Marcolli, Matilde

Article from CaltechAUTHORS

• Marcolli, Matilde and Panangaden, Jane (2024) Quantum statistical mechanics and the boundary of modular curves; Journal of Mathematical Physics; Vol. 65; No. 4; 042104; 10.1063/5.0179805
• Combe, Noémie and Manin, Yuri I., et el. (2023) Moufang patterns and geometry of information; Pure and Applied Mathematics Quarterly; Vol. 19; No. 1; 149-189; 10.4310/pamq.2023.v19.n1.a7
• Guicardi, Pedro and Marcolli, Matilde (2022) Fractality in cosmic topology models with spectral action gravity; Classical and Quantum Gravity; Vol. 39; No. 16; Art. No. 165007; 10.1088/1361-6382/ac7d8c
• Combe, Noémie and Manin, Yuri I., et el. (2022) Geometry of information: Classical and quantum aspects; Theoretical Computer Science; Vol. 908; 2-27; 10.1016/j.tcs.2021.10.020
• Heydeman, Matthew and Marcolli, Matilde, et el. (2022) Nonarchimedean holographic entropy from networks of perfect tensors; Advances in Theoretical and Mathematical Physics; Vol. 25; No. 3; 591-721; 10.4310/ATMP.2021.v25.n3.a2
• Port, Alexander and Karidi, Taelin, et el. (2022) Topological Analysis of Syntactic Structures; Mathematics in Computer Science; Vol. 16; No. 1; Art. No. 2; 10.1007/s11786-021-00520-5
• Shu, Kevin and Ortegaray, Andrew, et el. (2021) Phylogenetics of Indo-European Language Families via an Algebro-Geometric Analysis of Their Syntactic Structures; Mathematics in Computer Science; Vol. 15; No. 4; 803-857; 10.1007/s11786-021-00507-2
• Lima, Alicia and Marcolli, Matilde (2021) Functor of points and height functions for noncommutative Arakelov geometry; Journal of Geometry and Physics; Vol. 169; Art. No. 104337; 10.1016/j.geomphys.2021.104337
• Marcolli, Matilde and Penrose, Roger (2021) Gluing Non-commutative Twistor Spaces; Quarterly Journal of Mathematics; Vol. 72; No. 1-2; 417-454; 10.1093/qmath/haab024
• Atiyah, Michael and Marcolli, Matilde (2021) Anyon Networks from Geometric Models of Matter; Quarterly Journal of Mathematics; Vol. 72; No. 1-2; 717-733; 10.1093/qmath/haab004
• Manin, Yuri I. and Marcolli, Matilde (2020) Quantum Statistical Mechanics of the Absolute Galois Group; Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 16; Art. No. 038; 10.3842/sigma.2020.038
• Fathizadeh, Farzad and Kafkoulis, Yeorgia, et el. (2020) Bell Polynomials and Brownian Bridge in Spectral Gravity Models on Multifractal Robertson–Walker Cosmologies; Annales Henri Poincaré; Vol. 21; No. 4; 1329-1382; 10.1007/s00023-020-00894-5
• Manin, Yuri I. and Marcolli, Matilde (2020) Nori Diagrams and Persistent Homology; Mathematics in Computer Science; Vol. 14; 77-102; 10.1007/s11786-019-00422-7
• Marcolli, Matilde (2020) Holographic Codes on Bruhat-Tits buildings and Drinfeld Symmetric Spaces; Pure and Applied Mathematics Quarterly; Vol. 16; No. 1; 1-33; 10.4310/PAMQ.2020.v16.n1.a1
• Marcolli, Matilde (2019) Gamma spaces and information; Journal of Geometry and Physics; Vol. 140; 26-55; 10.1016/j.geomphys.2019.02.004
• Cornelissen, Gunther and Li, Xin, et el. (2019) Reconstructing global fields from dynamics in the abelianized Galois group; Selecta Mathematica - New Series; Vol. 25; No. 6; Art. No. 24; 10.1007/s00029-019-0469-8
• Manin, Yu. I. and Marcolli, M. (2019) Asymptotic bounds for spherical codes; Izvestiya: Mathematics; Vol. 83; No. 3; 540-564; 10.1070/im8739
• Cornelissen, Gunther and de Smit, Bart, et el. (2019) Characterization of global fields by Dirichlet L-series; Research in Number Theory; Vol. 5; No. 1; Art. No. 7; 10.1007/s40993-018-0143-9
• Marcolli, Matilde and Tabuada, Gonçalo (2019) Feynman quadrics-motive of the massive sunset graph; Journal of Number Theory; Vol. 195; 159-183; 10.1016/j.jnt.2018.06.001
• Fan, Wentao and Fathizadeh, Farzad, et el. (2019) Modular forms in the spectral action of Bianchi IX gravitational instantons; Journal of High Energy Physics; Vol. 2019; No. 1; Art. No. 234; 10.1007/JHEP01(2019)234
• Fan, Wentao and Fathizadeh, Farzad, et el. (2018) Motives and periods in Bianchi IX gravity models; Letters in Mathematical Physics; Vol. 108; No. 12; 2729-2747; 10.1007/s11005-018-1096-6
• Bernardara, Marcello and Marcolli, Matilde, et el. (2018) Some remarks concerning Voevodsky's nilpotence conjecture; Journal für die Reine und Angewandte Mathematik; Vol. 738; 299-312; 10.1515/crelle-2015-0068
• Port, Alexander and Gheorghita, Iulia, et el. (2018) Persistent Topology of Syntax; Mathematics in Computer Science; Vol. 12; No. 1; 33-50; 10.1007/s11786-017-0329-x
• Heydeman, Matthew and Marcolli, Matilde, et el. (2018) Tensor networks, p-adic fields, and algebraic curves: arithmetic and the AdS_3/CFT_2 correspondence; Advances in Theoretical and Mathematical Physics; Vol. 22; No. 1; 93-176; 10.4310/ATMP.2018.v22.n1.a4
• Fathizadeh, Farzad and Marcolli, Matilde (2017) Periods and motives in the spectral action of Robertson-Walker spacetimes; Communications in Mathematical Physics; Vol. 356; No. 2; 641-671; 10.1007/s00220-017-2991-x
• Marcolli, Matilde and Zhi, Ren (2017) q-deformations of statistical mechanical systems and motives over finite fields; p-Adic Numbers, Ultrametric Analysis and Applications; Vol. 9; No. 3; 204-227; 10.1134/S2070046617030049
• Atiyah, Michael and Marcolli, Matilde (2017) Anyons in Geometric Models of Matter; Journal of High Energy Physics; Vol. 2017; No. 07; Art. No. 076; 10.1007/JHEP07(2017)076
• Gubser, Steven S. and Heydeman, Matthew, et el. (2017) Edge length dynamics on graphs with applications to p-adic AdS/CFT; Journal of High Energy Physics; Vol. 2017; No. 6; 1-35; 10.1007/JHEP06(2017)157
• Marcolli, Matilde and Xu, Yujie (2017) Quantum statistical mechanics in arithmetic topology; Journal of Geometry and Physics; Vol. 114; 153-183; 10.1016/j.geomphys.2016.11.029
• Marcolli, Matilde (2017) Spectral action gravity and cosmological models; Comptes Rendus Physique; Vol. 18; No. 3-4; 226-234; 10.1016/j.crhy.2017.03.001
• Shu, Kevin and Marcolli, Matilde (2017) Syntactic Structures and Code Parameters; Mathematics in Computer Science; Vol. 11; No. 1; 79-90; 10.1007/s11786-017-0298-0
• Marcolli, Matilde (2017) Noncommutative geometry and particle physics [Book Review]; Bulletin of the American Mathematical Society; Vol. 54; No. 1; 167-169; 10.1090/bull/1555
• Marcolli, Matilde and Tabuada, Gonçalo (2017) Bost–Connes systems, categorification, quantum statistical mechanics, and Weil numbers; Journal of Noncommutative Geometry; Vol. 11; No. 1; 1-49; 10.4171/JNCG/11-1-1
• Marcolli, Matilde and Seipp, Kyle (2017) Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect; Advances in Theoretical and Mathematical Physics; Vol. 21; No. 2; 451-501; 10.4310/ATMP.2017.v21.n2.a3
• Manin, Yuri I. and Marcolli, Matilde (2016) Semantic Spaces; Mathematics in Computer Science; Vol. 10; No. 4; 459-477; 10.1007/s11786-016-0278-9
• Ball, Adam and Marcolli, Matilde (2016) Spectral Action Models of Gravity on Packed Swiss Cheese Cosmology; Classical and Quantum Gravity; Vol. 33; No. 11; Art. No. 115018; 10.1088/0264-9381/33/11/115018
• Marcolli, Matilde (2016) Syntactic Parameters and a Coding Theory Perspective on Entropy and Complexity of Language Families; Entropy; Vol. 18; No. 4; Art. No. 110; 10.3390/e18040110
• Marcinek, J. and Marcolli, M. (2016) KMS weights on higher rank buildings; P-Adic Numbers, Ultrametric Analysis, and Applications; Vol. 8; No. 1; 45-67; 10.1134/S2070046616010040
• Marcolli, Matilde and Tabuada, Gonçalo (2016) Noncommutative numerical motives, Tannakian structures, and motivic Galois groups; Journal of the European Mathematical Society; Vol. 18; No. 3; 623-655; 10.4171/JEMS/598
• Marcolli, Matilde and Ni, Xiang (2016) Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications; Journal of Singularities; Vol. 15; 80-117; 10.5427/jsing.2016.15e
• Marcolli, Matilde and Port, Alexander (2015) Graph Grammars, Insertion Lie Algebras, and Quantum Field Theory; Mathematics in Computer Science; Vol. 9; No. 4; 391-408; 10.1007/s11786-015-0236-y
• Marcolli, Matilde and Tedeschi, Nicolas (2015) Entropy algebras and Birkhoff factorization; Journal of Geometry and Physics; Vol. 97; 243-265; 10.1016/j.geomphys.2015.07.018
• Dasu, Shival and Marcolli, Matilde (2015) Potts models with magnetic field: Arithmetic, geometry, and computation; Journal of Geometry and Physics; Vol. 97; 14-24; 10.1016/j.geomphys.2015.06.018
• Fan, Wentao and Fathizadeh, Farzad, et el. (2015) Spectral Action for Bianchi Type-IX Cosmological Models; Journal of High Energy Physics; Vol. 2015; No. 10; Art. No. 085; 10.1007/JHEP10(2015)085
• Lin, Jennifer and Marcolli, Matilde, et el. (2015) Locality of Gravitational Systems from Entanglement of Conformal Field Theories; Physical Review Letters; Vol. 114; No. 22; Art. No. 221601; 10.1103/PhysRevLett.114.221601
• Marcolli, Matilde and Tabuada, Gonçalo (2015) From exceptional collections to motivic decompositions via noncommutative motives; Journal Für Die Reine und Angewandte Mathematik; Vol. 2015; No. 701; 153-167; 10.1515/crelle-2013-0027
• Lo, Catharine Wing Kwan and Marcolli, Matilde (2015) F_ζ-geometry, Tate motives, and the Habiro ring; International Journal of Number Theory; Vol. 11; No. 2; 311-339; 10.1142/S1793042115500189
• Marcolli, Matilde and Napp, John (2015) Quantum Computation and Real Multiplication; Mathematics in Computer Science; Vol. 9; No. 1; 63-84; 10.1007/s11786-014-0179-8
• Manin, Yuri I. and Marcolli, Matilde (2014) Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology?; Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 10; Art. No. 73; 10.3842/SIGMA.2014.073
• Marcolli, Matilde and Tabuada, Gonçalo (2014) Jacobians of noncommutative motives; Moscow Mathematical Journal; Vol. 14; No. 3; 577-594; 10.48550/arXiv.1212.1118
• Manin, Yuri and Marcolli, Matilde (2014) Kolmogorov complexity and the asymptotic bound for error-correcting codes; Journal of Differential Geometry; Vol. 97; No. 1; 91-108; 10.48550/arXiv.1203.0653
• Greenfield, M. and Marcolli, M., et el. (2014) Twisted Spectral Triples and Quantum Statistical Mechanical Systems; P-Adic Numbers, Ultrametric Analysis, and Applications; Vol. 6; No. 2; 81-104; 10.1134/S2070046614020010
• Marcolli, M. and Tedeschi, N. (2014) Multifractals, Mumford Curves and Eternal Inflation; P-Adic Numbers, Ultrametric Analysis, and Applications; Vol. 6; No. 2; 135-154; 10.1134/S2070046614020034
• Ceyhan, Özgür and Marcolli, Matilde (2014) Algebraic renormalization and Feynman integrals in configuration spaces; Advances in Theoretical and Mathematical Physics; Vol. 18; No. 2; 469-511; 10.4310/ATMP.2014.v18.n2.a5
• Jin, Zhaorong and Marcolli, Matilde (2014) Endomotives of toric varieties; Journal of Geometry and Physics; Vol. 77; 48-71; 10.1016/j.geomphys.2013.12.006
• Marcolli, Matilde and Tabuada, Gonçalo (2014) Noncommutative motives, numerical equivalence, and semi-simplicity; American Journal of Mathematics; Vol. 136; No. 1; 59-75; 10.1353/ajm.2014.0004
• Marcolli, Matilde and Tabuada, Gonçalo (2014) Noncommutative Artin motives; Selecta Mathematica - New Series; Vol. 20; No. 1; 315-358; 10.1007/s00029-013-0131-9
• Marcolli, Matilde and van Suijlekom, Walter D. (2014) Gauge networks in noncommutative geometry; Journal of Geometry and Physics; Vol. 75; 71-91; 10.1016/j.geomphys.2013.09.002
• Ćaćić, Branimir and Marcolli, Matilde, et el. (2014) Coupling of gravity to matter, spectral action and cosmic topology; Journal of Noncommutative Geometry; Vol. 8; No. 2; 473-504; 10.4171/JNCG/162
• Marcolli, Matilde and Thorngren, Ryan (2014) Thermodynamic semirings; Journal of Noncommutative Geometry; Vol. 8; No. 2; 337-392; 10.4171/JNCG/159
• Cornelissen, Gunther and Marcolli, Matilde (2013) Graph reconstruction and quantum statistical mechanics; Journal of Geometry and Physics; Vol. 72; 110-117; 10.1016/j.geomphys.2013.03.021
• Estrada, Christopher and Marcolli, Matilde (2013) Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models; International Journal of Geometric Methods in Modern Physics; Vol. 10; No. 7; Art. No. 1350036; 10.1142/S0219887813500369
• Bejleri, Dori and Marcolli, Matilde (2013) Quantum field theory over F_1; Journal of Geometry and Physics; Vol. 69; 40-59; 10.1016/j.geomphys.2013.03.002
• Marcolli, Matilde and Su, Jessica (2013) Arithmetic of Potts Model Hypersurfaces; International Journal of Geometric Methods in Modern Physics; Vol. 10; No. 4; Art. No. 1350005; 10.1142/S0219887813500059
• Aluffi, Paolo and Marcolli, Matilde (2013) A motivic approach to phase transitions in Potts models; Journal of Geometry and Physics; Vol. 63; 6-31; 10.1016/j.geomphys.2012.09.003
• Estrada, Christopher and Marcolli, Matilde (2013) Noncommutative Mixmaster Cosmologies; International Journal of Geometric Methods in Modern Physics; Vol. 10; No. 1; Art. No. 1250086; 10.1142/S0219887812500867
• Marcolli, Matilde and Tabuada, Gonçalo (2012) Kontsevich's noncommutative numerical motives; Compositio Mathematica; Vol. 148; No. 6; 1811-1820; 10.1112/S0010437X12000383
• Marcolli, Matilde and Perez, Christopher (2012) Codes as Fractals and Noncommutative Spaces; Mathematics in Computer Science; Vol. 6; No. 3; 199-215; 10.1007/s11786-012-0114-9
• Bhuyain, Tanvir Ahamed and Marcolli, Matilde (2012) The Ricci Flow on Noncommutative Two-Tori; Letters in Mathematical Physics; Vol. 101; No. 2; 173-194; 10.1007/s11005-012-0550-0
• Ceyhan, Özgür and Marcolli, Matilde (2012) Feynman Integrals and Motives of Configuration Spaces; Communications in Mathematical Physics; Vol. 313; No. 1; 35-70; 10.1007/s00220-012-1484-1
• Marcolli, Matilde and Pierpaoli, Elena, et el. (2012) The Coupling of Topology and Inflation in Noncommutative Cosmology; Communications in Mathematical Physics; Vol. 309; No. 2; 341-369; 10.1007/s00220-011-1352-4
• Marcolli, Matilde (2011) Building Cosmological Models via Noncommutative Geometry; International Journal of Geometric Methods in Modern Physics; Vol. 8; No. 5; 1131-1168; 10.1142/S0219887811005592
• Manin, Yuri I. and Marcolli, Matilde (2011) Error-Correcting Codes and Phase Transitions; Mathematics in Computer Science; Vol. 5; No. 2; 133-170; 10.1007/s11786-010-0031-8
• Marcolli, Matilde and Pierpaoli, Elena, et el. (2011) The Spectral Action and Cosmic Topology; Communications in Mathematical Physics; Vol. 304; No. 1; 125-174; 10.1007/s00220-011-1211-3
• Aluffi, Paolo and Marcolli, Matilde (2011) Graph Hypersurfaces and a Dichotomy in the Grothendieck Ring; Letters in Mathematical Physics; Vol. 95; No. 3; 223-232; 10.1007/s11005-011-0461-5
• Marcolli, Matilde and Paolucci, Anna Maria (2011) Cuntz–Krieger Algebras and Wavelets on Fractals; Complex Analysis and Operator Theory; Vol. 5; No. 1; 41-81; 10.1007/s11785-009-0044-y
• Aluffi, Paolo and Marcolli, Matilde (2011) Algebro-Geometric Feynman Rules; International Journal of Geometric Methods in Modern Physics; Vol. 8; No. 1; 203-237; 10.1142/S0219887811005099
• Denicola, Domenic and Marcolli, Matilde, et el. (2010) Spin foams and noncommutative geometry; Classical and Quantum Gravity; Vol. 27; No. 20; Art. No. 205025; 10.1088/0264-9381/27/20/205025
• Marcolli, Matilde and Pierpaoli, Elena (2010) Early universe models from noncommutative geometry; Advances in Theoretical and Mathematical Physics; Vol. 14; No. 5; 1373-1432; 10.4310/ATMP.2010.v14.n5.a2
• Kolodrubetz, Daniel and Marcolli, Matilde (2010) Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology; Physics Letters B; Vol. 693; No. 2; 166-174; 10.1016/j.physletb.2010.08.018
• Ceyhan, Özgür and Marcolli, Matilde (2010) Open string theory and planar algebras; Journal of Physics A: Mathematical and General; Vol. 43; No. 38; Art. No. 385401; 10.1088/1751-8113/43/38/385401
• Fleischhack, Christian and Marcolli, Matilde, et el. (2010) Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples; Oberwolfach Reports; Vol. 7; No. 1; 373-413; 10.4171/OWR/2010/09
• Aluffi, Paolo and Marcolli, Matilde (2010) Parametric Feynman integrals and determinant hypersurfaces; Advances in Theoretical and Mathematical Physics; Vol. 14; No. 3; 911-963; 10.48550/arXiv.0901.2107
• Marcolli, Matilde (2009) Cyclotomy and Endomotives; P-Adic Numbers, Ultrametric Analysis, and Applications; Vol. 1; No. 3; 217-263; 10.1134/S2070046609030042
• Connes, Alain and Consani, Caterina, et el. (2009) Fun with F_1; Journal of Number Theory; Vol. 129; No. 6; 1532-1561; 10.1016/j.jnt.2008.08.007
• Marcolli, Matilde and Zainy al-Yasry, Ahmad (2008) Coverings, correspondences, and noncommutative geometry; Journal of Geometry and Physics; Vol. 58; No. 12; 1639-1661; 10.1016/j.geomphys.2008.07.007
• Marcolli, Matilde and Rej, Abhijnan (2008) Supermanifolds from Feynman graphs; Journal of Physics A: Mathematical and Theoretical; Vol. 41; No. 31; 315402; 10.1088/1751-8113/41/31/315402
• Cornelissen, Gunther and Lorscheid, Oliver, et el. (2008) On the K-Theory of Graph C^∗-Algebras; Acta Applicandae Mathematicae; Vol. 102; No. 1; 57-69; 10.1007/s10440-008-9208-4
• Cornelissen, Gunther and Marcolli, Matilde (2008) Zeta functions that hear the shape of a Riemann surface; Journal of Geometry and Physics; Vol. 58; No. 5; 619-632; 10.1016/j.geomphys.2007.12.011
• Connes, Alain and Consani, Caterina, et el. (2007) Noncommutative geometry and motives: the thermodynamics of endomotives; Advances in Mathematics; Vol. 214; No. 2; 761-831; 10.1016/j.aim.2007.03.006
• Consani, Caterina and Marcolli, Matilde (2007) Quantum statistical mechanics over function fields; Journal of Number Theory; Vol. 123; No. 2; 487-528; 10.1016/j.jnt.2006.12.002
• Chamseddine, Ali H. and Connes, Alain, et el. (2007) Gravity and the standard model with neutrino mixing; Advances in Theoretical and Mathematical Physics; Vol. 11; No. 6; 991-1089; 10.4310/ATMP.2007.v11.n6.a3
• Connes, Alain and Marcolli, Matilde, et el. (2006) KMS states and complex multiplication; Selecta Mathematica - New Series; Vol. 11; No. 3-4; 325-347; 10.1007/s00029-005-0013-x
• Connes, Alain and Marcolli, Matilde (2006) Quantum fields and motives; Journal of Geometry and Physics; Vol. 56; No. 1; 55-85; 10.1016/j.geomphys.2005.04.004
• Connes, Alain and Marcolli, Matilde (2006) Q-lattices: Quantum statistical mechanics and Galois theory; Journal of Geometry and Physics; Vol. 56; No. 1; 2-23; 10.1016/j.geomphys.2005.04.010
• Connes, Alain and Marcolli, Matilde (2004) Renormalization and motivic galois theory; International Mathematics Research Notices; Vol. 76; 4073-4091; 10.1155/S1073792804143122
• Marcolli, Matilde (2003) Limiting modular symbols and the Lyapunov spectrum; Journal of Number Theory; Vol. 98; No. 2; 348-376; 10.1016/S0022-314X(02)00044-6
• Consani, Caterina and Marcolli, Matilde (2002) Spectral triples in Arakelov geometry; Comptes Rendus Mathematique; Vol. 335; No. 10; 779-784; 10.1016/S1631-073X(02)02569-4
• Booss-Bavnbek, Bernhelm and Marcolli, Matilde, et el. (2002) Weak UCP and Perturbed Monopole Equations; International Journal of Mathematics; Vol. 13; No. 9; 987-1008; 10.1142/S0129167X02001551
• Marcolli, Matilde and Wang, Bai-Ling (2002) Seiberg–Witten and Casson–Walker Invariants for Rational Homology 3-Spheres; Geometriae Dedicata; Vol. 91; No. 1; 45-58; 10.1023/A:1016299716922
• Marcolli, Matilde and Wang, Bai-Ling (2001) Equivariant Seiberg-Witten Floer homology; Communications in Analysis and Geometry; Vol. 9; No. 3; 451-639; 10.4310/CAG.2001.v9.n3.a1
• Marcolli, Matilde and Mathai, Varghese (2001) Twisted Index Theory on Good Orbifolds, II: Fractional Quantum Numbers; Communications in Mathematical Physics; Vol. 217; No. 1; 55-87; 10.1007/s002200000351
• Marcolli, Matilde and Mathai, Varghese (1999) Twisted index theory on good orbifolds, I: noncommutative Bloch theory; Communications in Contemporary Mathematics; Vol. 1; No. 4; 553-587; 10.1142/S0219199799000213
• Marcolli, Matilde (1996) Seiberg-Witten Floer Homology and Heegaard Splittings; International Journal of Mathematics; Vol. 7; No. 5; 671-696; 10.1142/S0129167X96000359