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## Marcolli, Matilde

Compute Distance To:
 Author ID: marcolli.matilde Published as: Marcolli, M.; Marcolli, Matilde Homepage: http://www.its.caltech.edu/~matilde/ External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 147 Publications since 1993, including 17 Books Reviewing Activity: 21 Reviews
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#### Co-Authors

 24 single-authored 14 Connes, Alain 14 Manin, Yuri Ivanovich 11 Tabuada, Gonçalo 10 Consani, Caterina 7 Cornelissen, Gunther 6 Aluffi, Paolo 5 Ceyhan, Özgür 5 Fathizadeh, Farzad 5 Wang, Bailing 4 Teh, Kevin 3 Fan, Wentao 3 Mathai, Varghese 3 Pierpaoli, Elena 2 al-Yasry, Ahmad Zainy 2 Carey, Alan L. 2 Dasu, Shival 2 Estrada, Christopher 2 Heydeman, Matthew 2 Khalkhali, Masoud 2 Li, Xin 2 Port, Alexander 2 Ramachandran, Niranjan 2 Saberi, Ingmar A. 2 Smit, Harry 2 Stoica, Bogdan 2 Tedeschi, Nicolas 2 van Suijlekom, Walter Daniël 1 Abbaspour, Hossein 1 Albeverio, Sergio A. 1 Atiyah, Michael Francis 1 Ball, Adam 1 Bejleri, Dori 1 Bernardara, Marcello 1 Bhuyain, Tanvir Ahamed 1 Blanchard, Etienne F. 1 Booss-Bavnbek, Bernhelm 1 Ćaćić, Branimir 1 Chamseddine, Ali Hani 1 Clark, John M. C. 1 de Smit, Bart 1 Delaney, Colleen 1 Denicola, Domenic 1 Ebrahimi-Fard, Kurusch 1 Ellwood, David Alexandre 1 Fleischhack, Christian 1 Gheorghita, Iulia 1 Greenfield, Moses A. 1 Gubser, Steven S. 1 Guth, Daniel J. 1 Hertling, Claus 1 Jepsen, Christian Baadsgaard 1 Jin, Zhaorong 1 Kafkoulis, Yeorgia 1 Liang, Crystal 1 Lo, Catharine Wing Kwan 1 Lorscheid, Oliver 1 Marcinek, Jake 1 Moscovici, Henri 1 Napp, John 1 Nest, Ryszard 1 Ni, Xiang 1 Paolucci, Anna Maria 1 Parashar, Deepak 1 Parikh, Sarthak 1 Paycha, Sylvie 1 Perez, Christopher 1 Plazas, Jorge 1 Popa, Sorin Teodor 1 Reihani, Kamran 1 Rej, Abhijnan 1 Ren, Zhi 1 Rennie, Adam 1 Seipp, Kyle 1 Shu, Kevin 1 Spreafico, Mauro 1 Su, Jessica 1 Thorngren, Ryan 1 Tradler, Thomas 1 Trundy, Brian 1 Vdovina, Alina A. 1 Xu, Yujie 1 Zolman, Nick
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#### Serials

 13 Journal of Geometry and Physics 8 Mathematics in Computer Science 7 Advances in Theoretical and Mathematical Physics 6 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 5 Communications in Mathematical Physics 5 Selecta Mathematica. New Series 5 International Journal of Geometric Methods in Modern Physics 5 Aspects of Mathematics 4 Journal of Number Theory 4 Journal of High Energy Physics 3 Letters in Mathematical Physics 3 Texts and Readings in Mathematics 3 Journal of Noncommutative Geometry 2 Classical and Quantum Gravity 2 Journal für die Reine und Angewandte Mathematik 2 International Journal of Mathematics 2 IMRN. International Mathematics Research Notices 2 Communications in Contemporary Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Physics A: Mathematical and Theoretical 2 Communications in Number Theory and Physics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Compositio Mathematica 1 Geometriae Dedicata 1 Journal of Differential Geometry 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Acta Applicandae Mathematicae 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Communications in Analysis and Geometry 1 Izvestiya: Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Nieuw Archief voor Wiskunde. Vijfde Serie 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Pure and Applied Mathematics Quarterly 1 Colloquium Publications. American Mathematical Society 1 Contemporary Mathematics 1 Progress in Mathematics 1 University Lecture Series 1 Clay Mathematics Proceedings 1 Complex Analysis and Operator Theory 1 Journal of Singularities 1 Research in Number Theory 1 Bollettino dell’Unione Matematica Italiana
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#### Fields

 68 Quantum theory (81-XX) 60 Algebraic geometry (14-XX) 51 Global analysis, analysis on manifolds (58-XX) 39 Number theory (11-XX) 32 Functional analysis (46-XX) 26 Relativity and gravitational theory (83-XX) 20 Statistical mechanics, structure of matter (82-XX) 16 Manifolds and cell complexes (57-XX) 13 General and overarching topics; collections (00-XX) 13 Associative rings and algebras (16-XX) 13 Category theory; homological algebra (18-XX) 13 Differential geometry (53-XX) 12 $$K$$-theory (19-XX) 12 Information and communication theory, circuits (94-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Algebraic topology (55-XX) 6 Computer science (68-XX) 5 Commutative algebra (13-XX) 5 Astronomy and astrophysics (85-XX) 4 Combinatorics (05-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Partial differential equations (35-XX) 4 General topology (54-XX) 3 Group theory and generalizations (20-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

114 Publications have been cited 1,098 times in 625 Documents Cited by Year
Gravity and the standard model with neutrino mixing. Zbl 1140.81022
Chamseddine, Ali H.; Connes, Alain; Marcolli, Matilde
2007
Noncommutative geometry, quantum fields and motives. Zbl 1209.58007
Connes, Alain; Marcolli, Matilde
2008
Noncommutative geometry, quantum fields and motives. Zbl 1159.58004
Connes, Alain; Marcolli, Matilde
2008
From physics to number theory via noncommutative geometry. Zbl 1126.58006
Connes, Alain; Marcolli, Matilde
2006
A walk in the noncommutative garden. Zbl 1145.14005
Connes, Alain; Marcolli, Matilde
2008
Cuntz-Krieger algebras and wavelets on fractals. Zbl 1225.46042
Marcolli, Matilde; Paolucci, Anna Maria
2011
Noncommutative geometry and motives: the thermodynamics of endomotives. Zbl 1125.14001
Connes, Alain; Consani, Caterina; Marcolli, Matilde
2007
KMS states and complex multiplication. Zbl 1106.58005
Connes, Alain; Marcolli, Matilde; Ramachandran, Niranjan
2005
Feynman motives of banana graphs. Zbl 1171.81384
Aluffi, Paolo; Marcolli, Matilde
2009
Continued fractions, modular symbols, and noncommutative geometry. Zbl 1116.11033
Manin, Y. I.; Marcolli, M.
2002
Fun with $$\mathbb F_1$$. Zbl 1228.11143
Connes, Alain; Consani, Caterina; Marcolli, Matilde
2009
The spectral action and cosmic topology. Zbl 1216.83064
Marcolli, Matilde; Pierpaoli, Elena; Teh, Kevin
2011
Feynman motives. Zbl 1192.14001
Marcolli, Matilde
2010
Holography principle and arithmetic of algebraic curves. Zbl 1042.14006
Manin, Yuri I.; Marcolli, Matilde
2001
The Ricci flow on noncommutative two-tori. Zbl 1261.53063
Bhuyain, Tanvir Ahamed; Marcolli, Matilde
2012
Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory. Zbl 1200.81113
Connes, Alain; Marcolli, Matilde
2007
Quantum statistical mechanics, $$L$$-series and anabelian geometry. I: Partition functions. Zbl 1329.82007
Cornelissen, Gunther; Marcolli, Matilde
2014
Early universe models from noncommutative geometry. Zbl 1243.83005
Marcolli, Matilde; Pierpaoli, Elena
2011
Edge length dynamics on graphs with applications to $$p$$-adic AdS/CFT. Zbl 1380.83066
Gubser, Steven S.; Heydeman, Matthew; Jepsen, Christian; Marcolli, Matilde; Parikh, Sarthak; Saberi, Ingmar; Stoica, Bogdan; Trundy, Brian
2017
From exceptional collections to motivic decompositions via noncommutative motives. Zbl 1349.14021
2015
Twisted index theory on good orbifolds. II: Fractional quantum numbers. Zbl 0982.58018
Marcolli, Matilde; Mathai, Varghese
2001
Twisted index theory on good orbifolds. I: Noncommutative Bloch theory. Zbl 0959.58035
Marcolli, Matilde; Mathai, Varghese
1999
Graph reconstruction and quantum statistical mechanics. Zbl 1278.05154
Cornelissen, Gunther; Marcolli, Matilde
2013
The Weil proof and the geometry of the adelès class space. Zbl 1208.11108
Connes, Alain; Consani, Caterina; Marcolli, Matilde
2009
Cyclotomy and endomotives. Zbl 1236.46067
Marcolli, Matilde
2009
Quantum fields and motives. Zbl 1092.81050
Connes, Alain; Marcolli, Matilde
2006
Equivariant Seiberg-Witten Floer homology. Zbl 1026.57025
Marcolli, Matilde; Wang, Bai-Ling
2001
Tensor networks, $$p$$-adic fields, and algebraic curves: arithmetic and the $$\mathrm{AdS}_3 / \mathrm{CFT}_2$$ correspondence. Zbl 1414.81207
Heydeman, Matthew; Marcolli, Matilde; Saberi, Ingmar A.; Stoica, Bogdan
2018
Algebro-geometric Feynman rules. Zbl 1225.81101
Aluffi, Paolo; Marcolli, Matilde
2011
Noncommutative geometry, dynamics, and $$\infty$$-adic Arakelov geometry. Zbl 1112.14023
Consani, Caterina; Marcolli, Matilde
2004
Noncommutative numerical motives, Tannakian structures, and motivic Galois groups. Zbl 1376.14004
2016
Feynman motives and deletion-contraction relations. Zbl 1221.81076
Aluffi, Paolo; Marcolli, Matilde
2011
Renormalization and motivic Galois theory. Zbl 1131.81021
Connes, Alain; Marcolli, Matilde
2004
Twisted spectral triples and quantum statistical mechanical systems. Zbl 1315.58006
Greenfield, M.; Marcolli, M.; Teh, K.
2014
The coupling of topology and inflation in noncommutative cosmology. Zbl 1242.83130
Marcolli, Matilde; Pierpaoli, Elena; Teh, Kevin
2012
Error-correcting codes and phase transitions. Zbl 1278.94097
Manin, Yuri I.; Marcolli, Matilde
2011
Noncommutative geometry on trees and buildings. Zbl 1153.58002
Cornelissen, G.; Marcolli, M.; Reihani, K.; Vdovina, A.
2008
Noncommutative motives, numerical equivalence, and semi-simplicity. Zbl 1315.18020
2014
Kontsevich’s noncommutative numerical motives. Zbl 1269.18004
2012
On the $$K$$-theory of graph $$C^{*}$$-algebras. Zbl 1144.19004
Cornelissen, Gunther; Lorscheid, Oliver; Marcolli, Matilde
2008
Quantum statistical mechanics over function fields. Zbl 1160.11043
Consani, Caterina; Marcolli, Matilde
2007
KMS states and complex multiplication. II. Zbl 1123.58004
Connes, Alain; Marcolli, Matilde; Ramachandran, Niranjan
2006
Towards the fractional quantum Hall effect: a noncommutative geometry perspective. Zbl 1105.81068
Marcolli, Matilde; Mathai, Varghese
2006
Weak UCP and perturbed monopole equations. Zbl 1058.58014
Booss-Bavnbek, Bernhelm; Marcolli, Matilde; Wang, Bai-Ling
2002
Seiberg-Witten-Floer homology and Heegaard splittings. Zbl 0867.57028
Marcolli, M.
1996
Symbolic dynamics, modular curves, and Bianchi IX cosmologies. Zbl 1380.37071
Manin, Yuri; Marcolli, Matilde
2016
Big bang, blowup, and modular curves: algebraic geometry in cosmology. Zbl 1296.85004
Manin, Yuri I.; Marcolli, Matilde
2014
Kolmogorov complexity and the asymptotic bound for error-correcting codes. Zbl 1318.94116
Manin, Yuri; Marcolli, Matilde
2014
Spectral triples from Mumford curves. Zbl 1072.11045
Consani, Caterina; Marcolli, Matilde
2003
Some remarks concerning Voevodsky’s nilpotence conjecture. Zbl 1388.14017
Bernardara, Marcello; Marcolli, Matilde; Tabuada, Gonçalo
2018
Spectral action for Bianchi type-IX cosmological models. Zbl 1388.83911
2015
Feynman integrals and motives of configuration spaces. Zbl 1256.81051
Ceyhan, Özgür; Marcolli, Matilde
2012
Parametric Feynman integrals and determinant hypersurfaces. Zbl 1229.81099
Aluffi, Paolo; Marcolli, Matilde
2010
Spin foams and noncommutative geometry. Zbl 1202.83043
Denicola, Domenic; Marcolli, Matilde; Al-Yasry, Ahmad Zainy
2010
$$\mathbb Q$$-lattices: quantum statistical mechanics and Galois theory. Zbl 1139.58003
Connes, Alain; Marcolli, Matilde
2006
Persistent topology of syntax. Zbl 1417.91428
Port, Alexander; Gheorghita, Iulia; Guth, Daniel; Clark, John M.; Liang, Crystal; Dasu, Shival; Marcolli, Matilde
2018
Modular index invariants of Mumford curves. Zbl 1270.46065
Carey, Alan; Marcolli, Matilde; Rennie, Adam
2011
Zeta functions that hear the shape of a Riemann surface. Zbl 1174.58004
Cornelissen, Gunther; Marcolli, Matilde
2008
Arithmetic noncommutative geometry. With a foreword by Yuri Manin. Zbl 1081.58005
Marcolli, Matilde
2005
Characterization of global fields by Dirichlet $$L$$-series. Zbl 1460.11137
Cornelissen, Gunther; de Smit, Bart; Li, Xin; Marcolli, Matilde; Smit, Harry
2019
Noncommutative cosmology. Zbl 1401.81005
Marcolli, Matilde
2018
Spectral action models of gravity on packed swiss cheese cosmology. Zbl 1342.83515
2016
Noncommutative motives and their applications. Zbl 1359.14005
2015
Algebraic renormalization and Feynman integrals in configuration spaces. Zbl 1309.81095
Ceyhan, Özgür; Marcolli, Matilde
2014
Coupling of gravity to matter, spectral action and cosmic topology. Zbl 1302.83036
Ćaćić, Branimir; Marcolli, Matilde; Teh, Kevin
2014
Thermodynamic semirings. Zbl 1332.94036
Marcolli, Matilde; Thorngren, Ryan
2014
Jacobians of noncommutative motives. Zbl 1310.14014
2014
Noncommutative mixmaster cosmologies. Zbl 1261.83044
2013
A motivic approach to phase transitions in Potts models. Zbl 1264.14006
Aluffi, Paolo; Marcolli, Matilde
2013
Graph hypersurfaces and a dichotomy in the Grothendieck ring. Zbl 1211.14013
Aluffi, Paolo; Marcolli, Matilde
2011
Motivic renormalization and singularities. Zbl 1218.81081
Marcolli, Matilde
2010
Feynman integrals and motives. Zbl 1192.81241
Marcolli, Matilde
2010
Modular shadows and the Lévy-Mellin $$\infty$$-adic transform. Zbl 1228.11144
Manin, Yuri I.; Marcolli, Matilde
2008
Coverings, correspondences, and noncommutative geometry. Zbl 1157.58001
2008
Modular curves, $$C^*$$-algebras and chaotic cosmology. Zbl 1176.83162
Marcolli, Matilde
2007
Seiberg-Witten and Casson-Walker invariants for rational homology 3-spheres. Zbl 0994.57027
Marcolli, Matilde; Wang, Bai-Ling
2002
Gamma spaces and information. Zbl 1420.81007
Marcolli, Matilde
2019
Periods and motives in the spectral action of Robertson-Walker spacetimes. Zbl 1379.83026
2017
Bost-Connes systems, categorification, quantum statistical mechanics, and Weil numbers. Zbl 1429.14003
2017
Semantic spaces. Zbl 1409.68302
Manin, Yuri I.; Marcolli, Matilde
2016
$$\mathbb{F}_{\zeta}$$-geometry, Tate motives, and the Habiro ring. Zbl 1327.14115
Lo, Catharine Wing Kwan; Marcolli, Matilde
2015
Noncommutative Artin motives. Zbl 1296.14002
2014
Building cosmological models via noncommutative geometry. Zbl 1229.83057
Marcolli, Matilde
2011
Solvmanifolds and noncommutative tori with real multiplication. Zbl 1161.58005
Marcolli, Matilde
2008
Reconstructing global fields from dynamics in the abelianized Galois group. Zbl 1431.11110
Cornelissen, Gunther; Li, Xin; Marcolli, Matilde; Smit, Harry
2019
Motives and periods in Bianchi IX gravity models. Zbl 1404.58014
2018
Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect. Zbl 1388.81994
Marcolli, Matilde; Seipp, Kyle
2017
Dyson-Schwinger equations in the theory of computation. Zbl 1346.81086
Delaney, Colleen; Marcolli, Matilde
2015
Entropy algebras and Birkhoff factorization. Zbl 1322.81017
Marcolli, Matilde; Tedeschi, Nicolas
2015
Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications. Zbl 1346.81047
Marcolli, Matilde; Ni, Xiang
2014
Multifractals, Mumford curves and eternal inflation. Zbl 1336.60192
Marcolli, M.; Tedeschi, N.
2014
Combinatorics and physics. Mini-workshop on renormalization, December 15–16, 2006, Conference on combinatorics and physics, March 19–23, 2007, Bonn, Germany. Zbl 1214.81008
Ebrahimi-Fard, Kurusch (ed.); Marcolli, Matilde (ed.); van Suijlekom, Walter D. (ed.)
2011
The geometric triangle for 3-dimensional Seiberg-Witten monopoles. Zbl 1038.58006
Carey, A. L.; Marcolli, M.; Wang, B. L.
2003
Limiting modular symbols and the Lyapunov spectrum. Zbl 1158.11316
Marcolli, Matilde
2003
Adinkras, dessins, origami, and supersymmetry spectral triples. Zbl 1445.17002
Marcolli, Matilde; Zolman, Nick
2019
Modular forms in the spectral action of Bianchi IX gravitational instantons. Zbl 1409.83062
2019
$$q$$-deformations of statistical mechanical systems and motives over finite fields. Zbl 1386.82006
Marcolli, Matilde; Ren, Zhi
2017
Syntactic structures and code parameters. Zbl 1441.94116
Shu, Kevin; Marcolli, Matilde
2017
Quantum statistical mechanics in arithmetic topology. Zbl 1360.82049
Marcolli, Matilde; Xu, Yujie
2017
KMS weights on higher rank buildings. Zbl 1392.46059
Marcinek, J.; Marcolli, M.
2016
Characterization of global fields by Dirichlet $$L$$-series. Zbl 1460.11137
Cornelissen, Gunther; de Smit, Bart; Li, Xin; Marcolli, Matilde; Smit, Harry
2019
Gamma spaces and information. Zbl 1420.81007
Marcolli, Matilde
2019
Reconstructing global fields from dynamics in the abelianized Galois group. Zbl 1431.11110
Cornelissen, Gunther; Li, Xin; Marcolli, Matilde; Smit, Harry
2019
Adinkras, dessins, origami, and supersymmetry spectral triples. Zbl 1445.17002
Marcolli, Matilde; Zolman, Nick
2019
Modular forms in the spectral action of Bianchi IX gravitational instantons. Zbl 1409.83062
2019
Tensor networks, $$p$$-adic fields, and algebraic curves: arithmetic and the $$\mathrm{AdS}_3 / \mathrm{CFT}_2$$ correspondence. Zbl 1414.81207
Heydeman, Matthew; Marcolli, Matilde; Saberi, Ingmar A.; Stoica, Bogdan
2018
Some remarks concerning Voevodsky’s nilpotence conjecture. Zbl 1388.14017
Bernardara, Marcello; Marcolli, Matilde; Tabuada, Gonçalo
2018
Persistent topology of syntax. Zbl 1417.91428
Port, Alexander; Gheorghita, Iulia; Guth, Daniel; Clark, John M.; Liang, Crystal; Dasu, Shival; Marcolli, Matilde
2018
Noncommutative cosmology. Zbl 1401.81005
Marcolli, Matilde
2018
Motives and periods in Bianchi IX gravity models. Zbl 1404.58014
2018
Edge length dynamics on graphs with applications to $$p$$-adic AdS/CFT. Zbl 1380.83066
Gubser, Steven S.; Heydeman, Matthew; Jepsen, Christian; Marcolli, Matilde; Parikh, Sarthak; Saberi, Ingmar; Stoica, Bogdan; Trundy, Brian
2017
Periods and motives in the spectral action of Robertson-Walker spacetimes. Zbl 1379.83026
2017
Bost-Connes systems, categorification, quantum statistical mechanics, and Weil numbers. Zbl 1429.14003
2017
Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect. Zbl 1388.81994
Marcolli, Matilde; Seipp, Kyle
2017
$$q$$-deformations of statistical mechanical systems and motives over finite fields. Zbl 1386.82006
Marcolli, Matilde; Ren, Zhi
2017
Syntactic structures and code parameters. Zbl 1441.94116
Shu, Kevin; Marcolli, Matilde
2017
Quantum statistical mechanics in arithmetic topology. Zbl 1360.82049
Marcolli, Matilde; Xu, Yujie
2017
Noncommutative numerical motives, Tannakian structures, and motivic Galois groups. Zbl 1376.14004
2016
Symbolic dynamics, modular curves, and Bianchi IX cosmologies. Zbl 1380.37071
Manin, Yuri; Marcolli, Matilde
2016
Spectral action models of gravity on packed swiss cheese cosmology. Zbl 1342.83515
2016
Semantic spaces. Zbl 1409.68302
Manin, Yuri I.; Marcolli, Matilde
2016
KMS weights on higher rank buildings. Zbl 1392.46059
Marcinek, J.; Marcolli, M.
2016
Moduli operad over $$\mathbb F_1$$. Zbl 1428.18035
Manin, Yuri I.; Marcolli, Matilde
2016
From exceptional collections to motivic decompositions via noncommutative motives. Zbl 1349.14021
2015
Spectral action for Bianchi type-IX cosmological models. Zbl 1388.83911
2015
Noncommutative motives and their applications. Zbl 1359.14005
2015
$$\mathbb{F}_{\zeta}$$-geometry, Tate motives, and the Habiro ring. Zbl 1327.14115
Lo, Catharine Wing Kwan; Marcolli, Matilde
2015
Dyson-Schwinger equations in the theory of computation. Zbl 1346.81086
Delaney, Colleen; Marcolli, Matilde
2015
Entropy algebras and Birkhoff factorization. Zbl 1322.81017
Marcolli, Matilde; Tedeschi, Nicolas
2015
Information algebras and their applications. Zbl 1396.81109
Marcolli, Matilde
2015
Graph grammars, insertion Lie algebras, and quantum field theory. Zbl 1333.68172
Marcolli, Matilde; Port, Alexander
2015
Quantum statistical mechanics, $$L$$-series and anabelian geometry. I: Partition functions. Zbl 1329.82007
Cornelissen, Gunther; Marcolli, Matilde
2014
Twisted spectral triples and quantum statistical mechanical systems. Zbl 1315.58006
Greenfield, M.; Marcolli, M.; Teh, K.
2014
Noncommutative motives, numerical equivalence, and semi-simplicity. Zbl 1315.18020
2014
Big bang, blowup, and modular curves: algebraic geometry in cosmology. Zbl 1296.85004
Manin, Yuri I.; Marcolli, Matilde
2014
Kolmogorov complexity and the asymptotic bound for error-correcting codes. Zbl 1318.94116
Manin, Yuri; Marcolli, Matilde
2014
Algebraic renormalization and Feynman integrals in configuration spaces. Zbl 1309.81095
Ceyhan, Özgür; Marcolli, Matilde
2014
Coupling of gravity to matter, spectral action and cosmic topology. Zbl 1302.83036
Ćaćić, Branimir; Marcolli, Matilde; Teh, Kevin
2014
Thermodynamic semirings. Zbl 1332.94036
Marcolli, Matilde; Thorngren, Ryan
2014
Jacobians of noncommutative motives. Zbl 1310.14014
2014
Noncommutative Artin motives. Zbl 1296.14002
2014
Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications. Zbl 1346.81047
Marcolli, Matilde; Ni, Xiang
2014
Multifractals, Mumford curves and eternal inflation. Zbl 1336.60192
Marcolli, M.; Tedeschi, N.
2014
Endomotives of toric varieties. Zbl 1315.14010
Jin, Zhaorong; Marcolli, Matilde
2014
Gauge networks in noncommutative geometry. Zbl 1315.81098
Marcolli, Matilde; Van Suijlekom, Walter D.
2014
Graph reconstruction and quantum statistical mechanics. Zbl 1278.05154
Cornelissen, Gunther; Marcolli, Matilde
2013
Noncommutative mixmaster cosmologies. Zbl 1261.83044
2013
A motivic approach to phase transitions in Potts models. Zbl 1264.14006
Aluffi, Paolo; Marcolli, Matilde
2013
Quantum field theory over $$\mathbb F_1$$. Zbl 1278.81130
Bejleri, Dori; Marcolli, Matilde
2013
Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models. Zbl 1273.83119
2013
Arithmetic of Potts model hypersurfaces. Zbl 1266.82017
Marcolli, Matilde; Su, Jessica
2013
The Ricci flow on noncommutative two-tori. Zbl 1261.53063
Bhuyain, Tanvir Ahamed; Marcolli, Matilde
2012
The coupling of topology and inflation in noncommutative cosmology. Zbl 1242.83130
Marcolli, Matilde; Pierpaoli, Elena; Teh, Kevin
2012
Kontsevich’s noncommutative numerical motives. Zbl 1269.18004
2012
Feynman integrals and motives of configuration spaces. Zbl 1256.81051
Ceyhan, Özgür; Marcolli, Matilde
2012
Cuntz-Krieger algebras and wavelets on fractals. Zbl 1225.46042
Marcolli, Matilde; Paolucci, Anna Maria
2011
The spectral action and cosmic topology. Zbl 1216.83064
Marcolli, Matilde; Pierpaoli, Elena; Teh, Kevin
2011
Early universe models from noncommutative geometry. Zbl 1243.83005
Marcolli, Matilde; Pierpaoli, Elena
2011
Algebro-geometric Feynman rules. Zbl 1225.81101
Aluffi, Paolo; Marcolli, Matilde
2011
Feynman motives and deletion-contraction relations. Zbl 1221.81076
Aluffi, Paolo; Marcolli, Matilde
2011
Error-correcting codes and phase transitions. Zbl 1278.94097
Manin, Yuri I.; Marcolli, Matilde
2011
Modular index invariants of Mumford curves. Zbl 1270.46065
Carey, Alan; Marcolli, Matilde; Rennie, Adam
2011
Graph hypersurfaces and a dichotomy in the Grothendieck ring. Zbl 1211.14013
Aluffi, Paolo; Marcolli, Matilde
2011
Building cosmological models via noncommutative geometry. Zbl 1229.83057
Marcolli, Matilde
2011
Combinatorics and physics. Mini-workshop on renormalization, December 15–16, 2006, Conference on combinatorics and physics, March 19–23, 2007, Bonn, Germany. Zbl 1214.81008
Ebrahimi-Fard, Kurusch (ed.); Marcolli, Matilde (ed.); van Suijlekom, Walter D. (ed.)
2011
Feynman motives. Zbl 1192.14001
Marcolli, Matilde
2010
Parametric Feynman integrals and determinant hypersurfaces. Zbl 1229.81099
Aluffi, Paolo; Marcolli, Matilde
2010
Spin foams and noncommutative geometry. Zbl 1202.83043
Denicola, Domenic; Marcolli, Matilde; Al-Yasry, Ahmad Zainy
2010
Motivic renormalization and singularities. Zbl 1218.81081
Marcolli, Matilde
2010
Feynman integrals and motives. Zbl 1192.81241
Marcolli, Matilde
2010
Open string theory and planar algebras. Zbl 1198.81153
Ceyhan, Özgür; Marcolli, Matilde
2010
Feynman motives of banana graphs. Zbl 1171.81384
Aluffi, Paolo; Marcolli, Matilde
2009
Fun with $$\mathbb F_1$$. Zbl 1228.11143
Connes, Alain; Consani, Caterina; Marcolli, Matilde
2009
The Weil proof and the geometry of the adelès class space. Zbl 1208.11108
Connes, Alain; Consani, Caterina; Marcolli, Matilde
2009
Cyclotomy and endomotives. Zbl 1236.46067
Marcolli, Matilde
2009
Noncommutative geometry, quantum fields and motives. Zbl 1209.58007
Connes, Alain; Marcolli, Matilde
2008
Noncommutative geometry, quantum fields and motives. Zbl 1159.58004
Connes, Alain; Marcolli, Matilde
2008
A walk in the noncommutative garden. Zbl 1145.14005
Connes, Alain; Marcolli, Matilde
2008
Noncommutative geometry on trees and buildings. Zbl 1153.58002
Cornelissen, G.; Marcolli, M.; Reihani, K.; Vdovina, A.
2008
On the $$K$$-theory of graph $$C^{*}$$-algebras. Zbl 1144.19004
Cornelissen, Gunther; Lorscheid, Oliver; Marcolli, Matilde
2008
Zeta functions that hear the shape of a Riemann surface. Zbl 1174.58004
Cornelissen, Gunther; Marcolli, Matilde
2008
Modular shadows and the Lévy-Mellin $$\infty$$-adic transform. Zbl 1228.11144
Manin, Yuri I.; Marcolli, Matilde
2008
Coverings, correspondences, and noncommutative geometry. Zbl 1157.58001
2008
Solvmanifolds and noncommutative tori with real multiplication. Zbl 1161.58005
Marcolli, Matilde
2008
Supermanifolds from Feynman graphs. Zbl 1156.81036
Marcolli, Matilde; Rej, Abhijnan
2008
An invitation to noncommutative geometry. Lectures of the international workshop on noncommutative geometry, Tehran, Iran, 2005. Zbl 1135.14002
Khalkhali, Masoud (ed.); Marcolli, Matilde (ed.)
2008
Gravity and the standard model with neutrino mixing. Zbl 1140.81022
Chamseddine, Ali H.; Connes, Alain; Marcolli, Matilde
2007
Noncommutative geometry and motives: the thermodynamics of endomotives. Zbl 1125.14001
Connes, Alain; Consani, Caterina; Marcolli, Matilde
2007
Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory. Zbl 1200.81113
Connes, Alain; Marcolli, Matilde
2007
Quantum statistical mechanics over function fields. Zbl 1160.11043
Consani, Caterina; Marcolli, Matilde
2007
Modular curves, $$C^*$$-algebras and chaotic cosmology. Zbl 1176.83162
Marcolli, Matilde
2007
From physics to number theory via noncommutative geometry. Zbl 1126.58006
Connes, Alain; Marcolli, Matilde
2006
Quantum fields and motives. Zbl 1092.81050
Connes, Alain; Marcolli, Matilde
2006
KMS states and complex multiplication. II. Zbl 1123.58004
Connes, Alain; Marcolli, Matilde; Ramachandran, Niranjan
2006
Towards the fractional quantum Hall effect: a noncommutative geometry perspective. Zbl 1105.81068
Marcolli, Matilde; Mathai, Varghese
2006
$$\mathbb Q$$-lattices: quantum statistical mechanics and Galois theory. Zbl 1139.58003
Connes, Alain; Marcolli, Matilde
2006
Archimedean cohomology revisited. Zbl 1101.14034
Consani, Caterina; Marcolli, Matilde
2006
KMS states and complex multiplication. Zbl 1106.58005
Connes, Alain; Marcolli, Matilde; Ramachandran, Niranjan
2005
Arithmetic noncommutative geometry. With a foreword by Yuri Manin. Zbl 1081.58005
Marcolli, Matilde
2005
Variants of equivariant Seiberg-Witten Floer homology. Zbl 1064.57012
Marcolli, Matilde; Wang, Bai-Ling
2005
...and 14 more Documents
all top 5

#### Cited by 639 Authors

 67 Marcolli, Matilde 23 van Suijlekom, Walter Daniël 22 Connes, Alain 19 Tabuada, Gonçalo 14 Cornelissen, Gunther 14 Martinetti, Pierre 13 Manin, Yuri Ivanovich 12 Chamseddine, Ali Hani 12 Sitarz, Andrzej 11 Fathizadeh, Farzad 10 Laca, Marcelo 10 Lizzi, Fedele 10 Wallet, Jean-Christophe 9 Consani, Caterina 9 D’Andrea, Francesco 9 Jørgensen, Palle E. T. 8 Dabrowski, Ludwik 8 Farsi, Carla 8 Gillaspy, Elizabeth 8 Iochum, Bruno 8 Kang, Sooran 8 Packer, Judith A. 8 Parikh, Sarthak 8 Ponge, Raphaël S. 7 Farnsworth, Shane 7 Khalkhali, Masoud 7 Larsen, Nadia S. 7 Mathai, Varghese 7 Stephan, Christoph A. 6 Aluffi, Paolo 6 Kozyrev, Sergeĭ Vladimirovich 6 Levy, Cyril 6 Neshveyev, Sergey V. 6 Shojaei-Fard, Ali 6 Teh, Kevin 5 Devastato, Agostino 5 Ebrahimi-Fard, Kurusch 5 Guo, Li 5 Jepsen, Christian Baadsgaard 5 Masson, Thierry 5 Vassilevich, Dmitri V. 4 Besnard, Fabien 4 Boyle, Latham Jun 4 Ćaćić, Branimir 4 Carey, Alan L. 4 Conti, Roberto 4 Correia Ramos, Carlos 4 de Goursac, Axel Marcillaud 4 Eckstein, Michał 4 Ghorbanpour, Asghar 4 Gubser, Steven S. 4 Hung, Ling-Yan 4 Jurić, Tajron 4 Kakariadis, Evgenios T. A. 4 Karpenkov, Oleg Nikolaevich 4 Li, Xianjin 4 Mahanta, Snigdhayan 4 Manchon, Dominique 4 Mizera, Sebastian 4 Pinto, Paulo R. F. 4 Raeburn, Iain 4 Rennie, Adam 4 Rivasseau, Vincent 4 Saueressig, Frank 4 Sukochev, Fedor Anatol’evich 4 Thiang, Guo Chuan 4 van den Dungen, Koenraad Lambertus 4 Wulkenhaar, Raimar 4 Yeats, Karen A. 3 Aastrup, Johannes 3 Agarwala, Susama 3 Bernardara, Marcello 3 Dubois-Violette, Michel 3 Dutkay, Dorin Ervin 3 Fan, Wentao 3 Grimstrup, Jesper Møller 3 Guin, Satyajit 3 Julien, Antoine 3 Kaufmann, Ralph M. 3 Kool, Janne 3 Krajewski, Thomas 3 Kurkov, Maxim A. 3 Li, Wei 3 Li, Xin 3 Lorscheid, Oliver 3 Manolescu, Ciprian 3 Martins, Nuno M. C. 3 Mastrolia, Pierpaolo 3 Morava, Jack Johnson 3 Némethi, András 3 Nest, Ryszard 3 Paolucci, Anna Maria 3 Patras, Frédéric 3 Pfäffle, Frank Jochen 3 Pierpaoli, Elena 3 Ramagge, Jacqui 3 Reuter, Martin 3 Smit, Harry 3 Stern, Abel B. 3 Tanasă, Adrian ...and 539 more Authors
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#### Cited in 150 Serials

 51 Journal of High Energy Physics 44 Journal of Geometry and Physics 42 Journal of Noncommutative Geometry 35 Communications in Mathematical Physics 28 Letters in Mathematical Physics 25 Journal of Mathematical Physics 22 Advances in Mathematics 18 Journal of Functional Analysis 18 Journal of Number Theory 17 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 13 International Journal of Geometric Methods in Modern Physics 9 International Journal of Modern Physics A 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Journal of Mathematical Analysis and Applications 7 Physics Letters. B 7 Reviews in Mathematical Physics 7 Proceedings of the American Mathematical Society 7 Mathematical Physics, Analysis and Geometry 7 Annales Henri Poincaré 7 Mathematics in Computer Science 6 Selecta Mathematica. New Series 5 Journal of Algebra 5 Mathematische Zeitschrift 5 Transactions of the American Mathematical Society 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Nuclear Physics. B 4 Journal of Pure and Applied Algebra 4 Journal de Théorie des Nombres de Bordeaux 4 Geometry & Topology 4 New Journal of Physics 4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 3 Modern Physics Letters A 3 International Journal of Theoretical Physics 3 Annales de l’Institut Fourier 3 Duke Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 Memoirs of the American Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 3 Journal of the European Mathematical Society (JEMS) 3 Journal of the Australian Mathematical Society 3 The European Physical Journal C. Particles and Fields 3 Japanese Journal of Mathematics. 3rd Series 2 General Relativity and Gravitation 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Fortschritte der Physik 2 Inventiones Mathematicae 2 Manuscripta Mathematica 2 Ergodic Theory and Dynamical Systems 2 Acta Applicandae Mathematicae 2 International Journal of Mathematics 2 The Journal of Geometric Analysis 2 Linear Algebra and its Applications 2 Journal of Knot Theory and its Ramifications 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal of Algebraic Geometry 2 Annales Mathématiques Blaise Pascal 2 Izvestiya: Mathematics 2 Communications in Contemporary Mathematics 2 Algebraic & Geometric Topology 2 Journal of Applied Mathematics and Computing 2 Journal of Algebra and its Applications 2 Functional Analysis and Other Mathematics 2 Journal of Fixed Point Theory and Applications 2 Complex Analysis and Operator Theory 2 Science China. Mathematics 2 Journal of Singularities 2 Kyoto Journal of Mathematics 2 Research in the Mathematical Sciences 2 Open Mathematics 2 Research in Number Theory 1 Computer Physics Communications 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Notes 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Nagoya Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series ...and 50 more Serials
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#### Cited in 55 Fields

 246 Quantum theory (81-XX) 174 Global analysis, analysis on manifolds (58-XX) 166 Functional analysis (46-XX) 112 Algebraic geometry (14-XX) 98 Number theory (11-XX) 84 Relativity and gravitational theory (83-XX) 72 Differential geometry (53-XX) 48 Associative rings and algebras (16-XX) 42 Manifolds and cell complexes (57-XX) 32 $$K$$-theory (19-XX) 30 Combinatorics (05-XX) 30 Category theory; homological algebra (18-XX) 30 Statistical mechanics, structure of matter (82-XX) 29 Dynamical systems and ergodic theory (37-XX) 26 Group theory and generalizations (20-XX) 25 Nonassociative rings and algebras (17-XX) 25 Topological groups, Lie groups (22-XX) 23 Partial differential equations (35-XX) 21 Operator theory (47-XX) 19 Algebraic topology (55-XX) 15 Several complex variables and analytic spaces (32-XX) 13 Ordinary differential equations (34-XX) 12 Probability theory and stochastic processes (60-XX) 11 Special functions (33-XX) 11 Information and communication theory, circuits (94-XX) 10 Measure and integration (28-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Abstract harmonic analysis (43-XX) 9 Functions of a complex variable (30-XX) 8 Field theory and polynomials (12-XX) 8 Commutative algebra (13-XX) 8 General topology (54-XX) 8 Computer science (68-XX) 8 Mechanics of particles and systems (70-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Convex and discrete geometry (52-XX) 6 Astronomy and astrophysics (85-XX) 5 General and overarching topics; collections (00-XX) 5 Mathematical logic and foundations (03-XX) 5 Biology and other natural sciences (92-XX) 4 Statistics (62-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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