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Marcolli, Matilde

Co-Author Distance

Author ID:: marcolli.matilde
Published as:: Marcolli, Matilde;Marcolli, M.
Homepage:: http://www.its.caltech.edu/~matilde/
External Links:: MGP ·Wikidata ·Math-Net.Ru ·dblp ·GND ·IdRef ·theses.fr

Documents Indexed:

189 Publications since 1993, including8 Books and26 Additional arXiv Preprints

10 Contributions as Editor ·4 Further Contributions

Reviewing Activity:

21 Reviews

Co-Authors:

101 Co-Authors with 171 Joint Publications

1,881 Co-Co-Authors

all top 5

Co-Authors

30	single-authored
27	Manin, Yuriĭ Ivanovich
16	Connes, Alain
11	Consani, Caterina
11	Tabuada, Gonçalo
9	Aluffi, Paolo
9	Wang, Bailing
7	Combe, Noemie C.
7	Cornelissen, Gunther
5	Berwick, Robert C.
5	Ceyhan, Özgür
5	Fathizadeh, Farzad
4	Mathai, Varghese
4	Teh, Kevin
3	Chomsky, Noam Avram
3	Fan, Wentao
3	Heydeman, Matthew
3	Parikh, Sarthak
3	Pierpaoli, Elena
3	Port, Alexander
3	Saberi, Ingmar A.
2	al-Yasry, Ahmad Zainy
2	Atiyah, Michael Francis
2	Carey, Alan L.
2	Dasu, Shival
2	Estrada, Christopher
2	Gakkhar, Sita
2	Gesteau, Elliott
2	Khalkhali, Masoud
2	Li, Xin
2	Ortegaray, Andrew
2	Plazas, Jorge
2	Ramachandran, Niranjan
2	Reihani, Kamran
2	Rej, Abhijnan
2	Shu, Kevin
2	Smit, Harry
2	Stoica, Bogdan
2	Tedeschi, Nicolas
2	van Suijlekom, Walter Daniël
1	Abbaspour, Hossein
1	Albeverio, Sergio A.
1	Ball, Adam
1	Beilinson, Alexander A.
1	Bejleri, Dori
1	Bellissard, Jean V.
1	Berkovich, Vladimir G.
1	Bernardara, Marcello
1	Bhuyain, Tanvir Ahamed
1	Blanchard, Etienne F.
1	Boateng, Luisa
1	Bogomolov, Fedor Alekseivich
1	Booss-Bavnbek, Bernhelm
1	Ćaćić, Branimir
1	Chamseddine, Ali Hani
1	Chen, Stephanie T.
1	Colliot-Thélène, Jean-Louis
1	de Smit, Bart
1	Delaney, Colleen
1	Denicola, Domenic
1	Drinfeld, Vladimir Gershonovich
1	Ebrahimi-Fard, Kurusch
1	Ellwood, David Alexandre
1	Fernandes, Francesca
1	Fleischhack, Christian
1	Gakkhar, Sitanshu
1	Gheorghita, Iulia
1	Goncharov, Alexander Borisovich
1	Gubser, Steven S.
1	Guicardi, Pedro
1	Guth, Daniel J.
1	Harris, Michael Howard
1	Hertling, Claus
1	Jepsen, Christian Baadsgaard
1	Jin, Zhaorong
1	Kafkoulis, Yeorgia
1	Karidi, Taelin
1	Katz, Nicholas Michael
1	Kaufmann, Ralph M.
1	Kolodrubetz, Daniel
1	Liang, Crystal
1	Lieber, Joshua F.
1	Lima, Alicia
1	Liontou, Vasiliki
1	Lo, Catharine Wing Kwan
1	Lolli, Gabriele
1	Lorscheid, Oliver
1	Marcinek, Jake
1	McNamara, Jacob
1	Moscovici, Henri
1	Napp, John
1	Nest, Ryszard
1	Ni, Xiang
1	Panangaden, Jane
1	Paolucci, Anna Maria
1	Parashar, Deepak
1	Paycha, Sylvie
1	Penkov, Ivan B.
1	Penrose, Roger
1	Perez, Christopher
1	Popa, Sorin Teodor
...and 21 more Co-Authors

all top 5

Serials

14	Journal of Geometry and Physics
12	Mathematics in Computer Science
8	Advances in Theoretical and Mathematical Physics
7	\(p\)-Adic Numbers, Ultrametric Analysis, and Applications
5	Communications in Mathematical Physics
5	Selecta Mathematica. New Series
5	Journal of High Energy Physics
5	International Journal of Geometric Methods in Modern Physics
5	Aspects of Mathematics
4	Journal of Number Theory
3	Classical and Quantum Gravity
3	Letters in Mathematical Physics
3	Texts and Readings in Mathematics
3	Journal of Noncommutative Geometry
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	The Quarterly Journal of Mathematics
2	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2	Pure and Applied Mathematics Quarterly
2	Complex Analysis and Operator Theory
2	Journal of Physics A: Mathematical and Theoretical
2	Communications in Number Theory and Physics
1	Journal of Mathematical 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	Theoretical Computer Science
1	Acta Applicandae Mathematicae
1	Bulletin of the American Mathematical Society. New Series
1	Expositiones Mathematicae
1	Notices of the American Mathematical Society
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	Colloquium Publications. American Mathematical Society
1	Contemporary Mathematics
1	Progress in Mathematics
1	University Lecture Series
1	Clay Mathematics Proceedings
1	Journal of Singularities
1	Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
1	Research in Number Theory
1	Bollettino dell’Unione Matematica Italiana
1	London Mathematical Society. Newsletter
1	European Mathematical Society Magazine
1	Compositionality

all top 5

Fields

81	Algebraic geometry (14-XX)
77	Quantum theory (81-XX)
56	Global analysis, analysis on manifolds (58-XX)
45	Number theory (11-XX)
36	Functional analysis (46-XX)
31	Relativity and gravitational theory (83-XX)
24	Statistical mechanics, structure of matter (82-XX)
22	Manifolds and cell complexes (57-XX)
19	Category theory; homological algebra (18-XX)
18	Associative rings and algebras (16-XX)
18	Information and communication theory, circuits (94-XX)
14	General and overarching topics; collections (00-XX)
14	Differential geometry (53-XX)
13	\(K\)-theory (19-XX)
12	Dynamical systems and ergodic theory (37-XX)
11	Algebraic topology (55-XX)
11	Computer science (68-XX)
9	Combinatorics (05-XX)
7	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6	Commutative algebra (13-XX)
6	Partial differential equations (35-XX)
5	Astronomy and astrophysics (85-XX)
4	Group theory and generalizations (20-XX)
4	Functions of a complex variable (30-XX)
4	Several complex variables and analytic spaces (32-XX)
4	Convex and discrete geometry (52-XX)
4	General topology (54-XX)
4	Statistics (62-XX)
4	Biology and other natural sciences (92-XX)
3	History and biography (01-XX)
3	Nonassociative rings and algebras (17-XX)
3	Measure and integration (28-XX)
3	Ordinary differential equations (34-XX)
3	Harmonic analysis on Euclidean spaces (42-XX)
2	Mathematical logic and foundations (03-XX)
2	Topological groups, Lie groups (22-XX)
2	Special functions (33-XX)
2	Operator theory (47-XX)
2	Probability theory and stochastic processes (60-XX)
2	Numerical analysis (65-XX)
2	Mechanics of particles and systems (70-XX)
1	Field theory and polynomials (12-XX)
1	Optics, electromagnetic theory (78-XX)
1	Operations research, mathematical programming (90-XX)
1	Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

137 Publications have been cited 1,456 times in852 Documents	Cited by ▼	Year ▼
Gravity and the standard model with neutrino mixing. Zbl 1140.81022 Chamseddine, Ali H.;Connes, Alain;Marcolli, Matilde	154	2007
Noncommutative geometry, quantum fields and motives. Zbl 1209.58007 Connes, Alain;Marcolli, Matilde	145	2008
Noncommutative geometry, quantum fields and motives. Zbl 1159.58004 Connes, Alain;Marcolli, Matilde	84	2008
Feynman motives of banana graphs. Zbl 1171.81384 Aluffi, Paolo;Marcolli, Matilde	31	2009
Feynman motives. Zbl 1192.14001 Marcolli, Matilde	30	2010
Noncommutative geometry and motives: the thermodynamics of endomotives. Zbl 1125.14001 Connes, Alain;Consani, Caterina;Marcolli, Matilde	29	2007
Continued fractions, modular symbols, and noncommutative geometry. Zbl 1116.11033 Manin, Y. I.;Marcolli, M.	28	2002
KMS states and complex multiplication. Zbl 1106.58005 Connes, Alain;Marcolli, Matilde;Ramachandran, Niranjan	28	2005
Fun with \(\mathbb F_1\). Zbl 1228.11143 Connes, Alain;Consani, Caterina;Marcolli, Matilde	28	2009
Cuntz-Krieger algebras and wavelets on fractals. Zbl 1225.46042 Marcolli, Matilde;Paolucci, Anna Maria	27	2011
A walk in the noncommutative garden. Zbl 1145.14005 Connes, Alain;Marcolli, Matilde	27	2008
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	26	2018
From physics to number theory via noncommutative geometry. Zbl 1126.58006 Connes, Alain;Marcolli, Matilde	24	2006
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	21	2017
The spectral action and cosmic topology. Zbl 1216.83064 Marcolli, Matilde;Pierpaoli, Elena;Teh, Kevin	21	2011
Twisted index theory on good orbifolds. I: Noncommutative Bloch theory. Zbl 0959.58035 Marcolli, Matilde;Mathai, Varghese	20	1999
Holography principle and arithmetic of algebraic curves. Zbl 1042.14006 Manin, Yuri I.;Marcolli, Matilde	20	2001
Twisted index theory on good orbifolds. II: Fractional quantum numbers. Zbl 0982.58018 Marcolli, Matilde;Mathai, Varghese	19	2001
The Ricci flow on noncommutative two-tori. Zbl 1261.53063 Bhuyain, Tanvir Ahamed;Marcolli, Matilde	19	2012
Early universe models from noncommutative geometry. Zbl 1243.83005 Marcolli, Matilde;Pierpaoli, Elena	17	2011
From exceptional collections to motivic decompositions via noncommutative motives. Zbl 1349.14021 Marcolli, Matilde;Tabuada, Gonçalo	16	2015
Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory. Zbl 1200.81113 Connes, Alain;Marcolli, Matilde	16	2007
The Weil proof and the geometry of the adelès class space. Zbl 1208.11108 Connes, Alain;Consani, Caterina;Marcolli, Matilde	16	2009
Quantum statistical mechanics, \(L\)-series and anabelian geometry. I: Partition functions. Zbl 1329.82007 Cornelissen, Gunther;Marcolli, Matilde	16	2014
Equivariant Seiberg-Witten Floer homology. Zbl 1026.57025 Marcolli, Matilde;Wang, Bai-Ling	15	2001
Characterization of global fields by Dirichlet \(L\)-series. Zbl 1460.11137 Cornelissen, Gunther;de Smit, Bart;Li, Xin;Marcolli, Matilde;Smit, Harry	14	2019
Quantum fields and motives. Zbl 1092.81050 Connes, Alain;Marcolli, Matilde	14	2006
Noncommutative geometry, dynamics, and \(\infty\)-adic Arakelov geometry. Zbl 1112.14023 Consani, Caterina;Marcolli, Matilde	14	2004
Towards the fractional quantum Hall effect: a noncommutative geometry perspective. Zbl 1105.81068 Marcolli, Matilde;Mathai, Varghese	14	2006
Feynman motives and deletion-contraction relations. Zbl 1221.81076 Aluffi, Paolo;Marcolli, Matilde	14	2011
Algebro-geometric Feynman rules. Zbl 1225.81101 Aluffi, Paolo;Marcolli, Matilde	13	2011
Cyclotomy and endomotives. Zbl 1236.46067 Marcolli, Matilde	13	2009
Noncommutative cosmology. Zbl 1401.81005 Marcolli, Matilde	12	2018
KMS states and complex multiplication. II. Zbl 1123.58004 Connes, Alain;Marcolli, Matilde;Ramachandran, Niranjan	11	2006
Persistent topology of syntax. Zbl 1417.91428 Port, Alexander;Gheorghita, Iulia;Guth, Daniel;Clark, John M.;Liang, Crystal;Dasu, Shival;Marcolli, Matilde	11	2018
Spectral triples from Mumford curves. Zbl 1072.11045 Consani, Caterina;Marcolli, Matilde	10	2003
Twisted spectral triples and quantum statistical mechanical systems. Zbl 1315.58006 Greenfield, M.;Marcolli, M.;Teh, K.	10	2014
Graph reconstruction and quantum statistical mechanics. Zbl 1278.05154 Cornelissen, Gunther;Marcolli, Matilde	10	2013
Noncommutative geometry on trees and buildings. Zbl 1153.58002 Cornelissen, G.;Marcolli, M.;Reihani, K.;Vdovina, A.	10	2008
Noncommutative numerical motives, Tannakian structures, and motivic Galois groups. Zbl 1376.14004 Marcolli, Matilde;Tabuada, Gonçalo	10	2016
The coupling of topology and inflation in noncommutative cosmology. Zbl 1242.83130 Marcolli, Matilde;Pierpaoli, Elena;Teh, Kevin	10	2012
Renormalization and motivic Galois theory. Zbl 1131.81021 Connes, Alain;Marcolli, Matilde	9	2004
Big bang, blowup, and modular curves: algebraic geometry in cosmology. Zbl 1296.85004 Manin, Yuri I.;Marcolli, Matilde	9	2014
Noncommutative motives, numerical equivalence, and semi-simplicity. Zbl 1315.18020 Marcolli, Matilde;Tabuada, Gonçalo	9	2014
Error-correcting codes and phase transitions. Zbl 1278.94097 Manin, Yuri I.;Marcolli, Matilde	9	2011
Kontsevich’s noncommutative numerical motives. Zbl 1269.18004 Marcolli, Matilde;Tabuada, Gonçalo	9	2012
On the \(K\)-theory of graph \(C^{*}\)-algebras. Zbl 1144.19004 Cornelissen, Gunther;Lorscheid, Oliver;Marcolli, Matilde	9	2008
Quantum statistical mechanics over function fields. Zbl 1160.11043 Consani, Caterina;Marcolli, Matilde	9	2007
Gamma spaces and information. Zbl 1420.81007 Marcolli, Matilde	9	2019
Weak UCP and perturbed monopole equations. Zbl 1058.58014 Booss-Bavnbek, Bernhelm;Marcolli, Matilde;Wang, Bai-Ling	8	2002
Seiberg-Witten-Floer homology and Heegaard splittings. Zbl 0867.57028 Marcolli, M.	8	1996
Kolmogorov complexity and the asymptotic bound for error-correcting codes. Zbl 1318.94116 Manin, Yuri;Marcolli, Matilde	8	2014
Spin foams and noncommutative geometry. Zbl 1202.83043 Denicola, Domenic;Marcolli, Matilde;Al-Yasry, Ahmad Zainy	8	2010
Symbolic dynamics, modular curves, and Bianchi IX cosmologies. Zbl 1380.37071 Manin, Yuri;Marcolli, Matilde	8	2016
Nonarchimedean holographic entropy from networks of perfect tensors. Zbl 1489.83050 Heydeman, Matthew;Marcolli, Matilde;Parikh, Sarthak;Saberi, Ingmar	8	2021
Parametric Feynman integrals and determinant hypersurfaces. Zbl 1229.81099 Aluffi, Paolo;Marcolli, Matilde	7	2010
Semantic spaces. Zbl 1409.68302 Manin, Yuri I.;Marcolli, Matilde	7	2016
Some remarks concerning Voevodsky’s nilpotence conjecture. Zbl 1388.14017 Bernardara, Marcello;Marcolli, Matilde;Tabuada, Gonçalo	7	2018
Spectral action for Bianchi type-IX cosmological models. Zbl 1388.83911 Fan, Wentao;Fathizadeh, Farzad;Marcolli, Matilde	7	2015
Arithmetic noncommutative geometry. With a foreword by Yuri Manin. Zbl 1081.58005 Marcolli, Matilde	7	2005
Gauge networks in noncommutative geometry. Zbl 1315.81098 Marcolli, Matilde;Van Suijlekom, Walter D.	7	2014
Feynman integrals and motives of configuration spaces. Zbl 1256.81051 Ceyhan, Özgür;Marcolli, Matilde	7	2012
Thermodynamic semirings. Zbl 1332.94036 Marcolli, Matilde;Thorngren, Ryan	7	2014
Modular shadows and the Lévy-Mellin \(\infty\)-adic transform. Zbl 1228.11144 Manin, Yuri I.;Marcolli, Matilde	6	2008
Jacobians of noncommutative motives. Zbl 1310.14014 Marcolli, M.;Tabuada, G.	6	2014
Motivic renormalization and singularities. Zbl 1218.81081 Marcolli, Matilde	6	2010
Zeta functions that hear the shape of a Riemann surface. Zbl 1174.58004 Cornelissen, Gunther;Marcolli, Matilde	6	2008
Modular index invariants of Mumford curves. Zbl 1270.46065 Carey, Alan;Marcolli, Matilde;Rennie, Adam	6	2011
Feynman integrals and motives. Zbl 1192.81241 Marcolli, Matilde	6	2010
Noncommutative motives and their applications. Zbl 1359.14005 Marcolli, Matilde;Tabuada, Gonçalo	5	2015
Syntactic structures and code parameters. Zbl 1441.94116 Shu, Kevin;Marcolli, Matilde	5	2017
Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications. Zbl 1346.81047 Marcolli, Matilde;Ni, Xiang	5	2014
Algebraic renormalization and Feynman integrals in configuration spaces. Zbl 1309.81095 Ceyhan, Özgür;Marcolli, Matilde	5	2014
Noncommutative Artin motives. Zbl 1296.14002 Marcolli, Matilde;Tabuada, Gonçalo	5	2014
A motivic approach to phase transitions in Potts models. Zbl 1264.14006 Aluffi, Paolo;Marcolli, Matilde	5	2013
Coverings, correspondences, and noncommutative geometry. Zbl 1157.58001 Marcolli, Matilde;al-Yasry, Ahmad Zainy	5	2008
Coupling of gravity to matter, spectral action and cosmic topology. Zbl 1302.83036 Ćaćić, Branimir;Marcolli, Matilde;Teh, Kevin	5	2014
Reconstructing global fields from dynamics in the abelianized Galois group. Zbl 1431.11110 Cornelissen, Gunther;Li, Xin;Marcolli, Matilde;Smit, Harry	5	2019
Building cosmological models via noncommutative geometry. Zbl 1229.83057 Marcolli, Matilde	5	2011
Spectral action models of gravity on packed swiss cheese cosmology. Zbl 1342.83515 Ball, Adam;Marcolli, Matilde	5	2016
Dyson-Schwinger equations in the theory of computation. Zbl 1346.81086 Delaney, Colleen;Marcolli, Matilde	5	2015
Bost-Connes systems, categorification, quantum statistical mechanics, and Weil numbers. Zbl 1429.14003 Marcolli, Matilde;Tabuada, Gonçalo	4	2017
\(\mathbb Q\)-lattices: quantum statistical mechanics and Galois theory. Zbl 1139.58003 Connes, Alain;Marcolli, Matilde	4	2006
Seiberg-Witten and Casson-Walker invariants for rational homology 3-spheres. Zbl 0994.57027 Marcolli, Matilde;Wang, Bai-Ling	4	2002
Modular curves, \(C^*\)-algebras and chaotic cosmology. Zbl 1176.83162 Marcolli, Matilde	4	2007
Periods and motives in the spectral action of Robertson-Walker spacetimes. Zbl 1379.83026 Fathizadeh, Farzad;Marcolli, Matilde	4	2017
Graph hypersurfaces and a dichotomy in the Grothendieck ring. Zbl 1211.14013 Aluffi, Paolo;Marcolli, Matilde	4	2011
Noncommutative mixmaster cosmologies. Zbl 1261.83044 Estrada, Christopher;Marcolli, Matilde	4	2013
Quantum field theory over \(\mathbb F_1\). Zbl 1278.81130 Bejleri, Dori;Marcolli, Matilde	4	2013
Nori diagrams and persistent homology. Zbl 1464.18002 Manin, Yuri I.;Marcolli, Matilde	3	2020
Motives and periods in Bianchi IX gravity models. Zbl 1404.58014 Fan, Wentao;Fathizadeh, Farzad;Marcolli, Matilde	3	2018
Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect. Zbl 1388.81994 Marcolli, Matilde;Seipp, Kyle	3	2017
Limiting modular symbols and the Lyapunov spectrum. Zbl 1158.11316 Marcolli, Matilde	3	2003
\(\mathbb{F}_{\zeta}\)-geometry, Tate motives, and the Habiro ring. Zbl 1327.14115 Lo, Catharine Wing Kwan;Marcolli, Matilde	3	2015
Solvmanifolds and noncommutative tori with real multiplication. Zbl 1161.58005 Marcolli, Matilde	3	2008
Holographic codes on Bruhat-Tits buildings and Drinfeld symmetric spaces. Zbl 1451.14085 Marcolli, Matilde	3	2020
Graph grammars, insertion Lie algebras, and quantum field theory. Zbl 1333.68172 Marcolli, Matilde;Port, Alexander	3	2015
Entropy algebras and Birkhoff factorization. Zbl 1322.81017 Marcolli, Matilde;Tedeschi, Nicolas	3	2015
Geometry of information: classical and quantum aspects. Zbl 1481.14001 Combe, Noémie;Manin, Yuri I.;Marcolli, Matilde	3	2022
Phylogenetics of Indo-European language families via an algebro-geometric analysis of their syntactic structures. Zbl 1545.91253 Shu, Kevin;Ortegaray, Andrew;Berwick, Robert C.;Marcolli, Matilde	3	2021
Cohn-Elkies functions from Gabor frames. Zbl 1533.42037 Manin, Yuri I.;Marcolli, Matilde	1	2023
Geometry of information: classical and quantum aspects. Zbl 1481.14001 Combe, Noémie;Manin, Yuri I.;Marcolli, Matilde	3	2022
Topological analysis of syntactic structures. Zbl 07498613 Port, Alexander;Karidi, Taelin;Marcolli, Matilde	2	2022
Holographic tensor networks from hyperbolic buildings. Zbl 1534.83019 Gesteau, Elliott;Marcolli, Matilde;Parikh, Sarthak	2	2022
Bost-Connes systems and \(\mathbb{F}_1\)-structures in Grothendieck rings, spectra, and Nori motives. Zbl 1489.14005 Lieber, Joshua F.;Manin, Yuri I.;Marcolli, Matilde	1	2022
Nonarchimedean holographic entropy from networks of perfect tensors. Zbl 1489.83050 Heydeman, Matthew;Marcolli, Matilde;Parikh, Sarthak;Saberi, Ingmar	8	2021
Phylogenetics of Indo-European language families via an algebro-geometric analysis of their syntactic structures. Zbl 1545.91253 Shu, Kevin;Ortegaray, Andrew;Berwick, Robert C.;Marcolli, Matilde	3	2021
Heat kernel analysis of syntactic structures. Zbl 1545.91252 Ortegaray, Andrew;Berwick, Robert C.;Marcolli, Matilde	2	2021
Functor of points and height functions for noncommutative Arakelov geometry. Zbl 1479.14033 Lima, Alicia;Marcolli, Matilde	1	2021
Aspects of \(p\)-adic geometry related to entanglement entropy. Zbl 1468.81084 Marcolli, Matilde	1	2021
Nori diagrams and persistent homology. Zbl 1464.18002 Manin, Yuri I.;Marcolli, Matilde	3	2020
Holographic codes on Bruhat-Tits buildings and Drinfeld symmetric spaces. Zbl 1451.14085 Marcolli, Matilde	3	2020
Quantum statistical mechanics of the absolute Galois group. Zbl 1505.11095 Manin, Yuri I.;Marcolli, Matilde	2	2020
Bell polynomials and Brownian bridge in spectral gravity models on multifractal Robertson-Walker cosmologies. Zbl 1435.83210 Fathizadeh, Farzad;Kafkoulis, Yeorgia;Marcolli, Matilde	2	2020
Homotopy types and geometries below \(\mathrm{Spec}(\mathbb{Z})\). Zbl 1504.14007 Manin, Yuri I.;Marcolli, Matilde	1	2020
Characterization of global fields by Dirichlet \(L\)-series. Zbl 1460.11137 Cornelissen, Gunther;de Smit, Bart;Li, Xin;Marcolli, Matilde;Smit, Harry	14	2019
Gamma spaces and information. Zbl 1420.81007 Marcolli, Matilde	9	2019
Reconstructing global fields from dynamics in the abelianized Galois group. Zbl 1431.11110 Cornelissen, Gunther;Li, Xin;Marcolli, Matilde;Smit, Harry	5	2019
Modular forms in the spectral action of Bianchi IX gravitational instantons. Zbl 1409.83062 Fan, Wentao;Fathizadeh, Farzad;Marcolli, Matilde	2	2019
Motivic information. Zbl 1420.14013 Marcolli, Matilde	2	2019
Adinkras, dessins, origami, and supersymmetry spectral triples. Zbl 1445.17002 Marcolli, Matilde;Zolman, Nick	2	2019
Feynman quadrics-motive of the massive sunset graph. Zbl 1403.14017 Marcolli, Matilde;Tabuada, Gonçalo	1	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	26	2018
Noncommutative cosmology. Zbl 1401.81005 Marcolli, Matilde	12	2018
Persistent topology of syntax. Zbl 1417.91428 Port, Alexander;Gheorghita, Iulia;Guth, Daniel;Clark, John M.;Liang, Crystal;Dasu, Shival;Marcolli, Matilde	11	2018
Some remarks concerning Voevodsky’s nilpotence conjecture. Zbl 1388.14017 Bernardara, Marcello;Marcolli, Matilde;Tabuada, Gonçalo	7	2018
Motives and periods in Bianchi IX gravity models. Zbl 1404.58014 Fan, Wentao;Fathizadeh, Farzad;Marcolli, Matilde	3	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	21	2017
Syntactic structures and code parameters. Zbl 1441.94116 Shu, Kevin;Marcolli, Matilde	5	2017
Bost-Connes systems, categorification, quantum statistical mechanics, and Weil numbers. Zbl 1429.14003 Marcolli, Matilde;Tabuada, Gonçalo	4	2017
Periods and motives in the spectral action of Robertson-Walker spacetimes. Zbl 1379.83026 Fathizadeh, Farzad;Marcolli, Matilde	4	2017
Twisted index theory on orbifold symmetric products and the fractional quantum Hall effect. Zbl 1388.81994 Marcolli, Matilde;Seipp, Kyle	3	2017
\(q\)-deformations of statistical mechanical systems and motives over finite fields. Zbl 1386.82006 Marcolli, Matilde;Ren, Zhi	1	2017
Quantum statistical mechanics in arithmetic topology. Zbl 1360.82049 Marcolli, Matilde;Xu, Yujie	1	2017
Noncommutative numerical motives, Tannakian structures, and motivic Galois groups. Zbl 1376.14004 Marcolli, Matilde;Tabuada, Gonçalo	10	2016
Symbolic dynamics, modular curves, and Bianchi IX cosmologies. Zbl 1380.37071 Manin, Yuri;Marcolli, Matilde	8	2016
Semantic spaces. Zbl 1409.68302 Manin, Yuri I.;Marcolli, Matilde	7	2016
Spectral action models of gravity on packed swiss cheese cosmology. Zbl 1342.83515 Ball, Adam;Marcolli, Matilde	5	2016
Moduli operad over \(\mathbb F_1\). Zbl 1428.18035 Manin, Yuri I.;Marcolli, Matilde	2	2016
KMS weights on higher rank buildings. Zbl 1392.46059 Marcinek, J.;Marcolli, M.	1	2016
From exceptional collections to motivic decompositions via noncommutative motives. Zbl 1349.14021 Marcolli, Matilde;Tabuada, Gonçalo	16	2015
Spectral action for Bianchi type-IX cosmological models. Zbl 1388.83911 Fan, Wentao;Fathizadeh, Farzad;Marcolli, Matilde	7	2015
Noncommutative motives and their applications. Zbl 1359.14005 Marcolli, Matilde;Tabuada, Gonçalo	5	2015
Dyson-Schwinger equations in the theory of computation. Zbl 1346.81086 Delaney, Colleen;Marcolli, Matilde	5	2015
\(\mathbb{F}_{\zeta}\)-geometry, Tate motives, and the Habiro ring. Zbl 1327.14115 Lo, Catharine Wing Kwan;Marcolli, Matilde	3	2015
Graph grammars, insertion Lie algebras, and quantum field theory. Zbl 1333.68172 Marcolli, Matilde;Port, Alexander	3	2015
Entropy algebras and Birkhoff factorization. Zbl 1322.81017 Marcolli, Matilde;Tedeschi, Nicolas	3	2015
Unconditional noncommutative motivic Galois groups. Zbl 1360.14009 Marcolli, Matilde;Tabuada, Gonçalo	2	2015
Information algebras and their applications. Zbl 1396.81109 Marcolli, Matilde	1	2015
Quantum statistical mechanics, \(L\)-series and anabelian geometry. I: Partition functions. Zbl 1329.82007 Cornelissen, Gunther;Marcolli, Matilde	16	2014
Twisted spectral triples and quantum statistical mechanical systems. Zbl 1315.58006 Greenfield, M.;Marcolli, M.;Teh, K.	10	2014
Big bang, blowup, and modular curves: algebraic geometry in cosmology. Zbl 1296.85004 Manin, Yuri I.;Marcolli, Matilde	9	2014
Noncommutative motives, numerical equivalence, and semi-simplicity. Zbl 1315.18020 Marcolli, Matilde;Tabuada, Gonçalo	9	2014
Kolmogorov complexity and the asymptotic bound for error-correcting codes. Zbl 1318.94116 Manin, Yuri;Marcolli, Matilde	8	2014
Gauge networks in noncommutative geometry. Zbl 1315.81098 Marcolli, Matilde;Van Suijlekom, Walter D.	7	2014
Thermodynamic semirings. Zbl 1332.94036 Marcolli, Matilde;Thorngren, Ryan	7	2014
Jacobians of noncommutative motives. Zbl 1310.14014 Marcolli, M.;Tabuada, G.	6	2014
Rota-Baxter algebras, singular hypersurfaces, and renormalization on Kausz compactifications. Zbl 1346.81047 Marcolli, Matilde;Ni, Xiang	5	2014
Algebraic renormalization and Feynman integrals in configuration spaces. Zbl 1309.81095 Ceyhan, Özgür;Marcolli, Matilde	5	2014
Noncommutative Artin motives. Zbl 1296.14002 Marcolli, Matilde;Tabuada, Gonçalo	5	2014
Coupling of gravity to matter, spectral action and cosmic topology. Zbl 1302.83036 Ćaćić, Branimir;Marcolli, Matilde;Teh, Kevin	5	2014
Multifractals, Mumford curves and eternal inflation. Zbl 1336.60192 Marcolli, M.;Tedeschi, N.	2	2014
Endomotives of toric varieties. Zbl 1315.14010 Jin, Zhaorong;Marcolli, Matilde	1	2014
Graph reconstruction and quantum statistical mechanics. Zbl 1278.05154 Cornelissen, Gunther;Marcolli, Matilde	10	2013
A motivic approach to phase transitions in Potts models. Zbl 1264.14006 Aluffi, Paolo;Marcolli, Matilde	5	2013
Noncommutative mixmaster cosmologies. Zbl 1261.83044 Estrada, Christopher;Marcolli, Matilde	4	2013
Quantum field theory over \(\mathbb F_1\). Zbl 1278.81130 Bejleri, Dori;Marcolli, Matilde	4	2013
Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models. Zbl 1273.83119 Estrada, Christopher;Marcolli, Matilde	2	2013
Arithmetic of Potts model hypersurfaces. Zbl 1266.82017 Marcolli, Matilde;Su, Jessica	1	2013
The Ricci flow on noncommutative two-tori. Zbl 1261.53063 Bhuyain, Tanvir Ahamed;Marcolli, Matilde	19	2012
The coupling of topology and inflation in noncommutative cosmology. Zbl 1242.83130 Marcolli, Matilde;Pierpaoli, Elena;Teh, Kevin	10	2012
Kontsevich’s noncommutative numerical motives. Zbl 1269.18004 Marcolli, Matilde;Tabuada, Gonçalo	9	2012
Feynman integrals and motives of configuration spaces. Zbl 1256.81051 Ceyhan, Özgür;Marcolli, Matilde	7	2012
Cuntz-Krieger algebras and wavelets on fractals. Zbl 1225.46042 Marcolli, Matilde;Paolucci, Anna Maria	27	2011
The spectral action and cosmic topology. Zbl 1216.83064 Marcolli, Matilde;Pierpaoli, Elena;Teh, Kevin	21	2011
Early universe models from noncommutative geometry. Zbl 1243.83005 Marcolli, Matilde;Pierpaoli, Elena	17	2011
Feynman motives and deletion-contraction relations. Zbl 1221.81076 Aluffi, Paolo;Marcolli, Matilde	14	2011
Algebro-geometric Feynman rules. Zbl 1225.81101 Aluffi, Paolo;Marcolli, Matilde	13	2011
Error-correcting codes and phase transitions. Zbl 1278.94097 Manin, Yuri I.;Marcolli, Matilde	9	2011
Modular index invariants of Mumford curves. Zbl 1270.46065 Carey, Alan;Marcolli, Matilde;Rennie, Adam	6	2011
Building cosmological models via noncommutative geometry. Zbl 1229.83057 Marcolli, Matilde	5	2011
Graph hypersurfaces and a dichotomy in the Grothendieck ring. Zbl 1211.14013 Aluffi, Paolo;Marcolli, Matilde	4	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	2	2011
Motives: an introductory survey for physicists. With an appendix by Matilde Marcolli. Zbl 1221.81127 Rej, Abhijnan	1	2011
Seiberg-Witten gauge theory. Reprint of the 1999 hardback edition. Zbl 1230.53003 Marcolli, Matilde	1	2011
Feynman motives. Zbl 1192.14001 Marcolli, Matilde	30	2010
Spin foams and noncommutative geometry. Zbl 1202.83043 Denicola, Domenic;Marcolli, Matilde;Al-Yasry, Ahmad Zainy	8	2010
Parametric Feynman integrals and determinant hypersurfaces. Zbl 1229.81099 Aluffi, Paolo;Marcolli, Matilde	7	2010
Motivic renormalization and singularities. Zbl 1218.81081 Marcolli, Matilde	6	2010
Feynman integrals and motives. Zbl 1192.81241 Marcolli, Matilde	6	2010
Open string theory and planar algebras. Zbl 1198.81153 Ceyhan, Özgür;Marcolli, Matilde	1	2010
Arithmetic and geometry around quantization. Zbl 1190.00026	1	2010
Feynman motives of banana graphs. Zbl 1171.81384 Aluffi, Paolo;Marcolli, Matilde	31	2009
Fun with \(\mathbb F_1\). Zbl 1228.11143 Connes, Alain;Consani, Caterina;Marcolli, Matilde	28	2009
The Weil proof and the geometry of the adelès class space. Zbl 1208.11108 Connes, Alain;Consani, Caterina;Marcolli, Matilde	16	2009
Cyclotomy and endomotives. Zbl 1236.46067 Marcolli, Matilde	13	2009
Noncommutative geometry, quantum fields and motives. Zbl 1209.58007 Connes, Alain;Marcolli, Matilde	145	2008
Noncommutative geometry, quantum fields and motives. Zbl 1159.58004 Connes, Alain;Marcolli, Matilde	84	2008
A walk in the noncommutative garden. Zbl 1145.14005 Connes, Alain;Marcolli, Matilde	27	2008
Noncommutative geometry on trees and buildings. Zbl 1153.58002 Cornelissen, G.;Marcolli, M.;Reihani, K.;Vdovina, A.	10	2008
...and 37 more Documents

all cited Publications top 5 cited Publications

all top 5

Cited by 892 Authors

82	Marcolli, Matilde
29	Connes, Alain
25	van Suijlekom, Walter Daniël
22	Tabuada, Gonçalo
18	Manin, Yuriĭ Ivanovich
17	Martinetti, Pierre
16	Sitarz, Andrzej
14	Consani, Caterina
14	Cornelissen, Gunther
13	Shojaei-Fard, Ali
12	Chamseddine, Ali Hani
12	Lizzi, Fedele
12	Wallet, Jean-Christophe
11	Dabrowski, Ludwik
11	Fathizadeh, Farzad
11	Jørgensen, Palle E. T.
11	Khalkhali, Masoud
11	Laca, Marcelo
10	D’Andrea, Francesco
10	Majid, Shahn
10	Parikh, Sarthak
9	Kozyrev, Sergeĭ Vladimirovich
8	Farnsworth, Shane
8	Farsi, Carla
8	Gillaspy, Elizabeth
8	Iochum, Bruno
8	Jepsen, Christian Baadsgaard
8	Kang, Sooran
8	Mathai, Varghese
8	Neshveyev, Sergey V.
8	Packer, Judith A.
8	Ponge, Raphaël S.
8	Zúñiga-Galindo, Wilson A.
7	Aluffi, Paolo
7	Devastato, Agostino
7	Masson, Thierry
6	Besnard, Fabien
6	Guo, Li
6	Karpenkov, Oleg Nikolaevich
6	Larsen, Nadia S.
6	Levy, Cyril
6	Pérez Sánchez, Carlos Ignacio
6	Stephan, Christoph A.
6	Teh, Kevin
6	Yeats, Karen A.
5	Aastrup, Johannes
5	Bochniak, Arkadiusz
5	Ćaćić, Branimir
5	Ebrahimi-Fard, Kurusch
5	García-Compeán, Hugo
5	Grimstrup, Jesper Møller
5	Gubser, Steven S.
5	Li, Xin
5	Nest, Ryszard
5	Vassilevich, Dmitri V.
5	Wulkenhaar, Raimar
4	Bernardara, Marcello
4	Boyle, Latham Jun
4	Bruce, Chris
4	Carey, Alan L.
4	Combe, Noemie C.
4	Conti, Roberto
4	Correia Ramos, Carlos
4	de Goursac, Axel Marcillaud
4	Dutkay, Dorin Ervin
4	Eckstein, Michał
4	Franco, Nicolas
4	Ghorbanpour, Asghar
4	Jurić, Tajron
4	Kakariadis, Evgenios T. A.
4	Kaufmann, Ralph M.
4	Kurkov, Maxim A.
4	Li, Xianjin
4	Mahanta, Snigdhayan
4	Martins, Nuno
4	Mastrolia, Pierpaolo
4	Mizera, Sebastian
4	Pinto, Paulo R. F.
4	Raeburn, Iain
4	Ramagge, Jacqui
4	Rennie, Adam
4	Saueressig, Frank
4	Sukochev, Fedor Anatol’evich
4	Takeishi, Takuya
4	Thiang, Guo Chuan
4	Trundy, Brian
4	van den Dungen, Koenraad Lambertus
4	Zalecki, Paweł
3	Agarwala, Susama
3	Argota-Quiroz, J. N.
3	Bocardo-Gaspar, Miriam
3	Brownlowe, Nathan
3	Dubois-Violette, Michel
3	Fan, Wentao
3	Fidaleo, Francesco
3	Filaci, Manuele
3	Gasparotto, Federico
3	Guido, Daniele
3	Guin, Satyajit
3	Hung, Ling-Yan
...and 792 more Authors

all top 5

Cited in 182 Serials

67	Journal of High Energy Physics
51	Journal of Noncommutative Geometry
50	Journal of Geometry and Physics
41	Communications in Mathematical Physics
36	Journal of Mathematical Physics
35	Letters in Mathematical Physics
25	Advances in Mathematics
19	Journal of Functional Analysis
18	Journal of Number Theory
18	\(p\)-Adic Numbers, Ultrametric Analysis, and Applications
17	International Journal of Geometric Methods in Modern Physics
15	Journal of Physics A: Mathematical and Theoretical
11	International Journal of Modern Physics A
11	Reviews in Mathematical Physics
11	Annales Henri Poincaré
11	Mathematics in Computer Science
10	Nuclear Physics. B
10	SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
10	Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
9	Journal of Mathematical Analysis and Applications
8	Classical and Quantum Gravity
8	Proceedings of the American Mathematical Society
8	Selecta Mathematica. New Series
8	Mathematical Physics, Analysis and Geometry
7	Mathematische Zeitschrift
7	Transactions of the American Mathematical Society
6	Physics Letters. B
6	Journal of Algebra
6	Journal of Pure and Applied Algebra
6	Comptes Rendus. Mathématique. Académie des Sciences, Paris
5	Memoirs of the American Mathematical Society
4	International Journal of Theoretical Physics
4	Annales de l’Institut Fourier
4	Bulletin of the London Mathematical Society
4	Journal für die Reine und Angewandte Mathematik
4	Journal de Théorie des Nombres de Bordeaux
4	Geometry & Topology
4	New Journal of Physics
4	Journal of the European Mathematical Society (JEMS)
4	Oberwolfach Reports
3	Modern Physics Letters A
3	General Relativity and Gravitation
3	Rocky Mountain Journal of Mathematics
3	Fortschritte der Physik
3	Duke Mathematical Journal
3	Mathematische Nachrichten
3	Bulletin of the American Mathematical Society. New Series
3	Lobachevskii Journal of Mathematics
3	Journal of the Australian Mathematical Society
3	The European Physical Journal C. Particles and Fields
3	Japanese Journal of Mathematics. 3rd Series
3	Annals of Functional Analysis
3	Research in Number Theory
3	SciPost Physics
2	Mathematical Notes
2	Mathematical Proceedings of the Cambridge Philosophical Society
2	Physics Reports
2	Reports on Mathematical Physics
2	Theoretical and Mathematical Physics
2	Compositio Mathematica
2	Inventiones Mathematicae
2	Journal of the London Mathematical Society. Second Series
2	Manuscripta Mathematica
2	Mathematische Annalen
2	Proceedings of the London Mathematical Society. Third Series
2	Ergodic Theory and Dynamical Systems
2	Acta Applicandae Mathematicae
2	Journal of the American Mathematical Society
2	Forum Mathematicum
2	International Journal of Mathematics
2	The Journal of Geometric Analysis
2	Annals of Physics
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	Russian Journal of Mathematical Physics
2	Journal of Mathematical Sciences (New York)
2	Annales Mathématiques Blaise Pascal
2	Izvestiya: Mathematics
2	The Journal of Fourier Analysis and Applications
2	Documenta Mathematica
2	Communications in Contemporary Mathematics
2	Algebraic & Geometric Topology
2	Journal of Applied Mathematics and Computing
2	Journal of Algebra and its Applications
2	Journal of Cosmology and Astroparticle Physics
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	Analysis and Mathematical Physics
2	Communications in Mathematics
2	Journal of Fractal Geometry
2	Research in the Mathematical Sciences
2	Open Mathematics
1	Communications in Algebra
1	Discrete Mathematics
...and 82 more Serials

all top 5

Cited in 57 Fields

350	Quantum theory (81-XX)
222	Functional analysis (46-XX)
218	Global analysis, analysis on manifolds (58-XX)
161	Algebraic geometry (14-XX)
132	Number theory (11-XX)
121	Relativity and gravitational theory (83-XX)
89	Differential geometry (53-XX)
62	Associative rings and algebras (16-XX)
51	Manifolds and cell complexes (57-XX)
46	Combinatorics (05-XX)
43	Category theory; homological algebra (18-XX)
42	\(K\)-theory (19-XX)
40	Statistical mechanics, structure of matter (82-XX)
38	Nonassociative rings and algebras (17-XX)
36	Operator theory (47-XX)
34	Topological groups, Lie groups (22-XX)
34	Partial differential equations (35-XX)
34	Dynamical systems and ergodic theory (37-XX)
33	Algebraic topology (55-XX)
32	Group theory and generalizations (20-XX)
21	Several complex variables and analytic spaces (32-XX)
19	Mechanics of particles and systems (70-XX)
18	Ordinary differential equations (34-XX)
18	Probability theory and stochastic processes (60-XX)
15	Functions of a complex variable (30-XX)
15	Harmonic analysis on Euclidean spaces (42-XX)
14	Commutative algebra (13-XX)
14	Measure and integration (28-XX)
14	Abstract harmonic analysis (43-XX)
13	Special functions (33-XX)
13	Computer science (68-XX)
13	Biology and other natural sciences (92-XX)
13	Information and communication theory, circuits (94-XX)
12	General and overarching topics; collections (00-XX)
11	Field theory and polynomials (12-XX)
11	Linear and multilinear algebra; matrix theory (15-XX)
10	Mathematical logic and foundations (03-XX)
10	Geometry (51-XX)
10	Statistics (62-XX)
9	Convex and discrete geometry (52-XX)
8	General topology (54-XX)
7	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6	Astronomy and astrophysics (85-XX)
5	Real functions (26-XX)
5	Numerical analysis (65-XX)
4	History and biography (01-XX)
4	Order, lattices, ordered algebraic structures (06-XX)
3	Classical thermodynamics, heat transfer (80-XX)
2	Difference and functional equations (39-XX)
2	Sequences, series, summability (40-XX)
2	Approximations and expansions (41-XX)
2	Systems theory; control (93-XX)
1	Integral transforms, operational calculus (44-XX)
1	Integral equations (45-XX)
1	Mechanics of deformable solids (74-XX)
1	Fluid mechanics (76-XX)
1	Operations research, mathematical programming (90-XX)

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Cited by 892 Authors

Cited in 182 Serials

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