D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 55 Citations 9,263 141 World Ranking 399 National Ranking 19

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

His primary areas of study are Pure mathematics, Matrix, Hermitian matrix, Topology and Mathematical analysis. His Pure mathematics study integrates concerns from other disciplines, such as Symmetry and Generating function. His Matrix research is multidisciplinary, incorporating perspectives in Holomorphic function and Random matrix.

His Hermitian matrix research includes elements of Disjoint sets, Matrix model, Loop and Symmetric matrix. His studies deal with areas such as Conjecture, Algebraic curve and Partition function as well as Topology. He has included themes like Eigenvalues and eigenvectors and Moduli space in his Mathematical analysis study.

His most cited work include:

  • Invariants of algebraic curves and topological expansion (646 citations)
  • Topological expansion for the 1-hermitian matrix model correlation functions (336 citations)
  • All genus correlation functions for the hermitian 1-matrix model (267 citations)

What are the main themes of his work throughout his whole career to date?

Bertrand Eynard focuses on Pure mathematics, Topology, Matrix, Loop and Hermitian matrix. His Pure mathematics study combines topics from a wide range of disciplines, such as Random matrix and Mathematical analysis. His Topology research is multidisciplinary, incorporating elements of Series, Genus and Generating function.

His Matrix research integrates issues from Orthogonal polynomials, Combinatorics, Mathematical physics, Asymptotic expansion and Limit. Boundary value problem is closely connected to Matrix model in his research, which is encompassed under the umbrella topic of Loop. The Hermitian matrix study combines topics in areas such as Algebraic curve, Eigenvalues and eigenvectors, Eigendecomposition of a matrix and Energy.

He most often published in these fields:

  • Pure mathematics (42.25%)
  • Topology (31.46%)
  • Matrix (22.54%)

What were the highlights of his more recent work (between 2014-2021)?

  • Topology (31.46%)
  • Pure mathematics (42.25%)
  • Loop (24.88%)

In recent papers he was focusing on the following fields of study:

Bertrand Eynard spends much of his time researching Topology, Pure mathematics, Loop, Riemann surface and Type. His Topology research includes elements of Genus, Combinatorics and WKB approximation. His work carried out in the field of Pure mathematics brings together such families of science as Conformal field theory and Mathematical analysis.

His studies deal with areas such as Class and Random matrix as well as Loop. His Riemann surface study combines topics in areas such as Lie group, Locus, Sigma and Moduli space. His biological study deals with issues like Special case, which deal with fields such as Hermitian matrix.

Between 2014 and 2021, his most popular works were:

  • Computation of Open Gromov–Witten Invariants for Toric Calabi–Yau 3-Folds by Topological Recursion, a Proof of the BKMP Conjecture (101 citations)
  • All-order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials (75 citations)
  • Abstract loop equations, topological recursion and new applications (66 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

His primary scientific interests are in Topology, Function, Loop, Genus and Series. Many of his research projects under Topology are closely connected to Interior point method with Interior point method, tying the diverse disciplines of science together. His research investigates the connection between Function and topics such as Generating function that intersect with issues in Multiplicative function, Strongly monotone, Monotone polygon and Type.

His Loop research is multidisciplinary, incorporating perspectives in Pure mathematics and Integrable system. His Pure mathematics research incorporates elements of Random matrix and Interpretation. His work deals with themes such as Polynomial, Riemann sphere, Rank and Surface, which intersect with Series.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Invariants of algebraic curves and topological expansion

Bertrand Eynard;Nicolas Orantin.
Communications in Number Theory and Physics (2007)

819 Citations

Random matrices

Bertrand Eynard;Taro Kimura;Sylvain Ribault.
arXiv: Mathematical Physics (2015)

423 Citations

All genus correlation functions for the hermitian 1-matrix model

B. Eynard.
arXiv: High Energy Physics - Theory (2004)

402 Citations

Topological expansion for the 1-hermitian matrix model correlation functions

Bertrand Eynard.
Journal of High Energy Physics (2004)

337 Citations

Torus knots and mirror symmetry

Andrea Brini;Bertrand Eynard;Marcos Marino.
arXiv: High Energy Physics - Theory (2011)

244 Citations

Hermitian matrix model free energy: Feynman graph technique for all genera

Leonid Chekhov;Bertrand Eynard.
Journal of High Energy Physics (2006)

217 Citations

Hermitean matrix model free energy: Feynman graph technique for all genera

L. Chekhov;B. Eynard.
arXiv: High Energy Physics - Theory (2005)

204 Citations

Breakdown of universality in multi-cut matrix models

Gabrielle Bonnet;Francois David;Bertrand Eynard.
Journal of Physics A (2000)

203 Citations

Matrices coupled in a chain: I. Eigenvalue correlations

Bertrand Eynard;Madan Lal Mehta.
Journal of Physics A (1998)

200 Citations

Algebraic methods in random matrices and enumerative geometry

Bertrand Eynard;Nicolas Orantin.
arXiv: Mathematical Physics (2008)

187 Citations

Best Scientists Citing Bertrand Eynard

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Alice Guionnet

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Satya N. Majumdar

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Albrecht Klemm

Albrecht Klemm

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Grégory Schehr

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Arno B. J. Kuijlaars

Arno B. J. Kuijlaars

KU Leuven

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P. Di Francesco

P. Di Francesco

University of Illinois at Urbana-Champaign

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Andrei Vladimirovich Marshakov

Andrei Vladimirovich Marshakov

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Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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