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Author ID: borot.gaetan Recent zbMATH articles by "Borot, Gaëtan"
Published as: Borot, Gaëtan; Borot, G.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 572 times in 340 Documents Cited by Year
Asymptotic expansion of \(\beta \) matrix models in the one-cut regime. Zbl 1344.60012
Borot, G.; Guionnet, A.
130
2013
A matrix model for simple Hurwitz numbers, and topological recursion. Zbl 1225.14043
Borot, Gaëtan; Eynard, Bertrand; Mulase, Motohico; Safnuk, Brad
55
2011
Abstract loop equations, topological recursion and new applications. Zbl 1329.14074
Borot, Gaëtan; Eynard, Bertrand; Orantin, Nicolas
42
2015
All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials. Zbl 1335.57019
Borot, Gaëtan; Eynard, Bertrand
39
2015
A recursive approach to the \(O(n)\) model on random maps via nested loops. Zbl 1235.82026
Borot, G.; Bouttier, J.; Guitter, E.
32
2012
Blobbed topological recursion: properties and applications. Zbl 1396.14031
Borot, Gaëtan; Shadrin, Sergey
30
2017
Large deviations of the maximal eigenvalue of random matrices. Zbl 1456.60015
Borot, G.; Eynard, B.; Majumdar, S. N.; Nadal, C.
26
2011
Large-\(N\) asymptotic expansion for mean field models with Coulomb gas interaction. Zbl 1332.82069
Borot, Gaëtan; Guionnet, Alice; Kozlowski, Karol K.
26
2015
Geometry of spectral curves and all order dispersive integrable system. Zbl 1270.14017
Borot, Gaëtan; Eynard, Bertrand
22
2012
Rational differential systems, loop equations, and application to the \(q\)th reductions of KP. Zbl 1343.37061
Bergère, Michel; Borot, Gaëtan; Eynard, Bertrand
17
2015
Loop models on random maps via nested loops: the case of domain symmetry breaking and application to the Potts model. Zbl 1257.82016
Borot, G.; Bouttier, J.; Guitter, E.
17
2012
Formal multidimensional integrals, stuffed maps, and topological recursion. Zbl 1297.05013
Borot, Gaëtan
15
2014
Purity distribution for generalized random Bures mixed states. Zbl 1239.81022
Borot, Gaëtan; Nadal, Céline
14
2012
More on the \(\mathrm{O}(n)\) model on random maps via nested loops: loops with bending energy. Zbl 1246.82041
Borot, G.; Bouttier, J.; Guitter, E.
14
2012
Right tail asymptotic expansion of Tracy-Widom beta laws. Zbl 1266.60047
Borot, Gaëtan; Nadal, Céline
14
2012
Modular functors, cohomological field theories, and topological recursion. Zbl 1448.81439
Andersen, Jørgen Ellegaard; Borot, Gaëtan; Orantin, Nicolas
12
2018
Blobbed topological recursion. Zbl 1338.81273
Borot, G.
10
2015
Enumeration of maps with self-avoiding loops and the \(\mathcal{O}(\mathfrak{n})\) model on random lattices of all topologies. Zbl 1456.82430
Borot, G.; Eynard, B.
9
2011
Simple maps, Hurwitz numbers, and topological recursion. Zbl 1457.37055
Borot, Gaëtan; Garcia-Failde, Elba
9
2020
Relating ordinary and fully simple maps via monotone Hurwitz numbers. Zbl 1430.05004
Borot, Gaëtan; Charbonnier, Séverin; Do, Norman; Garcia-Failde, Elba
7
2019
Asymptotic expansion of a partition function related to the sinh-model. Zbl 1433.81003
Borot, Gaëtan; Guionnet, Alice; Kozlowski, Karol K.
6
2016
Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems. Zbl 1401.81070
Borot, Gaëtan; Brini, Andrea
6
2018
Topological recursion and geometry. Zbl 1471.32014
Borot, Gaëtan
5
2020
Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces. Zbl 1367.14014
Borot, Gaëtan; Eynard, Bertrand; Weisse, Alexander
5
2017
Special cases of the orbifold version of Zvonkine’s \(r\)-ELSV formula. Zbl 1483.14092
Borot, Gaëtan; Kramer, Reinier; Lewanski, Danilo; Popolitov, Alexandr; Shadrin, Sergey
5
2021
Loop equations for Gromov-Witten invariant of \(\mathbb{P}^1\). Zbl 1498.14138
Borot, Gaëtan; Norbury, Paul
2
2019
Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials. With an appendix by Gaëtan Borot, Alessandro Giacchetto and Danilo Lewanski. Zbl 1521.14057
Chen, Dawei; Möller, Martin; Sauvaget, Adrien
2
2023
Topological recursion for Masur-Veech volumes. Zbl 07730992
Andersen, Jørgen Ellegaard; Borot, Gaëtan; Charbonnier, Séverin; Delecroix, Vincent; Giacchetto, Alessandro; Lewański, Danilo; Wheeler, Campbell
2
2023
Double Hurwitz numbers: polynomiality, topological recursion and intersection theory. Zbl 07735151
Borot, Gaëtan; Do, Norman; Karev, Maksim; Lewański, Danilo; Moskovsky, Ellena
1
2023
Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials. With an appendix by Gaëtan Borot, Alessandro Giacchetto and Danilo Lewanski. Zbl 1521.14057
Chen, Dawei; Möller, Martin; Sauvaget, Adrien
2
2023
Topological recursion for Masur-Veech volumes. Zbl 07730992
Andersen, Jørgen Ellegaard; Borot, Gaëtan; Charbonnier, Séverin; Delecroix, Vincent; Giacchetto, Alessandro; Lewański, Danilo; Wheeler, Campbell
2
2023
Double Hurwitz numbers: polynomiality, topological recursion and intersection theory. Zbl 07735151
Borot, Gaëtan; Do, Norman; Karev, Maksim; Lewański, Danilo; Moskovsky, Ellena
1
2023
Special cases of the orbifold version of Zvonkine’s \(r\)-ELSV formula. Zbl 1483.14092
Borot, Gaëtan; Kramer, Reinier; Lewanski, Danilo; Popolitov, Alexandr; Shadrin, Sergey
5
2021
Simple maps, Hurwitz numbers, and topological recursion. Zbl 1457.37055
Borot, Gaëtan; Garcia-Failde, Elba
9
2020
Topological recursion and geometry. Zbl 1471.32014
Borot, Gaëtan
5
2020
Relating ordinary and fully simple maps via monotone Hurwitz numbers. Zbl 1430.05004
Borot, Gaëtan; Charbonnier, Séverin; Do, Norman; Garcia-Failde, Elba
7
2019
Loop equations for Gromov-Witten invariant of \(\mathbb{P}^1\). Zbl 1498.14138
Borot, Gaëtan; Norbury, Paul
2
2019
Modular functors, cohomological field theories, and topological recursion. Zbl 1448.81439
Andersen, Jørgen Ellegaard; Borot, Gaëtan; Orantin, Nicolas
12
2018
Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems. Zbl 1401.81070
Borot, Gaëtan; Brini, Andrea
6
2018
Blobbed topological recursion: properties and applications. Zbl 1396.14031
Borot, Gaëtan; Shadrin, Sergey
30
2017
Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces. Zbl 1367.14014
Borot, Gaëtan; Eynard, Bertrand; Weisse, Alexander
5
2017
Asymptotic expansion of a partition function related to the sinh-model. Zbl 1433.81003
Borot, Gaëtan; Guionnet, Alice; Kozlowski, Karol K.
6
2016
Abstract loop equations, topological recursion and new applications. Zbl 1329.14074
Borot, Gaëtan; Eynard, Bertrand; Orantin, Nicolas
42
2015
All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials. Zbl 1335.57019
Borot, Gaëtan; Eynard, Bertrand
39
2015
Large-\(N\) asymptotic expansion for mean field models with Coulomb gas interaction. Zbl 1332.82069
Borot, Gaëtan; Guionnet, Alice; Kozlowski, Karol K.
26
2015
Rational differential systems, loop equations, and application to the \(q\)th reductions of KP. Zbl 1343.37061
Bergère, Michel; Borot, Gaëtan; Eynard, Bertrand
17
2015
Blobbed topological recursion. Zbl 1338.81273
Borot, G.
10
2015
Formal multidimensional integrals, stuffed maps, and topological recursion. Zbl 1297.05013
Borot, Gaëtan
15
2014
Asymptotic expansion of \(\beta \) matrix models in the one-cut regime. Zbl 1344.60012
Borot, G.; Guionnet, A.
130
2013
A recursive approach to the \(O(n)\) model on random maps via nested loops. Zbl 1235.82026
Borot, G.; Bouttier, J.; Guitter, E.
32
2012
Geometry of spectral curves and all order dispersive integrable system. Zbl 1270.14017
Borot, Gaëtan; Eynard, Bertrand
22
2012
Loop models on random maps via nested loops: the case of domain symmetry breaking and application to the Potts model. Zbl 1257.82016
Borot, G.; Bouttier, J.; Guitter, E.
17
2012
Purity distribution for generalized random Bures mixed states. Zbl 1239.81022
Borot, Gaëtan; Nadal, Céline
14
2012
More on the \(\mathrm{O}(n)\) model on random maps via nested loops: loops with bending energy. Zbl 1246.82041
Borot, G.; Bouttier, J.; Guitter, E.
14
2012
Right tail asymptotic expansion of Tracy-Widom beta laws. Zbl 1266.60047
Borot, Gaëtan; Nadal, Céline
14
2012
A matrix model for simple Hurwitz numbers, and topological recursion. Zbl 1225.14043
Borot, Gaëtan; Eynard, Bertrand; Mulase, Motohico; Safnuk, Brad
55
2011
Large deviations of the maximal eigenvalue of random matrices. Zbl 1456.60015
Borot, G.; Eynard, B.; Majumdar, S. N.; Nadal, C.
26
2011
Enumeration of maps with self-avoiding loops and the \(\mathcal{O}(\mathfrak{n})\) model on random lattices of all topologies. Zbl 1456.82430
Borot, G.; Eynard, B.
9
2011
all top 5

Cited by 394 Authors

20 Borot, Gaëtan
17 Eynard, Bertrand
13 Forrester, Peter J.
11 Marchal, Olivier
11 Shadrin, Sergey V.
9 Guionnet, Alice
9 Harnad, John
9 Lewanski, Danilo
8 Do, Norman
8 Orantin, Nicolas
8 Popolitov, Aleksandr
8 Sułkowski, Piotr
7 Bouchard, Vincent
7 Curien, Nicolas
7 Dunin-Barkovskiĭ, Petr Igorevich
7 Lambert, Gaultier
7 Norbury, Paul T.
7 Rouault, Alain
6 Hock, Alexander
6 Majumdar, Satya N.
6 Mezzadri, Francesco
6 Osuga, Kento
6 Schehr, Grégory
6 Serfaty, Sylvia
6 Wei, Lu
6 Wulkenhaar, Raimar
5 Alexandrov, Alexander Sergeevich
5 Bertola, Marco
5 Budd, Timothy G.
5 Cunden, Fabio Deelan
5 Hadasz, Leszek
5 Iwaki, Kohei
5 Mironov, Andrei D.
5 Mulase, Motohico
5 Witte, Nicholas S.
4 Bekerman, Florent
4 Bousquet-Mélou, Mireille
4 Branahl, Johannes
4 Brini, Andrea
4 Chekhov, Leonid O.
4 Ciosmak, Paweł
4 Dartois, Stéphane
4 Grava, Tamara
4 Khalkhali, Masoud
4 Kramer, Reinier
4 Miller, Jason P.
4 Pagliaroli, Nathan
4 Pérez Sánchez, Carlos Ignacio
4 Richier, Loïc
3 Ambjørn, Jan
3 Andersen, Jørgen Ellegaard
3 Chapuy, Guillaume
3 Charlier, Christophe
3 Erdős, László
3 Figalli, Alessio
3 Gamboa, Fabrice
3 Garcia-Failde, Elba
3 Gukov, Sergei
3 Gwynne, Ewain
3 Huang, Youyi
3 Kazaryan, Maxim Eduardovich
3 Kortchemski, Igor
3 Le Doussal, Pierre
3 Leblé, Thomas
3 Manabe, Masahide
3 Mariño, Marcos
3 Morozov, Al’bert Dmitrievich
3 Nagel, Jan
3 Ruba, Błażej
3 Ruzza, Giulio
3 Schröder, Dominik
3 Shcherbina, Mariya
3 Sheffield, Scott
3 Vivo, Pierpaolo
2 Belliard, Raphael
2 Berestycki, Nathanaël
2 Bergère, Michel
2 Bernardi, Olivier
2 Bleher, Pavel M.
2 Bonzom, Valentin
2 Bourgade, Paul
2 Bychkov, Boris Sergeevich
2 Charbonnier, Séverin
2 Cipolloni, Giorgio
2 Dahlqvist, Antoine
2 Deaño, Alfredo
2 Dimitrov, Evgeni I.
2 Dimofte, Tudor Dan
2 Dubrovin, Boris Anatol’evich
2 Dumitrescu, Olivia M.
2 Duplantier, Bertrand
2 Fang, Bohan
2 Fırat, Atakan Hilmi
2 Garoufalidis, Stavros
2 Gharakhloo, Roozbeh
2 Ghosal, Promit
2 Giacchetto, Alessandro
2 Gisonni, Massimo
2 Grabsch, Aurélien
2 Grosse, Harald
...and 294 more Authors
all top 5

Cited in 76 Serials

32 Communications in Mathematical Physics
32 Journal of High Energy Physics
20 Journal of Physics A: Mathematical and Theoretical
17 Journal of Statistical Physics
14 Letters in Mathematical Physics
13 Journal of Mathematical Physics
13 Annales Henri Poincaré
12 Probability Theory and Related Fields
12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
11 Random Matrices: Theory and Applications
9 Advances in Mathematics
7 Nuclear Physics. B
6 The Annals of Probability
6 Selecta Mathematica. New Series
6 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
5 Journal of Geometry and Physics
5 Electronic Journal of Probability
4 Journal of Combinatorial Theory. Series A
4 Journal of Functional Analysis
4 Transactions of the American Mathematical Society
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 The Electronic Journal of Combinatorics
4 Journal of Statistical Mechanics: Theory and Experiment
4 Journal de l’École Polytechnique – Mathématiques
3 Communications on Pure and Applied Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Inventiones Mathematicae
3 Journal of Approximation Theory
3 Journal of the London Mathematical Society. Second Series
3 The Annals of Applied Probability
2 Theoretical and Mathematical Physics
2 Reviews in Mathematical Physics
2 Canadian Journal of Mathematics
2 Duke Mathematical Journal
2 Mathematische Annalen
2 Michigan Mathematical Journal
2 International Journal of Mathematics
2 Geometry & Topology
2 Quantum Information Processing
2 Oberwolfach Reports
2 Probability Surveys
2 Science China. Mathematics
2 Forum of Mathematics, Sigma
1 Israel Journal of Mathematics
1 Nonlinearity
1 Physics Letters. A
1 Physics Letters. B
1 Physics Reports
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Bulletin de la Société Mathématique de France
1 Dissertationes Mathematicae
1 Publications Mathématiques
1 Journal of Algebra
1 Mathematische Nachrichten
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 European Journal of Combinatorics
1 Chinese Annals of Mathematics. Series B
1 Revista Matemática Iberoamericana
1 Journal of Theoretical Probability
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Combinatorics
1 Bernoulli
1 Mathematical Physics, Analysis and Geometry
1 Taiwanese Journal of Mathematics
1 New Journal of Physics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 Journal of Noncommutative Geometry
1 Japanese Journal of Mathematics. 3rd Series
1 Quantum Topology
1 Bollettino dell’Unione Matematica Italiana
1 Probability and Mathematical Physics
all top 5

Cited in 48 Fields

135 Probability theory and stochastic processes (60-XX)
132 Quantum theory (81-XX)
89 Algebraic geometry (14-XX)
87 Linear and multilinear algebra; matrix theory (15-XX)
75 Combinatorics (05-XX)
63 Statistical mechanics, structure of matter (82-XX)
33 Dynamical systems and ergodic theory (37-XX)
31 Special functions (33-XX)
30 Differential geometry (53-XX)
21 Manifolds and cell complexes (57-XX)
21 Relativity and gravitational theory (83-XX)
18 Ordinary differential equations (34-XX)
18 Partial differential equations (35-XX)
16 Functions of a complex variable (30-XX)
16 Global analysis, analysis on manifolds (58-XX)
14 Several complex variables and analytic spaces (32-XX)
13 Statistics (62-XX)
10 Number theory (11-XX)
10 Nonassociative rings and algebras (17-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Functional analysis (46-XX)
8 Operator theory (47-XX)
6 Mathematical logic and foundations (03-XX)
5 Group theory and generalizations (20-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 Approximations and expansions (41-XX)
4 Geometry (51-XX)
4 Algebraic topology (55-XX)
4 Information and communication theory, circuits (94-XX)
3 Associative rings and algebras (16-XX)
3 Numerical analysis (65-XX)
3 Mechanics of particles and systems (70-XX)
2 General and overarching topics; collections (00-XX)
2 Category theory; homological algebra (18-XX)
2 Topological groups, Lie groups (22-XX)
2 Integral equations (45-XX)
2 Computer science (68-XX)
2 Fluid mechanics (76-XX)
1 Field theory and polynomials (12-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Systems theory; control (93-XX)

Citations by Year