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László Erdős

  1. Bulk Universality for Wigner Matrices
    2009/05/26 by László Erdős, Erdos, Laszlo, Sandrine Péché +7 · 8 citations
    Mathematics · #15A52 #82B44 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications
  2. Delocalization and Diffusion Profile for Random Band Matrices
    2013/07/25 by László Erdős, Antti Knowles, Horng-Tzer Yau +1 · 6 citations
    Mathematics · #Random Matrices and Applications #Spectral Theory in Mathematical Physics #Holomorphic and Operator Theory
  3. Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices
    2013/08/27 by Alex Bloemendal, Bloemendal, Alex, László Erdős +7 · 5 citations
    Mathematics · #15B52 #60B20 #82B44 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications
  4. Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate
    2004/10/02 by László Erdős, Benjamin Schlein, Erdos, Laszlo +3 · 2 citations
    Physics and Astronomy · #35Q55 #81Q05 #81V70 #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectroscopy and Quantum Chemical Studies #Strong Light-Matter Interactions
  5. Singularities of solutions to quadratic vector equations on complex\n upper half-plane
    2015/12/06 by Oskari Ajanki, László Erdős, Ajanki, Oskari +3 · 3 citations
    Computer Science · Mathematics · #15B52 (Secondary) #45Gxx (Primary) 46Txx #60B20 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Matrix Theory and Algorithms #Probability (math.PR) #Random Matrices and Applications #Spectral Theory (math.SP)
  6. Eigenstate thermalisation at the edge for Wigner matrices
    2023/09/11 by Giorgio Cipolloni, László Erdős, Cipolloni, Giorgio +3 · 4 citations
    Computer Science · Mathematics · Physics and Astronomy · #Quantum Information and Cryptography #Spectral Theory in Mathematical Physics #Quantum optics and atomic interactions
  7. Universality for generalized Wigner matrices with Bernoulli distribution
    2010/03/19 by László Erdős, Erdos, László, Horng‐Tzer Yau +3 · 3 citations
    Mathematics · #Random Matrices and Applications #Mathematical functions and polynomials #Advanced Algebra and Geometry
  8. Normal fluctuation in quantum ergodicity for Wigner matrices
    2021/03/11 by Giorgio Cipolloni, Cipolloni, Giorgio, László Erdős +3 · 2 citations
    Mathematics · Physics and Astronomy · #15B52 #60B20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Mechanics and Applications #Quantum optics and atomic interactions #Random Matrices and Applications
  9. Linear Boltzmann Equation as the Weak Coupling Limit of a Random Schrodinger Equation
    1999/01/25 by László Erdős, L. Erdos, Erdos, L. +3 · 1 citation
    Mathematics · Physics and Astronomy · #76Y05 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics and Entropy #math-ph #math.MP #math.PR #msc:76Y05
  10. Eigenstate Thermalization Hypothesis for Wigner-type Matrices
    2024/03/15 by Volodymyr Riabov, Riabov, Volodymyr, László Erdős +1 · 4 citations
    Computer Science · Mathematics · Physics and Astronomy · #15B52 #60B20 #FOS: Mathematics #Matrix Theory and Algorithms #Probability (math.PR) #Spectral Theory in Mathematical Physics #Statistical Mechanics and Entropy
  11. Quantum diffusion for the Anderson model in the scaling limit
    2005/02/07 by László Erdős, Manfred Salmhofer, Erdos, Laszlo +3 · 1 citation
    Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems #Quantum chaos and dynamical systems
  12. Quantum diffusion of the random Schrodinger evolution in the scaling limit II. The recollision diagrams
    2005/12/06 by László Erdős, Erdos, Laszlo, Manfred Salmhofer +3 · 1 citation
    Mathematics · Physics and Astronomy · #60J65 #81T18 #82C10 #82C44 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #advanced mathematical theories
  13. Fluctuation Around the Circular Law for Random Matrices with Real\n Entries
    2020/02/06 by Giorgio Cipolloni, Cipolloni, Giorgio, László Erdős +3 · 2 citations
    Chemistry · Mathematics · Physics and Astronomy · #15B52 #60B20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Probability (math.PR) #Quantum Mechanics and Applications #Random Matrices and Applications
  14. Local single ring theorem on optimal scale
    2016/12/18 by Zhigang Bao, László Erdős, Bao, Zhigang +3 · 1 citation
    Mathematics · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Advanced Algebra and Geometry
  15. Precise asymptotics for the spectral radius of a large random matrix
    2022/10/27 by Giorgio Cipolloni, Cipolloni, Giorgio, László Erdős +3 · 2 citations
    Mathematics · Physics and Astronomy · #15B52 #60B20 #FOS: Mathematics #Probability (math.PR) #Quantum chaos and dynamical systems #Random Matrices and Applications #Spectral Theory in Mathematical Physics
  16. Central Limit Theorem for Linear Eigenvalue Statistics of non-Hermitian\n Random Matrices
    2019/12/09 by Giorgio Cipolloni, László Erdős, Cipolloni, Giorgio +3 · 1 citation
    Computer Science · Mathematics · #15B52 #60B20 #Advanced Algebra and Geometry #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Probability (math.PR) #Random Matrices and Applications
  17. On the condition number of the shifted real Ginibre ensemble
    2021/05/28 by Giorgio Cipolloni, László Erdős, Cipolloni, Giorgio +3 · 1 citation
    Mathematics · #60B20 #65F35 #68W40 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR) #Random Matrices and Applications
  18. Small deviation estimates for the largest eigenvalue of Wigner matrices
    2021/12/22 by László Erdős, Yuanyuan Xu, Erdős, László +1 · 1 citation
    Mathematics · #Random Matrices and Applications #Advanced Algebra and Geometry #Spectral Theory in Mathematical Physics
  19. On the spectral edge of non-Hermitian random matrices
    2024/04/26 by Andrew I. Campbell, Campbell, Andrew, Giorgio Cipolloni +5 · 2 citations
    Computer Science · Mathematics · #15B52 #60B20 #FOS: Mathematics #Matrix Theory and Algorithms #Probability (math.PR) #Random Matrices and Applications #Spectral Theory in Mathematical Physics
  20. The Zigzag Strategy for Random Band Matrices
    2025/06/06 by László Erdős, Erdős, László, Volodymyr Riabov +1 · 6 citations
    Computer Science · Mathematics · #15B52 #60B20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Information and Cryptography #Random Matrices and Applications #Spectral Theory in Mathematical Physics
  21. Prethermalization for Deformed Wigner Matrices
    2023/10/10 by László Erdős, Joscha Henheik, Erdős, László +5 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #60B20 #82C10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Information and Cryptography #Quantum many-body systems #Spectral Theory in Mathematical Physics
  22. Eigenvector decorrelation for random matrices
    2024/10/14 by Giorgio Cipolloni, Cipolloni, Giorgio, László Erdős +5 · 1 citation
    Computer Science · Decision Sciences · Mathematics · #60B20 #82C10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Probability (math.PR) #Probability and Risk Models #Random Matrices and Applications
  23. Optimal decay of eigenvector overlap for non-Hermitian random matrices
    2024/11/25 by Giorgio Cipolloni, Cipolloni, Giorgio, László Erdős +3 · 1 citation
    Mathematics · Computer Science · Physics and Astronomy · #Random Matrices and Applications #Matrix Theory and Algorithms #Quantum Mechanics and Applications