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Mathematics

D-Index
54
Citations
10280
World Ranking
846
National Ranking
12

Research.com Recognitions

  • 2015 - Member of Academia Europaea

Overview

László Erdős is a researcher affiliated with the Institute of Science and Technology Austria in Austria. Their work spans primarily the fields of mathematics and physics and astronomy, with significant contributions in subfields such as statistics and probability, mathematical physics, atomic and molecular physics and optics, statistical and nonlinear physics, and discrete mathematics and combinatorics.

The principal topics of their research include:

  • Random Matrices and Applications
  • Advanced Algebra and Geometry
  • Spectral Theory in Mathematical Physics
  • Quantum many-body systems
  • Advanced Combinatorial Mathematics
  • Matrix Theory and Algorithms
  • Stochastic processes and statistical mechanics

Erdős has published extensively, with a large number of papers appearing in venues such as arXiv (Cornell University), Communications in Mathematical Physics, Probability Theory and Related Fields, Journal of Functional Analysis, and The Annals of Probability.

Recent publications include:

  • "The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and Cusps," 2020, Documenta Mathematica
  • "Spectral radius of random matrices with independent entries," 2021, Probability and Mathematical Physics
  • "Central Limit Theorem for Linear Eigenvalue Statistics of Non-Hermitian Random Matrices," 2021, Communications on Pure and Applied Mathematics
  • "Normal fluctuation in quantum ergodicity for Wigner matrices," 2022, The Annals of Probability
  • "Optimal lower bound on the least singular value of the shifted Ginibre ensemble," 2020, Probability and Mathematical Physics

Frequent collaborators include Giorgio Cipolloni, Dominik Schröder, Joscha Henheik, Hong Chang Ji, and Volodymyr Riabov.

Erdős is a member of Academia Europaea, an honor received in 2015.

Best Publications

  • Derivation of the Cubic Non-linear Schr"odinger Equation from Quantum Dynamics of Many-Body Systems

    Laszlo Erdos;Benjamin Schlein;Horng-Tzer Yau

  • Rigidity of eigenvalues of generalized Wigner matrices

    László Erdos;Horng-Tzer Yau;Jun Yin

  • Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate

    Laszlo Erdos;Benjamin Schlein;Horng-Tzer Yau

  • Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems

    László Erdős;Benjamin Schlein;Horng-Tzer Yau

  • Derivation of the nonlinear Schrödinger equation from a many body Coulomb system

    László Erdős;Horng-Tzer Yau

  • Spectral statistics of Erdős–Rényi graphs I: Local semicircle law

    László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • Bulk universality for generalized Wigner matrices

    László Erdős;Horng-Tzer Yau;Jun Yin

  • Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices

    László Erdős;Benjamin Schlein;Horng-Tzer Yau

  • Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation

    László Erdős;Horng-Tzer Yau

  • Local Semicircle Law and Complete Delocalization for Wigner Random Matrices

    László Erdős;Benjamin Schlein;Horng-Tzer Yau

  • Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

    László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • Universality of random matrices and local relaxation flow

    László Erdős;Benjamin Schlein;Horng-Tzer Yau

  • Spectral statistics of Erd\H{o}s-R'{e}nyi graphs I: Local semicircle law

    László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • The local semicircle law for a general class of random matrices

    László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin

  • Wegner Estimate and Level Repulsion for Wigner Random Matrices

    László Erdős;Benjamin Schlein;Horng-Tzer Yau

  • Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate

    László Erdős;Benjamin Schlein;Benjamin Schlein;Horng-Tzer Yau;Horng-Tzer Yau

  • Rigorous derivation of the Gross-Pitaevskii equation.

    Laszlo Erdos;Benjamin Schlein;Horng-Tzer Yau

  • Isotropic local laws for sample covariance and generalized Wigner matrices

    Bloemendal Alex;László Erdős;Antti Knowles;Horng-Tzer Yau

  • The local relaxation flow approach to universality of the local statistics for random matrices

    László Erdős;Benjamin Schlein;Horng-Tzer Yau;Jun Yin

  • A Dynamical Approach to Random Matrix Theory

    László Erdős;Horng-Tzer Yau

Frequent Co-Authors

Horng-Tzer Yau
Horng-Tzer Yau Harvard University
Benjamin Schlein
Benjamin Schlein University of Zurich
Antti Knowles
Antti Knowles University of Geneva
Jan Philip Solovej
Jan Philip Solovej University of Copenhagen

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