Edit Profile (opens in new tab) Borot, Gaëtan Co-Author Distance Author ID: borot.gaetan Published as: Borot, Gaëtan; Borot, G. External Links: MGP Documents Indexed: 49 Publications since 2010, including 1 Book and 14 Additional arXiv Preprints 2 Contributions as Editor · 1 Further Contribution Co-Authors: 42 Co-Authors with 46 Joint Publications 874 Co-Co-Authors all top 5 Co-Authors 6 single-authored 10 Eynard, Bertrand 6 Charbonnier, Séverin 6 Lewanski, Danilo 5 Andersen, Jørgen Ellegaard 5 Garcia-Failde, Elba 4 Bouttier, Jérémie 4 Giacchetto, Alessandro 4 Guionnet, Alice 4 Orantin, Nicolas 4 Shadrin, Sergey V. 3 Bouchard, Vincent 3 Chidambaram, Nitin Kumar 3 Guitter, Emmanuel 3 Kramer, Reinier 3 Nadal, Celine 3 Wheeler, Campbell 2 Chekhov, Leonid O. 2 Creutzig, Thomas 2 Delecroix, Vincent 2 Do, Norman 2 Karev, Maksim V. 2 Kozlowski, Karol Kajetan 2 Möller, Martin 1 Bergère, Michel 1 Brini, Andrea 1 Buc-d’Alché, Thomas 1 Chen, Dawei 1 Denet, Bruno 1 Duplantier, Bertrand 1 Grushevsky, Samuel 1 Joulin, Guy 1 Leid, Felix 1 Majumdar, Satya N. 1 Moskovsky, Ellena 1 Mulase, Motohico 1 Norbury, Paul T. 1 Noshchenko, Dmitry 1 Popolitov, Aleksandr 1 Safnuk, Brad 1 Sauvaget, Adrien 1 Schüler, Yannik 1 Weiße, Alexander 1 Wendland, Katrin 1 Wulkenhaar, Raimar all top 5 Serials 4 Journal of Physics A: Mathematical and Theoretical 3 Communications in Mathematical Physics 3 Journal of Statistical Mechanics: Theory and Experiment 2 IMRN. International Mathematics Research Notices 2 Selecta Mathematica. New Series 2 Oberwolfach Reports 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 The Electronic Journal of Combinatorics 1 Advances in Theoretical and Mathematical Physics 1 Annales Henri Poincaré 1 Mathematical Physics Studies 1 Communications in Number Theory and Physics 1 Quantum Topology 1 Random Matrices: Theory and Applications 1 Forum of Mathematics, Sigma all top 5 Fields 23 Algebraic geometry (14-XX) 22 Quantum theory (81-XX) 13 Combinatorics (05-XX) 10 Probability theory and stochastic processes (60-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Functions of a complex variable (30-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Differential geometry (53-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Geometry (51-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Partial differential equations (35-XX) 4 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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