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Cipolloni, Giorgio

  1. Dynamical Localization for Random Band Matrices up to W≪ N1/4
    2022/06/11 by Giorgio Cipolloni, Ron Peled, Cipolloni, Giorgio +5 · 6 citations
    Mathematics · #Random Matrices and Applications #Spectral Theory in Mathematical Physics #Stochastic processes and statistical mechanics
  2. Universality of extremal eigenvalues of large random matrices
    2023/12/13 by Cipolloni, Giorgio, Erdős, László, Xu, Yuanyuan · 6 citations
    #60B20 #60G55 #60G70 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  3. Optimal Lower Bound on Eigenvector Overlaps for non-Hermitian Random Matrices
    2023/01/09 by Cipolloni, Giorgio, Erdős, László, Henheik, Joscha +1 · 4 citations
    #15B52 #60B20 #62F22 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  4. Matrix Concentration Inequalities and Free Probability II. Two-sided Bounds and Applications
    2024/06/17 by Bandeira, Afonso S., Cipolloni, Giorgio, Schröder, Dominik +1 · 8 citations
    #15B52 #46L53 #46L54 #60B20 #60E15 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Probability (math.PR)
  5. Mesoscopic Central Limit Theorem for non-Hermitian Random Matrices
    2022/10/21 by Cipolloni, Giorgio, Endős, László, Schröder, Dominik · 4 citations
    #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  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. Functional Central Limit Theorems for Wigner Matrices
    2020/12/24 by Cipolloni, Giorgio, Erdős, László, Schröder, Dominik · 2 citations
    #15B52 #60B20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  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. Optimal multi-resolvent local laws for Wigner matrices
    2021/12/27 by Cipolloni, Giorgio, Erdős, László, Schröder, Dominik · 2 citations
    #15B52 #60B20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  10. 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
  11. The Dissipative Spectral Form Factor for I.I.D. Matrices
    2023/06/28 by Cipolloni, Giorgio, Grometto, Nicolo · 2 citations
    #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Physics (quant-ph)
  12. Central Limit Theorem for Linear Eigenvalue Statistics of non-Hermitian\n Random Matrices
    2019/12/09 by Giorgio Cipolloni, Cipolloni, Giorgio, László Erdős +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
  13. Maximum of the Characteristic Polynomial of I.I.D. Matrices
    2024/05/08 by Cipolloni, Giorgio, Landon, Benjamin · 3 citations
    #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  14. 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
  15. On the condition number of the shifted real Ginibre ensemble
    2021/05/28 by Giorgio Cipolloni, Cipolloni, Giorgio, László Erdős +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
  16. 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
  17. On the rightmost eigenvalue of non-Hermitian random matrices
    2022/06/09 by Cipolloni, Giorgio, Erdős, László, Schröder, Dominik +1 · 1 citation
    #15B52 #60B20 #FOS: Mathematics #Probability (math.PR)
  18. Eigenvector decorrelation for random matrices
    2024/10/14 by Giorgio Cipolloni, László Erdős, Cipolloni, Giorgio +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
  19. 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
  20. Fluctuations of eigenvector overlaps and the Berry conjecture for Wigner matrices
    2022/12/20 by Benigni, Lucas, Cipolloni, Giorgio · 1 citation
    #15B52 #60B20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  21. Decorrelation transition in the Wigner minor process
    2025/03/09 by Bao, Zhigang, Cipolloni, Giorgio, Erdős, László +2 · 2 citations
    #60B20 #60G55 #82C10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  22. Fluctuations for non-Hermitian dynamics
    2024/09/04 by Paul Bourgade, Bourgade, Paul, Giorgio Cipolloni +3 · 1 citation
    Physics and Astronomy · Chemistry · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Molecular spectroscopy and chirality
  23. Law of fractional logarithm for random matrices
    2025/03/24 by Bao, Zhigang, Cipolloni, Giorgio, Erdős, László +2 · 2 citations
    #60B20 #60G55 #82C10 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)