Edit Profile (opens in new tab) Marchal, Olivier Compute Distance To: Compute Author ID: marchal.olivier Published as: Marchal, Olivier; Marchal, O. Homepage: https://sites.google.com/a/ualberta.ca/olivier-marchal/home External Links: MGP · ORCID Documents Indexed: 20 Publications since 2011, including 2 Books Reviewing Activity: 16 Reviews Co-Authors: 14 Co-Authors with 15 Joint Publications 210 Co-Co-Authors all top 5 Co-Authors 5 single-authored 7 Eynard, Bertrand 3 Arbel, Julyan 2 Belliard, Raphael 2 Bergère, Michel 2 Iwaki, Kohei 2 Kashani-Poor, Amir-Kian 2 Orantin, Nicolas 1 Bouchard, Vincent 1 Catuneanu, Andrei 1 Chekhov, Leonid O. 1 Nipoti, Bernardo 1 Prats Ferrer, A. 1 Saenz, Axel 1 Sułkowski, Piotr all top 5 Serials 5 Annales Henri Poincaré 2 Letters in Mathematical Physics 2 Journal of Geometry and Physics 2 Random Matrices: Theory and Applications 2 Références Sciences 1 Journal of Mathematical Physics 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 Electronic Communications in Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Inequalities and Applications 1 Journal of High Energy Physics all top 5 Fields 8 Algebraic geometry (14-XX) 7 Quantum theory (81-XX) 6 Probability theory and stochastic processes (60-XX) 4 Ordinary differential equations (34-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 16 Publications have been cited 93 times in 64 Documents Cited by ▼ Year ▼ Topological expansion of the \(\beta\)-ensemble model and quantum algebraic geometry in the sectorwise approach. Zbl 1354.81014Chekhov, L. O.; Eynard, B.; Marchal, O. 21 2011 A matrix model for the topological string. I: Deriving the matrix model. Zbl 1408.81027Eynard, Bertrand; Kashani-Poor, Amir-Kian; Marchal, Olivier 9 2014 Painlevé 2 equation with arbitrary monodromy parameter, topological recursion and determinantal formulas. Zbl 1385.34067Iwaki, Kohei; Marchal, Olivier 8 2017 Painlevé equations, topological type property and reconstruction by the topological recursion. Zbl 1391.34140Iwaki, K.; Marchal, O.; Saenz, A. 8 2018 Loop equations and topological recursion for the arbitrary-\(\beta\) two-matrix model. Zbl 1309.81199Bergère, M.; Eynard, B.; Marchal, O.; Prats-Ferrer, A. 7 2012 The remodeling conjecture and the Faber-Pandharipande formula. Zbl 1282.14094Bouchard, Vincent; Catuneanu, Andrei; Marchal, Olivier; Sułkowski, Piotr 7 2013 Integrable differential systems of topological type and reconstruction by the topological recursion. Zbl 1379.35273Belliard, Raphaël; Eynard, Bertrand; Marchal, Olivier 7 2017 The sine-law gap probability, Painlevé 5, and asymptotic expansion by the topological recursion. Zbl 1314.15027Marchal, O.; Eynard, B.; Bergère, M. 6 2014 Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: the \(\mathfrak{s} \mathfrak{l}_2\) case. Zbl 1461.34100Marchal, Olivier; Orantin, Nicolas 4 2020 On strict sub-Gaussianity, optimal proxy variance and symmetry for bounded random variables. Zbl 1445.60016Arbel, Julyan; Marchal, Olivier; Nguyen, Hien D. 3 2020 On the sub-Gaussianity of the beta and Dirichlet distributions. Zbl 1395.60016Marchal, Olivier; Arbel, Julyan 3 2017 WKB solutions of difference equations and reconstruction by the topological recursion. Zbl 1387.14095Marchal, Olivier 3 2018 Loop equations from differential systems on curves. Zbl 1382.81111Belliard, Raphaël; Eynard, Bertrand; Marchal, Olivier 3 2018 A matrix model for the topological string. II: The spectral curve and mirror geometry. Zbl 1260.81195Eynard, Bertrand; Kashani-Poor, Amir-Kian; Marchal, Olivier 2 2013 Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion. Zbl 1482.53114Marchal, Olivier; Orantin, Nicolas 1 2022 Matrix models, Toeplitz determinants and recurrence times for powers of random unitary matrices. Zbl 1362.15026Marchal, O. 1 2015 Quantization of hyper-elliptic curves from isomonodromic systems and topological recursion. Zbl 1482.53114Marchal, Olivier; Orantin, Nicolas 1 2022 Isomonodromic deformations of a rational differential system and reconstruction with the topological recursion: the \(\mathfrak{s} \mathfrak{l}_2\) case. Zbl 1461.34100Marchal, Olivier; Orantin, Nicolas 4 2020 On strict sub-Gaussianity, optimal proxy variance and symmetry for bounded random variables. Zbl 1445.60016Arbel, Julyan; Marchal, Olivier; Nguyen, Hien D. 3 2020 Painlevé equations, topological type property and reconstruction by the topological recursion. Zbl 1391.34140Iwaki, K.; Marchal, O.; Saenz, A. 8 2018 WKB solutions of difference equations and reconstruction by the topological recursion. Zbl 1387.14095Marchal, Olivier 3 2018 Loop equations from differential systems on curves. Zbl 1382.81111Belliard, Raphaël; Eynard, Bertrand; Marchal, Olivier 3 2018 Painlevé 2 equation with arbitrary monodromy parameter, topological recursion and determinantal formulas. Zbl 1385.34067Iwaki, Kohei; Marchal, Olivier 8 2017 Integrable differential systems of topological type and reconstruction by the topological recursion. Zbl 1379.35273Belliard, Raphaël; Eynard, Bertrand; Marchal, Olivier 7 2017 On the sub-Gaussianity of the beta and Dirichlet distributions. Zbl 1395.60016Marchal, Olivier; Arbel, Julyan 3 2017 Matrix models, Toeplitz determinants and recurrence times for powers of random unitary matrices. Zbl 1362.15026Marchal, O. 1 2015 A matrix model for the topological string. I: Deriving the matrix model. Zbl 1408.81027Eynard, Bertrand; Kashani-Poor, Amir-Kian; Marchal, Olivier 9 2014 The sine-law gap probability, Painlevé 5, and asymptotic expansion by the topological recursion. Zbl 1314.15027Marchal, O.; Eynard, B.; Bergère, M. 6 2014 The remodeling conjecture and the Faber-Pandharipande formula. Zbl 1282.14094Bouchard, Vincent; Catuneanu, Andrei; Marchal, Olivier; Sułkowski, Piotr 7 2013 A matrix model for the topological string. II: The spectral curve and mirror geometry. Zbl 1260.81195Eynard, Bertrand; Kashani-Poor, Amir-Kian; Marchal, Olivier 2 2013 Loop equations and topological recursion for the arbitrary-\(\beta\) two-matrix model. Zbl 1309.81199Bergère, M.; Eynard, B.; Marchal, O.; Prats-Ferrer, A. 7 2012 Topological expansion of the \(\beta\)-ensemble model and quantum algebraic geometry in the sectorwise approach. Zbl 1354.81014Chekhov, L. O.; Eynard, B.; Marchal, O. 21 2011 all cited Publications top 5 cited Publications all top 5 Cited by 101 Authors 12 Marchal, Olivier 10 Eynard, Bertrand 7 Sułkowski, Piotr 6 Iwaki, Kohei 3 Bouchard, Vincent 3 Ciosmak, Paweł 3 Fang, Bohan 3 Hadasz, Leszek 3 Orantin, Nicolas 3 Rim, Chaiho 2 Belliard, Raphael 2 Chapuy, Guillaume 2 Desrosiers, Patrick 2 Forrester, Peter J. 2 Harnad, John 2 Kashani-Poor, Amir-Kian 2 Klock, Timo 2 Liu, Chiu-Chu Melissa 2 Liu, Dangzheng 2 Manabe, Masahide 2 Mariño, Marcos 2 Popolitov, Aleksandr 2 Saenz, Axel 2 Shakirov, Shamil 2 Witte, Nicholas S. 2 Yang, Di 2 Zong, Zhengyu 1 Alexandrov, Alexander Sergeevich 1 Arbel, Julyan 1 Baek, Jong-Hyun 1 Becker, Stephen R. 1 Bekerman, Florent 1 Bennett, Julia 1 Bertola, Marco 1 Bonelli, Giulio 1 Bourgine, Jean-Emile 1 Brini, Andrea 1 Chan, Chuantsung 1 Chekhov, Leonid O. 1 Choi, Sang-Kwan 1 Chung, Hee-Joong 1 Córdova, Clay 1 Dimofte, Tudor Dan 1 Doostan, Alireza 1 Dubrovin, Boris Anatol’evich 1 Dumaz, Laure 1 Dumitrescu, Olivia 1 Figalli, Alessio 1 Fuji, Hiroyuki 1 Grassi, Alba 1 Gu, Jie 1 Guionnet, Alice 1 Gukov, Sergei 1 Gurau, Razvan Gheorghe 1 Heidenreich, Ben 1 Huang, Minxin 1 Hutchinson, Joel 1 Irie, Hirotaka 1 Jaskólski, Zbigniew 1 Kereta, Željko 1 Kidwai, Omar 1 Kozak, David 1 Lanteri, Alessandro 1 Larraguível, Hélder 1 Lodin, Rebecca 1 Loliencar, Prachi 1 Maruyoshi, Kazunobu 1 Meiers, Michael 1 Mezzadri, Francesco 1 Mobasheramini, Fatane 1 Mulase, Motohico 1 Murakami, Hitoshi 1 Niedner, Benjamin 1 Nishinaka, Takahiro 1 Noshchenko, Dmitry 1 Ooguri, Hirosi 1 Osuga, Kento 1 Panfil, Miłosz 1 Reynolds, Alexi K. 1 Ruba, Błażej 1 Rupert, Matthew 1 Safnuk, Brad 1 Sun, Xingping 1 Szabo, Richard J. 1 Takei, Yumiko 1 Tanzini, Alessandro 1 Tenorio, Luis 1 Terashima, Yuji 1 Tierz, Miguel 1 Vigogna, Stefano 1 Virág, Bálint 1 Winn, Brian 1 Woskoff, Kaitlin 1 Wu, Zongmin 1 Yamazaki, Masahito 1 Yeh, Chi-Hsien 1 Zabzine, Maxim 1 Zagier, Don Bernard 1 Zakany, Szabolcs 1 Zhang, Hong ...and 1 more Authors all top 5 Cited in 23 Serials 11 Communications in Mathematical Physics 10 Journal of High Energy Physics 8 Annales Henri Poincaré 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Letters in Mathematical Physics 3 Journal of Mathematical Physics 2 Nuclear Physics. B 2 Journal of Geometry and Physics 2 Electronic Journal of Statistics 2 Random Matrices: Theory and Applications 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Advances in Mathematics 1 Michigan Mathematical Journal 1 Constructive Approximation 1 Journal of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Computational Optimization and Applications 1 Selecta Mathematica. New Series 1 Integral Transforms and Special Functions 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Advances in High Energy Physics all top 5 Cited in 32 Fields 37 Quantum theory (81-XX) 22 Algebraic geometry (14-XX) 10 Probability theory and stochastic processes (60-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Ordinary differential equations (34-XX) 8 Special functions (33-XX) 7 Nonassociative rings and algebras (17-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Combinatorics (05-XX) 5 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 4 Statistics (62-XX) 4 Relativity and gravitational theory (83-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Category theory; homological algebra (18-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year