标题
How much can the eigenvalues of a random Hermitian matrix fluctuate?
作者
关键词
-
出版物
DUKE MATHEMATICAL JOURNAL
Volume 170, Issue 9, Pages -
出版商
Duke University Press
发表日期
2021-05-19
DOI
10.1215/00127094-2020-0070
参考文献
相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。- Multiplicative chaos and the characteristic polynomial of the CUE: The $L^1$-phase
- (2020) Miika Nikula et al. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- Maximum of the Characteristic Polynomial for a Random Permutation Matrix
- (2020) Nicholas Cook et al. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
- Statistics of Extremes in Eigenvalue-Counting Staircases
- (2020) Yan V. Fyodorov et al. PHYSICAL REVIEW LETTERS
- Maximum of the Characteristic Polynomial of the Ginibre Ensemble
- (2020) Gaultier Lambert COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Imaginary multiplicative chaos: Moments, regularity and connections to the Ising model
- (2020) Janne Junnila et al. ANNALS OF APPLIED PROBABILITY
- Quantitative normal approximation of linear statistics of $\beta$-ensembles
- (2019) Gaultier Lambert et al. ANNALS OF PROBABILITY
- Small Gaps of GOE
- (2019) Renjie Feng et al. GEOMETRIC AND FUNCTIONAL ANALYSIS
- Full extremal process, cluster law and freezing for the two-dimensional discrete Gaussian Free Field
- (2018) Marek Biskup et al. ADVANCES IN MATHEMATICS
- Subcritical Multiplicative Chaos for Regularized Counting Statistics from Random Matrix Theory
- (2018) Gaultier Lambert et al. COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Asymptotics of Hankel Determinants With a One-Cut Regular Potential and Fisher–Hartwig Singularities
- (2018) Christophe Charlier INTERNATIONAL MATHEMATICS RESEARCH NOTICES
- The law of large numbers for the maximum of almost Gaussian log-correlated fields coming from random matrices
- (2018) Gaultier Lambert et al. PROBABILITY THEORY AND RELATED FIELDS
- The Generating Function for the Airy Point Process and a System of Coupled Painlevé II Equations
- (2018) Tom Claeys et al. STUDIES IN APPLIED MATHEMATICS
- Tracy–Widom Distributions in Critical Unitary Random Matrix Ensembles and the Coupled Painlevé II System
- (2018) Shuai-Xia Xu et al. COMMUNICATIONS IN MATHEMATICAL PHYSICS
- On the maximum of the C $\beta$ E field
- (2018) Reda Chhaibi et al. DUKE MATHEMATICAL JOURNAL
- The maximum deviation of the $\text{Sine} _\beta $ counting process
- (2018) Diane Holcomb et al. ELECTRONIC COMMUNICATIONS IN PROBABILITY
- The Maximum of the CUE Field
- (2017) Elliot Paquette et al. INTERNATIONAL MATHEMATICS RESEARCH NOTICES
- On the extreme values of the Riemann zeta function on random intervals of the critical line
- (2017) Joseph Najnudel PROBABILITY THEORY AND RELATED FIELDS
- Random Hermitian matrices and Gaussian multiplicative chaos
- (2017) Nathanaël Berestycki et al. PROBABILITY THEORY AND RELATED FIELDS
- Conformal weldings of random surfaces: SLE and the quantum gravity zipper
- (2016) Scott Sheffield ANNALS OF PROBABILITY
- Fractional Brownian motion with Hurst index $H=0$ and the Gaussian Unitary Ensemble
- (2016) Y. V. Fyodorov et al. ANNALS OF PROBABILITY
- Hankel Determinant and Orthogonal Polynomials for a Gaussian Weight with a Discontinuity at the Edge
- (2016) A. Bogatskiy et al. COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Maximum of the Characteristic Polynomial of Random Unitary Matrices
- (2016) Louis-Pierre Arguin et al. COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Moments of the Position of the Maximum for GUE Characteristic Polynomials and for Log-Correlated Gaussian Processes
- (2016) Yan V. Fyodorov et al. JOURNAL OF STATISTICAL PHYSICS
- On the distribution of the maximum value of the characteristic polynomial of GUE random matrices
- (2016) Y V Fyodorov et al. NONLINEARITY
- Universality for general Wigner-type matrices
- (2016) Oskari H. Ajanki et al. PROBABILITY THEORY AND RELATED FIELDS
- Random Matrices with Merging Singularities and the Painlevé V Equation
- (2016) Tom Claeys et al. Symmetry Integrability and Geometry-Methods and Applications
- Maximum of a log-correlated Gaussian field
- (2015) Thomas Madaule ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES
- Fixed Energy Universality for Generalized Wigner Matrices
- (2015) Paul Bourgade et al. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
- Toeplitz determinants with merging singularities
- (2015) T. Claeys et al. DUKE MATHEMATICAL JOURNAL
- The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos - The $L^2$-phase
- (2015) Christian Webb ELECTRONIC JOURNAL OF PROBABILITY
- Edge Universality of Beta Ensembles
- (2014) Paul Bourgade et al. COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Extreme gaps between eigenvalues of random matrices
- (2013) Gérard Ben Arous et al. ANNALS OF PROBABILITY
- Spectral statistics of Erdős–Rényi graphs I: Local semicircle law
- (2013) László Erdős et al. ANNALS OF PROBABILITY
- Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results
- (2013) Percy Deift et al. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
- Freezing transitions and extreme values: random matrix theory, and disordered landscapes
- (2013) Y. V. Fyodorov et al. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
- Random conformal weldings
- (2012) Kari Astala et al. ACTA MATHEMATICA
- Counting Function Fluctuations and Extreme Value Threshold in Multifractal Patterns: The Case Study of an Ideal 1/f Noise
- (2012) Yan V. Fyodorov et al. JOURNAL OF STATISTICAL PHYSICS
- Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta Function
- (2012) Yan V. Fyodorov et al. PHYSICAL REVIEW LETTERS
- Rigidity of eigenvalues of generalized Wigner matrices
- (2011) László Erdős et al. ADVANCES IN MATHEMATICS
- Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
- (2011) Percy Deift et al. ANNALS OF MATHEMATICS
- Emergence of a singularity for Toeplitz determinants and Painlevé V
- (2011) T. Claeys et al. DUKE MATHEMATICAL JOURNAL
- Painlevé XXXIV Asymptotics of Orthogonal Polynomials for the Gaussian Weight with a Jump at the Edge
- (2011) Shuai-Xia Xu et al. STUDIES IN APPLIED MATHEMATICS
- Asymptotics of Orthogonal Polynomials for a Weight with a Jump on [−1,1]
- (2010) A. Foulquié Moreno et al. CONSTRUCTIVE APPROXIMATION
- Universality of random matrices and local relaxation flow
- (2010) László Erdős et al. INVENTIONES MATHEMATICAE
- Liouville quantum gravity and KPZ
- (2010) Bertrand Duplantier et al. INVENTIONES MATHEMATICAE
- Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
- (2009) László Erdős et al. ANNALS OF PROBABILITY
- Freezing and extreme-value statistics in a random energy model with logarithmically correlated potential
- (2008) Yan V Fyodorov et al. Journal of Physics A-Mathematical and Theoretical
Publish scientific posters with Peeref
Peeref publishes scientific posters from all research disciplines. Our Diamond Open Access policy means free access to content and no publication fees for authors.
Learn MoreCreate your own webinar
Interested in hosting your own webinar? Check the schedule and propose your idea to the Peeref Content Team.
Create Now