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Eynard, Bertrand

  1. Invariants of algebraic curves and topological expansion
    2007/02/14 by Nicolas Orantin, Eynard, Bertrand, Orantin, Nicolas · 31 citations
    Mathematics · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory
  2. Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture
    2012/05/05 by Bertrand Eynard, Eynard, Bertrand, Nicolas Orantin +1 · 7 citations
    Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)
  3. Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models
    2007/05/24 by Eynard, Bertrand, Orantin, Nicolas · 4 citations
    #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
  4. Determinantal formulae and loop equations
    2009/01/21 by Bergère, Michel, Eynard, Bertrand · 3 citations
    #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
  5. Resurgent Asymptotics of Jackiw-Teitelboim Gravity and the Nonperturbative Topological Recursion
    2023/05/26 by Bertrand Eynard, Eynard, Bertrand, Elba Garcia‐Failde +7 · 4 citations
    Physics and Astronomy · #Algebraic Geometry (math.AG) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Symplectic Geometry (math.SG)
  6. Topological recursion for generalised Kontsevich graphs and r-spin intersection numbers
    2021/05/17 by Belliard, Raphaël, Charbonnier, Séverin, Eynard, Bertrand +1 · 2 citations
    #05A15 #05C30 #14H70 #14N10 #14N35 #37K10 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  7. Large N expansion of the 2-matrix model, multicut case
    2003/07/25 by Bertrand Eynard, Eynard, Bertrand · 1 citation
    Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP
  8. A short note about Morozov's formula
    2004/06/25 by Bertrand Eynard, Eynard, Bertrand · 1 citation
    Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP
  9. Algebraic methods in random matrices and enumerative geometry
    2008/11/21 by Eynard, Bertrand, Orantin, Nicolas · 1 citation
    #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
  10. A concise expression for the ODE's of orthogonal polynomials
    2001/09/20 by Bertrand Eynard, Eynard, Bertrand · 1 citation
    Mathematics · Physics and Astronomy · #05Exx #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #math-ph #math.MP #math.SP #msc:05Exx
  11. Resurgent large genus asymptotics of intersection numbers
    2023/09/06 by Eynard, Bertrand, Elba Garcia‐Failde, Alessandro Giacchetto +6 · 2 citations
    Computer Science · Mathematics · #05A16 (Secondary) #14H10 #14H70 (Primary) 37K20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometry and complex manifolds #Mathematical Physics (math-ph) #Polynomial and algebraic computation
  12. Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the Fg invariants
    2007/05/07 by Bertrand Eynard, Eynard, Bertrand, Nicolas Orantin +1 · 1 citation
    Computer Science · Mathematics · #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Random Matrices and Applications #Topological and Geometric Data Analysis
  13. Quantization of classical spectral curves via topological recursion
    2021/06/08 by Eynard, Bertrand, Garcia-Failde, Elba, Marchal, Olivier +1 · 1 citation
    #14H70 #34E20 #34M55 #34M56 #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
  14. The factorial growth of topological recursion
    2024/09/26 by Gaëtan Borot, Borot, Gaëtan, Bertrand Eynard +3 · 2 citations
    Computer Science · Mathematics · #05A16 #14H10 #14H70 #37K20 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Topological and Geometric Data Analysis