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Pierre van Moerbeke

Pierre van Moerbeke

D-Index & Metrics

Mathematics

D-Index
44
Citations
7719
World Ranking
1592
National Ranking
685

Overview

Pierre van Moerbeke is affiliated with Brandeis University in the United States. Their research spans various domains within mathematics, with a concentration on fields and subfields such as mathematics, statistics and probability, discrete mathematics and combinatorics, artificial intelligence, and applied mathematics.

The scientist's work covers several main topics, including random matrices and applications, advanced combinatorial mathematics, Bayesian methods and mixture models, and point processes and geometric inequalities.

Van Moerbeke has coauthored publications with several frequent collaborators, notably Mark Adler and Kurt Johansson. Their research output includes papers published in well-regarded venues such as the Journal of Mathematical Physics and The Annals of Applied Probability.

  • Double interlacing in random tiling models, 2023, Journal of Mathematical Physics
  • A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles, 2022, The Annals of Applied Probability

Their frequent collaborators include:

  • Mark Adler
  • Kurt Johansson

Recent publishing venues are:

  • Journal of Mathematical Physics
  • The Annals of Applied Probability

Van Moerbeke's research field distribution is as follows:

  • Mathematics (5 publications)

Subfields of study include:

  • Statistics and Probability (2 publications)
  • Discrete Mathematics and Combinatorics (2 publications)
  • Artificial Intelligence (1 publication)
  • Applied Mathematics (1 publication)

The main research topics covered in van Moerbeke's work comprise:

  • Random Matrices and Applications (4 publications)
  • Advanced Combinatorial Mathematics (4 publications)
  • Bayesian Methods and Mixture Models (2 publications)
  • Point processes and geometric inequalities (2 publications)

Best Publications

  • The spectrum of Hill's equation

    Unknown

  • Completely Integrable Systems, Euclidean Lie-algebras, and Curves

    M. Adler;M. Adler;Pierre Van Moerbeke;Pierre Van Moerbeke

  • On an Explicitly Soluble System of Nonlinear Differential Equations Related to Certain Toda Lattices

    M Kac;Pierre van Moerbeke

  • The spectrum of difference operators and algebraic curves

    Pierre Van Moerbeke;David Mumford

  • Linearization of Hamiltonian systems, Jacobi varieties and representation theory☆

    Mark Adler;Mark Adler;Pierre van Moerbeke;Pierre van Moerbeke

  • A matrix integral solution to two-dimensional W p -gravity

    M. Adler;P. van Moerbeke;P. van Moerbeke

  • Hermitian, symmetric and symplectic random ensembles: PDEs for the distribution of the spectrum

    Mark Adler;Pierre van Moerbeke

  • A Lax Representation for the Vertex Operator and the Central Extension

    M. Adler;T. Shiota;P. van Moerbeke;P. van Moerbeke

  • A complete solution of the periodic Toda problem.

    M. Kac;Pierre van Moerbeke

  • On some periodic toda lattices.

    M. Kac;Pierre Van Moerbeke

  • Kowalewski's asymptotic method, Kac-Moody Lie algebras and regularization

    M. Adler;P. van Moerbeke;P. van Moerbeke

  • Integrals over classical groups, random permutations, toda and Toeplitz lattices

    Mark Adler;Pierre van Moerbeke;Pierre van Moerbeke

  • PDEs for the joint distributions of the Dyson, Airy and Sine processes

    Mark Adler;Pierre van Moerbeke

  • The complex geometry of the Kowalewski-Painlevé analysis

    Mark Adler;Pierre van Moerbeke;Pierre van Moerbeke

  • The Algebraic Integrability of Geodesic-flow On So(4)

    M. Adler;Pierre Van Moerbeke;Pierre Van Moerbeke

  • String orthogonal polynomials, string equations, and 2 Toda symmetries

    Mark Adler;Pierre Van Moerbeke

  • Vertex operator solutions to the discrete KP-hierarchy ⁄

    M. Adler;P. van Moerbeke

  • Moment Matrices and Multi-Component KP, with Applications to Random Matrix Theory

    Mark Adler;Pierre van Moerbeke;Pierre van Moerbeke;Pol Vanhaecke

  • Random Matrices, Vertex Operators and the Virasoro-algebra

    M. Adler;T. Shiota;P. van Moerbeke;P. van Moerbeke

  • The Kowalewski and Henon-heiles Motions As Manakov Geodesic-flows On So(4) - a Two-dimensional Family of Lax Pairs

    Mark Adler;Pierre van Moerbeke;Pierre van Moerbeke

  • The spectrum of coupled random matrices

    Mark Adler;Pierre van Moerbeke

Frequent Co-Authors

Mark Adler
Mark Adler Brandeis University
Patrik L. Ferrari
Patrik L. Ferrari University of Bonn

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