<h1>Marcolli, Matilde</h1>
<h2>Combined from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2>
<ul>
<li>Marcolli, Matilde and Panangaden, Jane (2024) <a href="https://authors.library.caltech.edu/records/gqw1x-yeh18">Quantum statistical mechanics and the boundary of modular curves</a>; Journal of Mathematical Physics; Vol. 65; No. 4; 042104; <a href="https://doi.org/10.1063/5.0179805">10.1063/5.0179805</a></li>
<li>Combe, Noémie and Manin, Yuri I., el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230526-436673000.11">Moufang patterns and geometry of information</a>; Pure and Applied Mathematics Quarterly; Vol. 19; No. 1; 149-189; <a href="https://doi.org/10.4310/pamq.2023.v19.n1.a7">10.4310/pamq.2023.v19.n1.a7</a></li>
<li>Guicardi, Pedro and Marcolli, Matilde (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220705-671988000">Fractality in cosmic topology models with spectral action gravity</a>; Classical and Quantum Gravity; Vol. 39; No. 16; Art. No. 165007; <a href="https://doi.org/10.1088/1361-6382/ac7d8c">10.1088/1361-6382/ac7d8c</a></li>
<li>Combe, Noémie and Manin, Yuri I., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184625013">Geometry of information: Classical and quantum aspects</a>; Theoretical Computer Science; Vol. 908; 2-27; <a href="https://doi.org/10.1016/j.tcs.2021.10.020">10.1016/j.tcs.2021.10.020</a></li>
<li>Heydeman, Matthew and Marcolli, Matilde, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190115-160601117">Nonarchimedean holographic entropy from networks of perfect tensors</a>; Advances in Theoretical and Mathematical Physics; Vol. 25; No. 3; 591-721; <a href="https://doi.org/10.4310/ATMP.2021.v25.n3.a2">10.4310/ATMP.2021.v25.n3.a2</a></li>
<li>Port, Alexander and Karidi, Taelin, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220909-227096000">Topological Analysis of Syntactic Structures</a>; Mathematics in Computer Science; Vol. 16; No. 1; Art. No. 2; <a href="https://doi.org/10.1007/s11786-021-00520-5">10.1007/s11786-021-00520-5</a></li>
<li>Shu, Kevin and Ortegaray, Andrew, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210415-115930614">Phylogenetics of Indo-European Language Families via an Algebro-Geometric Analysis of Their Syntactic Structures</a>; Mathematics in Computer Science; Vol. 15; No. 4; 803-857; <a href="https://doi.org/10.1007/s11786-021-00507-2">10.1007/s11786-021-00507-2</a></li>
<li>Lima, Alicia and Marcolli, Matilde (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210908-171121986">Functor of points and height functions for noncommutative Arakelov geometry</a>; Journal of Geometry and Physics; Vol. 169; Art. No. 104337; <a href="https://doi.org/10.1016/j.geomphys.2021.104337">10.1016/j.geomphys.2021.104337</a></li>
<li>Combe, Noémie and Manin, Yuri I., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184621604">Moufang Patterns and Geometry of Information</a>; <a href="https://doi.org/10.48550/arXiv.2107.07486">10.48550/arXiv.2107.07486</a></li>
<li>Marcolli, Matilde (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20211222-457136400">Topological Model of Neural Information Networks</a>; ISBN 9783030802080; Geometric Science of Information; 623-633; <a href="https://doi.org/10.1007/978-3-030-80209-7_67">10.1007/978-3-030-80209-7_67</a></li>
<li>Marcolli, Matilde and Penrose, Roger (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210818-171944955">Gluing Non-commutative Twistor Spaces</a>; Quarterly Journal of Mathematics; Vol. 72; No. 1-2; 417-454; <a href="https://doi.org/10.1093/qmath/haab024">10.1093/qmath/haab024</a></li>
<li>Atiyah, Michael and Marcolli, Matilde (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210818-171348862">Anyon Networks from Geometric Models of Matter</a>; Quarterly Journal of Mathematics; Vol. 72; No. 1-2; 717-733; <a href="https://doi.org/10.1093/qmath/haab004">10.1093/qmath/haab004</a></li>
<li>Gakkhar, Sitanshu and Marcolli, Matilde (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184618189">Syntactic structures and the general Markov models</a>; <a href="https://doi.org/10.48550/arXiv.2104.08462">10.48550/arXiv.2104.08462</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184614782">Homotopy Spectra and Diophantine Equations</a>; <a href="https://doi.org/10.48550/arXiv.2101.00197">10.48550/arXiv.2101.00197</a></li>
<li>Combe, Noémie C. and Manin, Yuri I., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184611333">Birational maps and Nori motives</a>; <a href="https://doi.org/10.48550/arXiv.2012.13814">10.48550/arXiv.2012.13814</a></li>
<li>Marcolli, Matilde and Penrose, Roger (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184607934">Gluing Noncommutative Twistor Spaces</a>; <a href="https://doi.org/10.48550/arXiv.2012.02823v1">10.48550/arXiv.2012.02823v1</a></li>
<li>Aluffi, Paolo and Marcolli, Matilde, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184604511">Motives of melonic graphs</a>; <a href="https://doi.org/10.48550/arXiv.2007.08565">10.48550/arXiv.2007.08565</a></li>
<li>Marcolli, Matilde and Panangaden, Jane (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184601111">Quantum Statistical Mechanics and the Boundary of Modular Curves</a>; <a href="https://doi.org/10.48550/arXiv.2006.16897">10.48550/arXiv.2006.16897</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184557696">Homotopy Theoretic and Categorical Models of Neural Information Networks</a>; <a href="https://doi.org/10.48550/arXiv.2006.15136">10.48550/arXiv.2006.15136</a></li>
<li>Combe, Noémie C. and Manin, Yuri I., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184554285">Dessins for Modular Operad and Grothendieck-Teichmüller Group</a>; <a href="https://doi.org/10.48550/arXiv.2006.13663">10.48550/arXiv.2006.13663</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200518-092511147">Quantum Statistical Mechanics of the Absolute Galois Group</a>; Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 16; Art. No. 038; <a href="https://doi.org/10.3842/sigma.2020.038">10.3842/sigma.2020.038</a></li>
<li>Fathizadeh, Farzad and Kafkoulis, Yeorgia, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200211-084519645">Bell Polynomials and Brownian Bridge in Spectral Gravity Models on Multifractal Robertson–Walker Cosmologies</a>; Annales Henri Poincaré; Vol. 21; No. 4; 1329-1382; <a href="https://doi.org/10.1007/s00023-020-00894-5">10.1007/s00023-020-00894-5</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20191205-092818459">Nori Diagrams and Persistent Homology</a>; Mathematics in Computer Science; Vol. 14; 77-102; <a href="https://doi.org/10.1007/s11786-019-00422-7">10.1007/s11786-019-00422-7</a></li>
<li>Marcolli, Matilde (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200518-094042414">Holographic Codes on Bruhat-Tits buildings and Drinfeld Symmetric Spaces</a>; Pure and Applied Mathematics Quarterly; Vol. 16; No. 1; 1-33; <a href="https://doi.org/10.4310/PAMQ.2020.v16.n1.a1">10.4310/PAMQ.2020.v16.n1.a1</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200918-070725967">Homotopy types and geometries below Spec(ℤ)</a>; ISBN 978-1-4704-5100-4; Dynamics: Topology and Numbers; 27-56; <a href="https://doi.org/10.1090/conm/744/14978">10.1090/conm/744/14978</a></li>
<li>Marcolli, Matilde (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190222-112740050">Gamma spaces and information</a>; Journal of Geometry and Physics; Vol. 140; 26-55; <a href="https://doi.org/10.1016/j.geomphys.2019.02.004">10.1016/j.geomphys.2019.02.004</a></li>
<li>Cornelissen, Gunther and Li, Xin, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-082102987">Reconstructing global fields from dynamics in the abelianized Galois group</a>; Selecta Mathematica - New Series; Vol. 25; No. 6; Art. No. 24; <a href="https://doi.org/10.1007/s00029-019-0469-8">10.1007/s00029-019-0469-8</a></li>
<li>Manin, Yu. I. and Marcolli, M. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190711-104459099">Asymptotic bounds for spherical codes</a>; Izvestiya: Mathematics; Vol. 83; No. 3; 540-564; <a href="https://doi.org/10.1070/im8739">10.1070/im8739</a></li>
<li>Port, Alexander and Karidi, Taelin, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210825-184550813">Topological Analysis of Syntactic Structures</a>; <a href="https://doi.org/10.48550/arXiv.1903.05181">10.48550/arXiv.1903.05181</a></li>
<li>Cornelissen, Gunther and de Smit, Bart, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-082510174">Characterization of global fields by Dirichlet L-series</a>; Research in Number Theory; Vol. 5; No. 1; Art. No. 7; <a href="https://doi.org/10.1007/s40993-018-0143-9">10.1007/s40993-018-0143-9</a></li>
<li>Marcolli, Matilde and Tabuada, Gonçalo (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-083350725">Feynman quadrics-motive of the massive sunset graph</a>; Journal of Number Theory; Vol. 195; 159-183; <a href="https://doi.org/10.1016/j.jnt.2018.06.001">10.1016/j.jnt.2018.06.001</a></li>
<li>Fan, Wentao and Fathizadeh, Farzad, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-105237127">Modular forms in the spectral action of Bianchi IX gravitational instantons</a>; Journal of High Energy Physics; Vol. 2019; No. 1; Art. No. 234; <a href="https://doi.org/10.1007/JHEP01(2019)234">10.1007/JHEP01(2019)234</a></li>
<li>Lieber, Joshua F. and Manin, Yuri I., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200518-093742753">Bost-Connes systems and F₁-structures in Grothendieck rings, spectra, and Nori motives</a>; <a href="https://doi.org/10.48550/arXiv.1901.00020">10.48550/arXiv.1901.00020</a></li>
<li>Fan, Wentao and Fathizadeh, Farzad, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181101-083114372">Motives and periods in Bianchi IX gravity models</a>; Letters in Mathematical Physics; Vol. 108; No. 12; 2729-2747; <a href="https://doi.org/10.1007/s11005-018-1096-6">10.1007/s11005-018-1096-6</a></li>
<li>Shu, Kevin and Aziz, Sharjeel, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180529-110159594">Syntactic Phylogenetic Trees</a>; ISBN 978-3-319-64812-5; Foundations of Mathematics and Physics One Century After Hilbert; 417-441; <a href="https://doi.org/10.1007/978-3-319-64813-2_14">10.1007/978-3-319-64813-2_14</a></li>
<li>Bernardara, Marcello and Marcolli, Matilde, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-145442721">Some remarks concerning Voevodsky's nilpotence conjecture</a>; Journal für die Reine und Angewandte Mathematik; Vol. 738; 299-312; <a href="https://doi.org/10.1515/crelle-2015-0068">10.1515/crelle-2015-0068</a></li>
<li>Port, Alexander and Gheorghita, Iulia, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-111147439">Persistent Topology of Syntax</a>; Mathematics in Computer Science; Vol. 12; No. 1; 33-50; <a href="https://doi.org/10.1007/s11786-017-0329-x">10.1007/s11786-017-0329-x</a></li>
<li>Heydeman, Matthew and Marcolli, Matilde, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160615-160129721">Tensor networks, p-adic fields, and algebraic curves: arithmetic and the AdS_3/CFT_2 correspondence</a>; Advances in Theoretical and Mathematical Physics; Vol. 22; No. 1; 93-176; <a href="https://doi.org/10.4310/ATMP.2018.v22.n1.a4">10.4310/ATMP.2018.v22.n1.a4</a></li>
<li>Marcolli, Matilde (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200518-094532333">Motivic Information</a>; <a href="https://doi.org/10.48550/arXiv.1712.08703">10.48550/arXiv.1712.08703</a></li>
<li>Fathizadeh, Farzad and Marcolli, Matilde (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-091141446">Periods and motives in the spectral action of Robertson-Walker spacetimes</a>; Communications in Mathematical Physics; Vol. 356; No. 2; 641-671; <a href="https://doi.org/10.1007/s00220-017-2991-x">10.1007/s00220-017-2991-x</a></li>
<li>Park, Jeong Joon and Boettcher, Ronnel, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-110411817">Prevalence and recoverability of syntactic parameters in sparse distributed memories</a>; ISBN 978-3-319-68444-4; Geometric Science of Information. GSI 2017; 265-272; <a href="https://doi.org/10.1007/978-3-319-68445-1_31">10.1007/978-3-319-68445-1_31</a></li>
<li>Marcolli, Matilde and Zhi, Ren (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-084525536">q-deformations of statistical mechanical systems and motives over finite fields</a>; p-Adic Numbers, Ultrametric Analysis and Applications; Vol. 9; No. 3; 204-227; <a href="https://doi.org/10.1134/S2070046617030049">10.1134/S2070046617030049</a></li>
<li>Atiyah, Michael and Marcolli, Matilde (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-085827096">Anyons in Geometric Models of Matter</a>; Journal of High Energy Physics; Vol. 2017; No. 07; Art. No. 076; <a href="https://doi.org/10.1007/JHEP07(2017)076">10.1007/JHEP07(2017)076</a></li>
<li>Gubser, Steven S. and Heydeman, Matthew, el al. (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170707-065452085">Edge length dynamics on graphs with applications to p-adic AdS/CFT</a>; Journal of High Energy Physics; Vol. 2017; No. 6; 1-35; <a href="https://doi.org/10.1007/JHEP06(2017)157">10.1007/JHEP06(2017)157</a></li>
<li>Marcolli, Matilde and Xu, Yujie (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170417-110402207">Quantum statistical mechanics in arithmetic topology</a>; Journal of Geometry and Physics; Vol. 114; 153-183; <a href="https://doi.org/10.1016/j.geomphys.2016.11.029">10.1016/j.geomphys.2016.11.029</a></li>
<li>Shu, Kevin and Marcolli, Matilde (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170614-110933652">Syntactic Structures and Code Parameters</a>; Mathematics in Computer Science; Vol. 11; No. 1; 79-90; <a href="https://doi.org/10.1007/s11786-017-0298-0">10.1007/s11786-017-0298-0</a></li>
<li>Marcolli, Matilde (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170531-104221597">Spectral action gravity and cosmological models</a>; Comptes Rendus Physique; Vol. 18; No. 3-4; 226-234; <a href="https://doi.org/10.1016/j.crhy.2017.03.001">10.1016/j.crhy.2017.03.001</a></li>
<li>Marcolli, Matilde (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170913-081309497">Noncommutative geometry and particle physics [Book Review]</a>; Bulletin of the American Mathematical Society; Vol. 54; No. 1; 167-169; <a href="https://doi.org/10.1090/bull/1555">10.1090/bull/1555</a></li>
<li>Marcolli, Matilde and Tabuada, Gonçalo (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170330-165516108">Bost–Connes systems, categorification, quantum statistical mechanics, and Weil numbers</a>; Journal of Noncommutative Geometry; Vol. 11; No. 1; 1-49; <a href="https://doi.org/10.4171/JNCG/11-1-1">10.4171/JNCG/11-1-1</a></li>
<li>Marcolli, Matilde and Seipp, Kyle (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-130729557">Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect</a>; Advances in Theoretical and Mathematical Physics; Vol. 21; No. 2; 451-501; <a href="https://doi.org/10.4310/ATMP.2017.v21.n2.a3">10.4310/ATMP.2017.v21.n2.a3</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170124-100433482">Semantic Spaces</a>; Mathematics in Computer Science; Vol. 10; No. 4; 459-477; <a href="https://doi.org/10.1007/s11786-016-0278-9">10.1007/s11786-016-0278-9</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-091753130">Moduli Operad over F_1</a>; ISBN 978-3-03719-157-6; Absolute arithmetic and F1-geometry; 331-361; <a href="https://doi.org/10.4171/157-1/7">10.4171/157-1/7</a></li>
<li>Marcolli, Matilde and Zolman, Nick (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-101818792">Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples</a>; <a href="https://doi.org/10.48550/arXiv.1606.04463">10.48550/arXiv.1606.04463</a></li>
<li>Ball, Adam and Marcolli, Matilde (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160105-102322403">Spectral Action Models of Gravity on Packed Swiss Cheese Cosmology</a>; Classical and Quantum Gravity; Vol. 33; No. 11; Art. No. 115018; <a href="https://doi.org/10.1088/0264-9381/33/11/115018">10.1088/0264-9381/33/11/115018</a></li>
<li>Marcolli, Matilde (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160420-165543640">Syntactic Parameters and a Coding Theory Perspective on Entropy and Complexity of Language Families</a>; Entropy; Vol. 18; No. 4; Art. No. 110; <a href="https://doi.org/10.3390/e18040110">10.3390/e18040110</a></li>
<li>Marcolli, Matilde (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160601-111532492">Information Algebras and Their Applications</a>; ISBN 978-3-319-25039-7; Geometric Science of Information; 271-276; <a href="https://doi.org/10.1007/978-3-319-25040-3_30">10.1007/978-3-319-25040-3_30</a></li>
<li>Marcinek, J. and Marcolli, M. (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160505-082023887">KMS weights on higher rank buildings</a>; P-Adic Numbers, Ultrametric Analysis, and Applications; Vol. 8; No. 1; 45-67; <a href="https://doi.org/10.1134/S2070046616010040">10.1134/S2070046616010040</a></li>
<li>Marcolli, Matilde and Ni, Xiang (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-142940847">Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications</a>; Journal of Singularities; Vol. 15; 80-117; <a href="https://doi.org/10.5427/jsing.2016.15e">10.5427/jsing.2016.15e</a></li>
<li>Marcolli, Matilde and Tabuada, Gonçalo (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160408-132805755">Noncommutative numerical motives, Tannakian structures, and motivic Galois groups</a>; Journal of the European Mathematical Society; Vol. 18; No. 3; 623-655; <a href="https://doi.org/10.4171/JEMS/598">10.4171/JEMS/598</a></li>
<li>Marcolli, Matilde and Port, Alexander (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160301-093947103">Graph Grammars, Insertion Lie Algebras, and Quantum Field Theory</a>; Mathematics in Computer Science; Vol. 9; No. 4; 391-408; <a href="https://doi.org/10.1007/s11786-015-0236-y">10.1007/s11786-015-0236-y</a></li>
<li>Dasu, Shival and Marcolli, Matilde (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151015-160216557">Potts models with magnetic field: Arithmetic, geometry, and computation</a>; Journal of Geometry and Physics; Vol. 97; 14-24; <a href="https://doi.org/10.1016/j.geomphys.2015.06.018">10.1016/j.geomphys.2015.06.018</a></li>
<li>Marcolli, Matilde and Tedeschi, Nicolas (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151016-150705985">Entropy algebras and Birkhoff factorization</a>; Journal of Geometry and Physics; Vol. 97; 243-265; <a href="https://doi.org/10.1016/j.geomphys.2015.07.018">10.1016/j.geomphys.2015.07.018</a></li>
<li>Fan, Wentao and Fathizadeh, Farzad, el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151005-140911430">Spectral Action for Bianchi Type-IX Cosmological Models</a>; Journal of High Energy Physics; Vol. 2015; No. 10; Art. No. 085; <a href="https://doi.org/10.1007/JHEP10(2015)085">10.1007/JHEP10(2015)085</a></li>
<li>Lin, Jennifer and Marcolli, Matilde, el al. (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150616-152928658">Locality of Gravitational Systems from Entanglement of Conformal Field Theories</a>; Physical Review Letters; Vol. 114; No. 22; Art. No. 221601; <a href="https://doi.org/10.1103/PhysRevLett.114.221601">10.1103/PhysRevLett.114.221601</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-124502018">Symbolic Dynamics, Modular Curves, and Bianchi IX Cosmologies</a>; <a href="https://doi.org/10.48550/arXiv.1504.04005">10.48550/arXiv.1504.04005</a></li>
<li>Marcolli, Matilde and Tabuada, Gonçalo (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150608-104133815">From exceptional collections to motivic decompositions via noncommutative motives</a>; Journal Für Die Reine und Angewandte Mathematik; Vol. 2015; No. 701; 153-167; <a href="https://doi.org/10.1515/crelle-2013-0027">10.1515/crelle-2013-0027</a></li>
<li>Lo, Catharine Wing Kwan and Marcolli, Matilde (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150424-091752124">F_ζ-geometry, Tate motives, and the Habiro ring</a>; International Journal of Number Theory; Vol. 11; No. 2; 311-339; <a href="https://doi.org/10.1142/S1793042115500189">10.1142/S1793042115500189</a></li>
<li>Marcolli, Matilde and Napp, John (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151209-134217011">Quantum Computation and Real Multiplication</a>; Mathematics in Computer Science; Vol. 9; No. 1; 63-84; <a href="https://doi.org/10.1007/s11786-014-0179-8">10.1007/s11786-014-0179-8</a></li>
<li>Marcolli, Matilde and Tabuada, Gonçalo (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151119-101540033">Unconditional noncommutative motivic Galois groups</a>; ISBN 978-1-4704-0990-6; Hodge Theory and Classical Algebraic Geometry; 109-115; <a href="https://doi.org/10.48550/arXiv.1112.5422">10.48550/arXiv.1112.5422</a></li>
<li>Marcolli, Matilde (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170615-124503245">The Wolf and the Street: Narrative Encounters with Mathematics</a>; ISBN 978-3-319-01230-8; Imagine Math 3; 225-234; <a href="https://doi.org/10.1007/978-3-319-01231-5_16">10.1007/978-3-319-01231-5_16</a></li>
<li>Delaney, Colleen and Marcolli, Matilde (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151130-084148729">Dyson-Schwinger equations in the theory of computation</a>; ISBN 978-1-4704-2247-9; Feynman Amplitudes, Periods and Motives; 79-107; <a href="https://doi.org/10.48550/arXiv.1302.5040">10.48550/arXiv.1302.5040</a></li>
<li>Marcolli, Matilde and Tabuada, Gonçalo (2015) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-143931835">Noncommutative motives and their applications</a>; ISBN 978-1-107-06562-8; Commutative algebra and noncommutative algebraic geometry; 191-214; <a href="https://doi.org/10.48550/arXiv.1311.2867">10.48550/arXiv.1311.2867</a></li>
<li>Cornelissen, Gunther and Marcolli, Matilde (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170628-141113183">Quantum Statistical Mechanics, L-Series and Anabelian Geometry I: Partition Functions</a>; ISBN 978-3-319-05253-3; Trends in Contemporary Mathematics; 47-57; <a href="https://doi.org/10.1007/978-3-319-05254-0_4">10.1007/978-3-319-05254-0_4</a></li>
<li>Marcolli, Matilde (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-150210854">Principles and Parameters: a coding theory perspective</a>; <a href="https://doi.org/10.48550/arXiv.1407.7169">10.48550/arXiv.1407.7169</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140815-135716277">Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology?</a>; Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 10; Art. No. 73; <a href="https://doi.org/10.3842/SIGMA.2014.073">10.3842/SIGMA.2014.073</a></li>
<li>Marcolli, Matilde and Tabuada, Gonçalo (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141111-073436103">Jacobians of noncommutative motives</a>; Moscow Mathematical Journal; Vol. 14; No. 3; 577-594; <a href="https://doi.org/10.48550/arXiv.1212.1118">10.48550/arXiv.1212.1118</a></li>
<li>Manin, Yuri and Marcolli, Matilde (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140821-111916358">Kolmogorov complexity and the asymptotic bound for error-correcting codes</a>; Journal of Differential Geometry; Vol. 97; No. 1; 91-108; <a href="https://doi.org/10.48550/arXiv.1203.0653">10.48550/arXiv.1203.0653</a></li>
<li>Marcolli, M. and Tedeschi, N. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140717-154554320">Multifractals, Mumford Curves and Eternal Inflation</a>; P-Adic Numbers, Ultrametric Analysis, and Applications; Vol. 6; No. 2; 135-154; <a href="https://doi.org/10.1134/S2070046614020034">10.1134/S2070046614020034</a></li>
<li>Ceyhan, Özgür and Marcolli, Matilde (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141212-091347163">Algebraic renormalization and Feynman integrals in configuration spaces</a>; Advances in Theoretical and Mathematical Physics; Vol. 18; No. 2; 469-511; <a href="https://doi.org/10.4310/ATMP.2014.v18.n2.a5">10.4310/ATMP.2014.v18.n2.a5</a></li>
<li>Greenfield, M. and Marcolli, M., el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140718-073647086">Twisted Spectral Triples and Quantum Statistical Mechanical Systems</a>; P-Adic Numbers, Ultrametric Analysis, and Applications; Vol. 6; No. 2; 81-104; <a href="https://doi.org/10.1134/S2070046614020010">10.1134/S2070046614020010</a></li>
<li>Jin, Zhaorong and Marcolli, Matilde (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140401-134330780">Endomotives of toric varieties</a>; Journal of Geometry and Physics; Vol. 77; 48-71; <a href="https://doi.org/10.1016/j.geomphys.2013.12.006">10.1016/j.geomphys.2013.12.006</a></li>
<li>Marcolli, Matilde and Tabuada, Gonçalo (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140324-104258394">Noncommutative motives, numerical equivalence, and semi-simplicity</a>; American Journal of Mathematics; Vol. 136; No. 1; 59-75; <a href="https://doi.org/10.1353/ajm.2014.0004">10.1353/ajm.2014.0004</a></li>
<li>Marcolli, Matilde and van Suijlekom, Walter D. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140109-093610920">Gauge networks in noncommutative geometry</a>; Journal of Geometry and Physics; Vol. 75; 71-91; <a href="https://doi.org/10.1016/j.geomphys.2013.09.002">10.1016/j.geomphys.2013.09.002</a></li>
<li>Marcolli, Matilde and Tabuada, Gonçalo (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140127-152321287">Noncommutative Artin motives</a>; Selecta Mathematica - New Series; Vol. 20; No. 1; 315-358; <a href="https://doi.org/10.1007/s00029-013-0131-9">10.1007/s00029-013-0131-9</a></li>
<li>Marcolli, Matilde (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141125-125438021">Noncommutative geometry models for particle physics</a>; ISBN 9789814460057; Geometric, algebraic and topological methods for quantum field theory; 189-223; <a href="https://doi.org/10.1142/9789814460057_0005">10.1142/9789814460057_0005</a></li>
<li>Ćaćić, Branimir and Marcolli, Matilde, el al. (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141114-110040989">Coupling of gravity to matter, spectral action and cosmic topology</a>; Journal of Noncommutative Geometry; Vol. 8; No. 2; 473-504; <a href="https://doi.org/10.4171/JNCG/162">10.4171/JNCG/162</a></li>
<li>Marcolli, Matilde and Thorngren, Ryan (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141113-080729733">Thermodynamic semirings</a>; Journal of Noncommutative Geometry; Vol. 8; No. 2; 337-392; <a href="https://doi.org/10.4171/JNCG/159">10.4171/JNCG/159</a></li>
<li>Cornelissen, Gunther and Marcolli, Matilde (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130909-153558798">Graph reconstruction and quantum statistical mechanics</a>; Journal of Geometry and Physics; Vol. 72; 110-117; <a href="https://doi.org/10.1016/j.geomphys.2013.03.021">10.1016/j.geomphys.2013.03.021</a></li>
<li>Estrada, Christopher and Marcolli, Matilde (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120911-145601334">Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models</a>; International Journal of Geometric Methods in Modern Physics; Vol. 10; No. 7; Art. No. 1350036; <a href="https://doi.org/10.1142/S0219887813500369">10.1142/S0219887813500369</a></li>
<li>Bejleri, Dori and Marcolli, Matilde (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130611-084746994">Quantum field theory over F_1</a>; Journal of Geometry and Physics; Vol. 69; 40-59; <a href="https://doi.org/10.1016/j.geomphys.2013.03.002">10.1016/j.geomphys.2013.03.002</a></li>
<li>Greenfield, Mark and Marcolli, Matilde, el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-132224908">Type III σ-spectral triples and quantum statistical mechanical systems</a>; <a href="https://doi.org/10.48550/arXiv.1305.5492">10.48550/arXiv.1305.5492</a></li>
<li>Marcolli, Matilde and Su, Jessica (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130507-112308486">Arithmetic of Potts Model Hypersurfaces</a>; International Journal of Geometric Methods in Modern Physics; Vol. 10; No. 4; Art. No. 1350005; <a href="https://doi.org/10.1142/S0219887813500059">10.1142/S0219887813500059</a></li>
<li>Aluffi, Paolo and Marcolli, Matilde (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130117-104305431">A motivic approach to phase transitions in Potts models</a>; Journal of Geometry and Physics; Vol. 63; 6-31; <a href="https://doi.org/10.1016/j.geomphys.2012.09.003">10.1016/j.geomphys.2012.09.003</a></li>
<li>Estrada, Christopher and Marcolli, Matilde (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130514-095557537">Noncommutative Mixmaster Cosmologies</a>; International Journal of Geometric Methods in Modern Physics; Vol. 10; No. 1; Art. No. 1250086; <a href="https://doi.org/10.1142/S0219887812500867">10.1142/S0219887812500867</a></li>
<li>Marcolli, Matilde and Tabuada, Gonçalo (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130102-141740985">Kontsevich's noncommutative numerical motives</a>; Compositio Mathematica; Vol. 148; No. 6; 1811-1820; <a href="https://doi.org/10.1112/S0010437X12000383">10.1112/S0010437X12000383</a></li>
<li>Ceyhan, Özgür and Marcolli, Matilde (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-093539099">Feynman integrals and periods in configuration spaces</a>; <a href="https://doi.org/10.48550/arXiv.1207.3544">10.48550/arXiv.1207.3544</a></li>
<li>Marcolli, Matilde and Perez, Christopher (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130328-095244455">Codes as Fractals and Noncommutative Spaces</a>; Mathematics in Computer Science; Vol. 6; No. 3; 199-215; <a href="https://doi.org/10.1007/s11786-012-0114-9">10.1007/s11786-012-0114-9</a></li>
<li>Bhuyain, Tanvir Ahamed and Marcolli, Matilde (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120820-083919381">The Ricci Flow on Noncommutative Two-Tori</a>; Letters in Mathematical Physics; Vol. 101; No. 2; 173-194; <a href="https://doi.org/10.1007/s11005-012-0550-0">10.1007/s11005-012-0550-0</a></li>
<li>Ceyhan, Özgür and Marcolli, Matilde (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120710-100433105">Feynman Integrals and Motives of Configuration Spaces</a>; Communications in Mathematical Physics; Vol. 313; No. 1; 35-70; <a href="https://doi.org/10.1007/s00220-012-1484-1">10.1007/s00220-012-1484-1</a></li>
<li>Marcolli, Matilde and Pierpaoli, Elena, el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120203-142242831">The Coupling of Topology and Inflation in Noncommutative Cosmology</a>; Communications in Mathematical Physics; Vol. 309; No. 2; 341-369; <a href="https://doi.org/10.1007/s00220-011-1352-4">10.1007/s00220-011-1352-4</a></li>
<li>Marcolli, Matilde (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130212-112112394">Motivic structures in quantum field theory</a>; ISBN 9780821872956; String-Math 2011; 173-190</li>
<li>Marcolli, Matilde (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111207-093921796">Building Cosmological Models via Noncommutative Geometry</a>; International Journal of Geometric Methods in Modern Physics; Vol. 8; No. 5; 1131-1168; <a href="https://doi.org/10.1142/S0219887811005592">10.1142/S0219887811005592</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-080808371">Error-Correcting Codes and Phase Transitions</a>; Mathematics in Computer Science; Vol. 5; No. 2; 133-170; <a href="https://doi.org/10.1007/s11786-010-0031-8">10.1007/s11786-010-0031-8</a></li>
<li>Marcolli, Matilde and Pierpaoli, Elena, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110509-092722190">The Spectral Action and Cosmic Topology</a>; Communications in Mathematical Physics; Vol. 304; No. 1; 125-174; <a href="https://doi.org/10.1007/s00220-011-1211-3">10.1007/s00220-011-1211-3</a></li>
<li>Marcolli, Matilde and Paolucci, Anna Maria (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110322-095729744">Cuntz–Krieger Algebras and Wavelets on Fractals</a>; Complex Analysis and Operator Theory; Vol. 5; No. 1; 41-81; <a href="https://doi.org/10.1007/s11785-009-0044-y">10.1007/s11785-009-0044-y</a></li>
<li>Aluffi, Paolo and Marcolli, Matilde (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110318-142126748">Graph Hypersurfaces and a Dichotomy in the Grothendieck Ring</a>; Letters in Mathematical Physics; Vol. 95; No. 3; 223-232; <a href="https://doi.org/10.1007/s11005-011-0461-5">10.1007/s11005-011-0461-5</a></li>
<li>Aluffi, Paolo and Marcolli, Matilde (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111205-113131774">Algebro-Geometric Feynman Rules</a>; International Journal of Geometric Methods in Modern Physics; Vol. 8; No. 1; 203-237; <a href="https://doi.org/10.1142/S0219887811005099">10.1142/S0219887811005099</a></li>
<li>Aluffi, Paolo and Marcolli, Matilde (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110613-094812678">Feynman motives and deletion-contraction relations</a>; ISBN 978-0-8218-4890-6; Topology of Algebraic Varieties and Singularities; 21-64; <a href="https://doi.org/10.48550/arXiv.0907.3225">10.48550/arXiv.0907.3225</a></li>
<li>Carey, Alan and Marcolli, Matilde, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120712-101547699">Modular Index Invariants of Mumford Curves</a>; ISBN 9781421403526; Noncommutative geometry, arithmetic, and related topics: proceedings of the Twenty-first Meeting of the Japan-U.S. Mathematics Institute; 31-73; <a href="https://doi.org/10.48550/arXiv.0905.3157">10.48550/arXiv.0905.3157</a></li>
<li>Marcolli, Matilde and Parashar, Deepak (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180808-084743368">Quantum Groups and Noncommutative Spaces: Perspectives on Quantum Geometry</a>; ISBN 978-3-8348-1442-5; <a href="https://doi.org/10.1007/978-3-8348-9831-9">10.1007/978-3-8348-9831-9</a></li>
<li>Connes, Alain and Consani, Caterina, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-091114280">The Weil Proof and the Geometry of the Adelès Class Space</a>; ISBN 978-0-8176-4744-5; Algebra, Arithmetic, and Geometry. Volume I: In Honor of Yu. I. Manin; 339-405; <a href="https://doi.org/10.1007/978-0-8176-4745-2_8">10.1007/978-0-8176-4745-2_8</a></li>
<li>Denicola, Domenic and Marcolli, Matilde, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101012-141717687">Spin foams and noncommutative geometry</a>; Classical and Quantum Gravity; Vol. 27; No. 20; Art. No. 205025; <a href="https://doi.org/10.1088/0264-9381/27/20/205025">10.1088/0264-9381/27/20/205025</a></li>
<li>Marcolli, Matilde and Pierpaoli, Elena (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111111-141226446">Early universe models from noncommutative geometry</a>; Advances in Theoretical and Mathematical Physics; Vol. 14; No. 5; 1373-1432; <a href="https://doi.org/10.4310/ATMP.2010.v14.n5.a2">10.4310/ATMP.2010.v14.n5.a2</a></li>
<li>Kolodrubetz, Daniel and Marcolli, Matilde (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20101103-111640771">Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology</a>; Physics Letters B; Vol. 693; No. 2; 166-174; <a href="https://doi.org/10.1016/j.physletb.2010.08.018">10.1016/j.physletb.2010.08.018</a></li>
<li>Ceyhan, Özgür and Marcolli, Matilde (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100920-094734398">Open string theory and planar algebras</a>; Journal of Physics A: Mathematical and General; Vol. 43; No. 38; Art. No. 385401; <a href="https://doi.org/10.1088/1751-8113/43/38/385401">10.1088/1751-8113/43/38/385401</a></li>
<li>Fleischhack, Christian and Marcolli, Matilde, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180806-102243722">Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples</a>; Oberwolfach Reports; Vol. 7; No. 1; 373-413; <a href="https://doi.org/10.4171/OWR/2010/09">10.4171/OWR/2010/09</a></li>
<li>Bellissard, Jean V. and Marcolli, Matilde, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-092526227">Dynamical Systems on Spectral Metric Spaces</a>; <a href="https://doi.org/10.48550/arXiv.1008.4617">10.48550/arXiv.1008.4617</a></li>
<li>Aluffi, Paolo and Marcolli, Matilde (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110725-070951650">Parametric Feynman integrals and determinant hypersurfaces</a>; Advances in Theoretical and Mathematical Physics; Vol. 14; No. 3; 911-963; <a href="https://doi.org/10.48550/arXiv.0901.2107">10.48550/arXiv.0901.2107</a></li>
<li>Marcolli, Matilde (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-133251099">Noncommutative Geometry and Arithmetic</a>; <a href="https://doi.org/10.48550/arXiv.1003.3662">10.48550/arXiv.1003.3662</a></li>
<li>Blanchard, Etienne and Ellwood, David, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180814-142452298">Quanta of Maths</a>; ISBN 9780821852033</li>
<li>Marcolli, Matilde (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110324-084219567">Motivic renormalization and singularities</a>; ISBN 978-0-8218-5203-3; Quanta of Maths: Conference in Honor of Alain Connes; 409-458; <a href="https://doi.org/10.48550/arXiv.0804.4824v3">10.48550/arXiv.0804.4824v3</a></li>
<li>Marcolli, Matilde (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100921-095023951">Feynman integrals and motives</a>; <a href="https://doi.org/10.48550/arXiv.0907.0321">10.48550/arXiv.0907.0321</a></li>
<li>Ceyhan, Özgür and Manin, Yu. I., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180808-085720175">Arithmetic and Geometry Around Quantization</a>; ISBN 978-0-8176-4830-5; <a href="https://doi.org/10.1007/978-0-8176-4831-2">10.1007/978-0-8176-4831-2</a></li>
<li>Abbaspour, Hossein and Marcolli, Matilde, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180808-091119205">Deformation Spaces: Perspectives on algebro-geometric moduli</a>; ISBN 978-3-8348-1271-1; <a href="https://doi.org/10.1007/978-3-8348-9680-3">10.1007/978-3-8348-9680-3</a></li>
<li>Marcolli, Matilde (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180808-075818895">Feynman Motives</a>; ISBN 978-981-4271-20-2; <a href="https://doi.org/10.1142/7245">10.1142/7245</a></li>
<li>Rej, Abhijnan and Marcolli, Matilde (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-090534368">Motives: an introductory survey for physicists</a>; <a href="https://doi.org/10.48550/arXiv.0907.4046">10.48550/arXiv.0907.4046</a></li>
<li>Marcolli, Matilde (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100414-093452256">Cyclotomy and Endomotives</a>; P-Adic Numbers, Ultrametric Analysis, and Applications; Vol. 1; No. 3; 217-263; <a href="https://doi.org/10.1134/S2070046609030042">10.1134/S2070046609030042</a></li>
<li>Connes, Alain and Consani, Caterina, el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090714-095640002">Fun with F_1</a>; Journal of Number Theory; Vol. 129; No. 6; 1532-1561; <a href="https://doi.org/10.1016/j.jnt.2008.08.007">10.1016/j.jnt.2008.08.007</a></li>
<li>Marcolli, Matilde and Zainy al-Yasry, Ahmad (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-075152597">Coverings, correspondences, and noncommutative geometry</a>; Journal of Geometry and Physics; Vol. 58; No. 12; 1639-1661; <a href="https://doi.org/10.1016/j.geomphys.2008.07.007">10.1016/j.geomphys.2008.07.007</a></li>
<li>Marcolli, Matilde and Rej, Abhijnan (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:MARjpa08">Supermanifolds from Feynman graphs</a>; Journal of Physics A: Mathematical and Theoretical; Vol. 41; No. 31; 315402; <a href="https://doi.org/10.1088/1751-8113/41/31/315402">10.1088/1751-8113/41/31/315402</a></li>
<li>Aluffi, Paolo and Marcolli, Matilde (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-091134506">Feynman motives of banana graphs</a>; <a href="https://doi.org/10.48550/arXiv.0807.1690">10.48550/arXiv.0807.1690</a></li>
<li>Cornelissen, Gunther and Marcolli, Matilde (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:CORjgp08">Zeta functions that hear the shape of a Riemann surface</a>; Journal of Geometry and Physics; Vol. 58; No. 5; 619-632; <a href="https://doi.org/10.1016/j.geomphys.2007.12.011">10.1016/j.geomphys.2007.12.011</a></li>
<li>Cornelissen, Gunther and Lorscheid, Oliver, el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:CORaam08">On the K-Theory of Graph C^∗-Algebras</a>; Acta Applicandae Mathematicae; Vol. 102; No. 1; 57-69; <a href="https://doi.org/10.1007/s10440-008-9208-4">10.1007/s10440-008-9208-4</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-091711317">Modular shadows and the Levy-Mellin ∞-adic transform</a>; ISBN 9780521493543; Modular Forms on Schiermonnikoog; 189-238; <a href="https://doi.org/10.1017/CBO9780511543371.012">10.1017/CBO9780511543371.012</a></li>
<li>Marcolli, Matilde (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-090024525">Solvmanifolds and noncommutative tori with real multiplication</a>; <a href="https://doi.org/10.48550/arXiv.0711.2036">10.48550/arXiv.0711.2036</a></li>
<li>Connes, Alain and Consani, Caterina, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:CONam07">Noncommutative geometry and motives: the thermodynamics of endomotives</a>; Advances in Mathematics; Vol. 214; No. 2; 761-831; <a href="https://doi.org/10.1016/j.aim.2007.03.006">10.1016/j.aim.2007.03.006</a></li>
<li>Consani, Caterina and Marcolli, Matilde (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:CONjnt07">Quantum statistical mechanics over function fields</a>; Journal of Number Theory; Vol. 123; No. 2; 487-528; <a href="https://doi.org/10.1016/j.jnt.2006.12.002">10.1016/j.jnt.2006.12.002</a></li>
<li>Chamseddine, Ali H. and Connes, Alain, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:CHAatmp07">Gravity and the standard model with neutrino mixing</a>; Advances in Theoretical and Mathematical Physics; Vol. 11; No. 6; 991-1089; <a href="https://doi.org/10.4310/ATMP.2007.v11.n6.a3">10.4310/ATMP.2007.v11.n6.a3</a></li>
<li>Cornelissen, Gunther and Marcolli, Matilde, el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-083009140">Noncommutative geometry on trees and buildings</a>; <a href="https://doi.org/10.48550/arXiv.0604114">10.48550/arXiv.0604114</a></li>
<li>Connes, Alain and Marcolli, Matilde, el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110808-140919868">KMS states and complex multiplication</a>; Selecta Mathematica - New Series; Vol. 11; No. 3-4; 325-347; <a href="https://doi.org/10.1007/s00029-005-0013-x">10.1007/s00029-005-0013-x</a></li>
<li>Connes, Alain and Marcolli, Matilde (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-081431578">A walk in the noncommutative garden</a>; <a href="https://doi.org/10.48550/arXiv.0601054">10.48550/arXiv.0601054</a></li>
<li>Connes, Alain and Marcolli, Matilde (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110224-082841783">Quantum fields and motives</a>; Journal of Geometry and Physics; Vol. 56; No. 1; 55-85; <a href="https://doi.org/10.1016/j.geomphys.2005.04.004">10.1016/j.geomphys.2005.04.004</a></li>
<li>Connes, Alain and Marcolli, Matilde (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110224-082841614">Q-lattices: Quantum statistical mechanics and Galois theory</a>; Journal of Geometry and Physics; Vol. 56; No. 1; 2-23; <a href="https://doi.org/10.1016/j.geomphys.2005.04.010">10.1016/j.geomphys.2005.04.010</a></li>
<li>Marcolli, Matilde and Mathai, Varghese (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-154917444">Towards the fractional quantum Hall effect: a noncommutative geometry perspective</a>; <a href="https://doi.org/10.48550/arXiv.0502356">10.48550/arXiv.0502356</a></li>
<li>Connes, Alain and Marcolli, Matilde (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-080604764">From Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory</a>; <a href="https://doi.org/10.48550/arXiv.0411114">10.48550/arXiv.0411114</a></li>
<li>Marcolli, Matilde (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-083048947">Lectures on Arithmetic Noncommutative Geometry</a>; <a href="https://doi.org/10.48550/arXiv.0409520">10.48550/arXiv.0409520</a></li>
<li>Consani, Caterina and Marcolli, Matilde (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-085828455">Archimedean cohomology revisited</a>; <a href="https://doi.org/10.48550/arXiv.0407480">10.48550/arXiv.0407480</a></li>
<li>Connes, Alain and Marcolli, Matilde (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-081805785">From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices</a>; <a href="https://doi.org/10.48550/arXiv.0404128">10.48550/arXiv.0404128</a></li>
<li>Connes, Alain and Marcolli, Matilde (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110817-140437615">Renormalization and motivic galois theory</a>; International Mathematics Research Notices; Vol. 76; 4073-4091; <a href="https://doi.org/10.1155/S1073792804143122">10.1155/S1073792804143122</a></li>
<li>Marcolli, Matilde (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-082602443">Modular curves, C^* algebras, and chaotic cosmology</a>; <a href="https://doi.org/10.48550/arXiv.0312035">10.48550/arXiv.0312035</a></li>
<li>Consani, Caterina and Marcolli, Matilde (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-075105845">Non-commutative geometry, dynamics, and infinity-adic Arakelov geometry</a>; <a href="https://doi.org/10.48550/arXiv.0205306">10.48550/arXiv.0205306</a></li>
<li>Marcolli, Matilde (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111013-134118921">Limiting modular symbols and the Lyapunov spectrum</a>; Journal of Number Theory; Vol. 98; No. 2; 348-376; <a href="https://doi.org/10.1016/S0022-314X(02)00044-6">10.1016/S0022-314X(02)00044-6</a></li>
<li>Consani, Caterina and Marcolli, Matilde (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111019-090624789">Spectral triples in Arakelov geometry</a>; Comptes Rendus Mathematique; Vol. 335; No. 10; 779-784; <a href="https://doi.org/10.1016/S1631-073X(02)02569-4">10.1016/S1631-073X(02)02569-4</a></li>
<li>Marcolli, Matilde and Wang, Bai-Ling (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-080540298">Variants of equivariant Seiberg-Witten Floer homology</a>; <a href="https://doi.org/10.48550/arXiv.0211238">10.48550/arXiv.0211238</a></li>
<li>Booss-Bavnbek, Bernhelm and Marcolli, Matilde, el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111019-085917147">Weak UCP and Perturbed Monopole Equations</a>; International Journal of Mathematics; Vol. 13; No. 9; 987-1008; <a href="https://doi.org/10.1142/S0129167X02001551">10.1142/S0129167X02001551</a></li>
<li>Consani, C. and Marcolli, M. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-075847963">Spectral triples from Mumford curves</a>; <a href="https://doi.org/10.48550/arXiv.0210435">10.48550/arXiv.0210435</a></li>
<li>Consani, Caterina and Marcolli, Matilde (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-075158422">New perspectives in Arakelov geometry</a>; <a href="https://doi.org/10.48550/arXiv.0210357">10.48550/arXiv.0210357</a></li>
<li>Consani, Caterina and Marcolli, Matilde (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-071539391">Triplets spectraux en géométrie d'Arakelov</a>; <a href="https://doi.org/10.48550/arXiv.0209182">10.48550/arXiv.0209182</a></li>
<li>Marcolli, Matilde and Wang, Bai-Ling (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111026-110403593">Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres</a>; Geometriae Dedicata; Vol. 91; No. 1; 45-58; <a href="https://doi.org/10.1023/A:1016299716922">10.1023/A:1016299716922</a></li>
<li>Carey, A. L. and Marcolli, M., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-090503578">The geometric triangle for 3-dimensional Seiberg-Witten monopoles</a>; <a href="https://doi.org/10.48550/arXiv.9907065">10.48550/arXiv.9907065</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-074226681">Holography principle and arithmetic of algebraic curves</a>; <a href="https://doi.org/10.48550/arXiv.0201036">10.48550/arXiv.0201036</a></li>
<li>Manin, Yuri I. and Marcolli, Matilde (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-072319363">Continued fractions, modular symbols, and non-commutative geometry</a>; <a href="https://doi.org/10.48550/arXiv.0102006">10.48550/arXiv.0102006</a></li>
<li>Marcolli, Matilde and Wang, Bai-Ling (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111104-094350111">Equivariant Seiberg-Witten Floer homology</a>; Communications in Analysis and Geometry; Vol. 9; No. 3; 451-639; <a href="https://doi.org/10.4310/CAG.2001.v9.n3.a1">10.4310/CAG.2001.v9.n3.a1</a></li>
<li>Marcolli, Matilde and Mathai, Varghese (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111104-093842954">Twisted Index Theory on Good Orbifolds, II: Fractional Quantum Numbers</a>; Communications in Mathematical Physics; Vol. 217; No. 1; 55-87; <a href="https://doi.org/10.1007/s002200000351">10.1007/s002200000351</a></li>
<li>Marcolli, Matilde and Wang, Bai-Ling (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-073152604">Exact triangles in monopole homology and the Casson-Walker invariant</a>; <a href="https://doi.org/10.48550/arXiv.0101127">10.48550/arXiv.0101127</a></li>
<li>Marcolli, Matilde and Wang, Bai-Ling (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-151923729">Exact triangles in Seiberg-Witten Floer theory. Part IV: Z-graded monopole homology</a>; <a href="https://doi.org/10.48550/arXiv.0009159">10.48550/arXiv.0009159</a></li>
<li>Marcolli, Matilde and Wang, Bai-Ling (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-152627045">Exact triangles in Seiberg-Witten Floer theory. Part III: proof of exactness</a>; <a href="https://doi.org/10.48550/arXiv.0009157v1">10.48550/arXiv.0009157v1</a></li>
<li>Marcolli, Matilde and Wang, Bai-Ling (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-094456115">Exact triangles in Seiberg-Witten Floer theory. Part II: geometric limits of flow lines</a>; <a href="https://doi.org/10.48550/arXiv.9907080">10.48550/arXiv.9907080</a></li>
<li>Marcolli, Matilde and Mathai, Varghese (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-095029363">Twisted index theory on good orbifolds, I: noncommutative Bloch theory</a>; Communications in Contemporary Mathematics; Vol. 1; No. 4; 553-587; <a href="https://doi.org/10.1142/S0219199799000213">10.1142/S0219199799000213</a></li>
<li>Marcolli, Matilde and Mathai, Varghese (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-093723319">Twisted higher index theory on good orbifolds and fractional quantum numbers</a>; <a href="https://doi.org/10.48550/arXiv.9803051">10.48550/arXiv.9803051</a></li>
<li>Marcolli, Matilde (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170713-092558409">Seiberg-Witten Floer Homology and Heegaard Splittings</a>; International Journal of Mathematics; Vol. 7; No. 5; 671-696; <a href="https://doi.org/10.1142/S0129167X96000359">10.1142/S0129167X96000359</a></li>
</ul>