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Mathematics

D-Index
35
Citations
5251
World Ranking
2775
National Ranking
1134

Overview

Pavel Bleher is affiliated with Indiana University - Purdue University Indianapolis in the United States. Their research primarily focuses on Mathematics, with a notable emphasis on subfields such as Mathematical Physics, Statistics and Probability, Discrete Mathematics and Combinatorics, Geometry and Topology, and Computational Theory and Mathematics.

The scientist's main topics of work include Random Matrices and Applications, Advanced Combinatorial Mathematics, Geometry and Complex Manifolds, Mathematical Functions and Polynomials, Matrix Theory and Algorithms, Spectral Theory in Mathematical Physics, and advanced mathematical theories.

Frequent coauthors collaborating with Pavel Bleher include Ahmad Barhoumi, Alfredo Deaño, Maxim L. Yattselev, Roozbeh Gharakhloo, and Guilherme L. F. Silva.

The publication record features papers in key venues, with repeated contributions to arXiv (Cornell University). Other notable publication venues include Memoirs of the American Mathematical Society, Munich Personal RePEc Archive (Ludwig Maximilian University of Munich), Communications on Pure and Applied Mathematics, and Notices of the American Mathematical Society.

Recent papers authored by Pavel Bleher are:

  • The mother body phase transition in the normal matrix model, 2020, Munich Personal RePEc Archive (Ludwig Maximilian University of Munich)
  • Phase diagram and topological expansion in the complex quartic random matrix model, 2023, Communications on Pure and Applied Mathematics
  • The Mother Body Phase Transition in the Normal Matrix Model, 2020, Memoirs of the American Mathematical Society
  • Phase Diagram and Topological Expansion in the Complex Quartic Random Matrix Model, 2021, arXiv (Cornell University)

Best Publications

  • Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model

    Pavel Bleher;Alexander Its

  • Investigation of the Critical Point in Models of the Type of Dyson's Hierarchical Models

    P. M. Bleher;Ja. G. Sinai

  • On the purity of the limiting gibbs state for the Ising model on the Bethe lattice

    P. M. Bleher;P. M. Bleher;J. Ruiz;V. A. Zagrebnov;V. A. Zagrebnov

  • Large n Limit of Gaussian Random Matrices with External Source, Part I

    Pavel Bleher;Arno B. J. Kuijlaars

  • UNIVERSALITY AND SCALING OF CORRELATIONS BETWEEN ZEROS ON COMPLEX MANIFOLDS

    Pavel Bleher;Bernard Shiffman;Steve Zelditch

  • Double scaling limit in the random matrix model: The Riemann-Hilbert approach

    Pavel M. Bleher;Alexander R. Its

  • Random matrices with external source and multiple orthogonal polynomials

    P. M. Bleher;A. B. J. Kuijlaars

  • Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon

    P. M. Bleher

  • Large n Limit of Gaussian Random Matrices with External Source, Part III: Double Scaling Limit

    Pavel M. Bleher;Arno B. J. Kuijlaars

  • Critical indices for Dyson's asymptotically-hierarchical models

    P. M. Bleher;Ya. G. Sinai

  • Asymptotics of the partition function of a random matrix model

    Pavel M. Bleher;Alexander R. Its

  • Existence and positivity of solutions of a fourth‐order nonlinear PDE describing interface fluctuations

    Pavel M. Bleher;Joel L. Lebowitz;Eugene R. Speer

  • Integral representations for multiple Hermite and multiple Laguerre polynomials

    Pavel M. Bleher;Arno B.J. Kuijlaars

  • Distribution of the error term for the number of lattice points inside a shifted circle

    Pavel M. Bleher;Zheming Cheng;Freeman J. Dyson;Joel L. Lebowitz

  • Random Matrix Models and Their Applications

    Pavel M. Bleher;Alexander R Its

  • Large n Limit of Gaussian Random Matrices with External Source, Part II

    Unknown

  • Correlations between zeros of a random polynomial

    Pavel Bleher;Xiaojun Di

  • Exact Solution of the Six-Vertex Model with Domain Wall Boundary Conditions. Disordered Phase

    Pavel M. Bleher;Vladimir V. Fokin

  • On the distribution of the number of lattice points inside a family of convex ovals

    Pavel Bleher

  • Orthogonal polynomials in the normal matrix model with a cubic potential

    Pavel M. Bleher;Arno B.J. Kuijlaars

  • Rigidity of the Critical Phases on a Cayley Tree

    P. Bleher;J. Ruiz;R. Schonmann;S. Shlosman

  • Extremity of the Disordered Phase in the Ising Model on the Bethe Lattice

    P. M. Bleher

Frequent Co-Authors

Alexander Its
Alexander Its Indiana University – Purdue University Indianapolis
Joel L. Lebowitz
Joel L. Lebowitz Rutgers, The State University of New Jersey
Steve Zelditch
Steve Zelditch Northwestern University
Bernard Shiffman
Bernard Shiffman Johns Hopkins University
Yakov G. Sinai
Yakov G. Sinai Princeton University
Alexander Ivanovich Aptekarev
Alexander Ivanovich Aptekarev Keldysh Institute of Applied Mathematics
Bertrand Eynard
Bertrand Eynard University of Paris-Saclay
Roberto H. Schonmann
Roberto H. Schonmann University of California, Los Angeles
Frank W. Nijhoff
Frank W. Nijhoff University of Leeds

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