<h1>Marcolli, Matilde</h1> <h2>Monograph from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2> <ul> <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>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>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>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>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>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>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 (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>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>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>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>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>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>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>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>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 (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>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>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 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>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>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: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: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 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: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 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> </ul>