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Universality of Wigner random matrices: a survey of recent results
This is a study of the universality of spectral statistics for large random matrices. Considered
are symmetric, Hermitian, or quaternion self-dual random matrices with independent …
are symmetric, Hermitian, or quaternion self-dual random matrices with independent …
[ספר][B] A dynamical approach to random matrix theory
A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York
University This book is a concise and self-contained introduction of recent techniques to …
University This book is a concise and self-contained introduction of recent techniques to …
[ספר][B] Eigenvalue distribution of large random matrices
LA Pastur, M Shcherbina - 2011 - books.google.com
Random matrix theory is a wide and growing field with a variety of concepts, results, and
techniques and a vast range of applications in mathematics and the related sciences. The …
techniques and a vast range of applications in mathematics and the related sciences. The …
[ספר][B] Random operators
M Aizenman, S Warzel - 2015 - books.google.com
This book provides an introduction to the mathematical theory of disorder effects on quantum
spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics …
spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics …
Universality of extremal eigenvalues of large random matrices
We prove that the spectral radius of a large random matrix $ X $ with independent,
identically distributed complex entries follows the Gumbel law irrespective of the distribution …
identically distributed complex entries follows the Gumbel law irrespective of the distribution …
[HTML][HTML] Eigenvectors of random matrices: a survey
Eigenvectors of random matrices: A survey - ScienceDirect Skip to main contentSkip to article
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Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
Random band matrices in the delocalized phase, I: Quantum unique ergodicity and universality
Consider $ N\times N $ symmetric one-dimensional random band matrices with general
distribution of the entries and band width $ W\geq N^{3/4+\varepsilon} $ for any …
distribution of the entries and band width $ W\geq N^{3/4+\varepsilon} $ for any …
Universality of local spectral statistics of random matrices
The Wigner-Dyson-Gaudin-Mehta conjecture asserts that the local eigenvalue statistics of
large random matrices exhibit universal behavior depending only on the symmetry class of …
large random matrices exhibit universal behavior depending only on the symmetry class of …
Delocalization and diffusion profile for random band matrices
We consider Hermitian and symmetric random band matrices H=(h xy) in d\,\geqslant\, 1 d⩾
1 dimensions. The matrix entries h xy, indexed by x, y ∈ (Z/LZ)^ dx, y∈(Z/LZ) d, are …
1 dimensions. The matrix entries h xy, indexed by x, y ∈ (Z/LZ)^ dx, y∈(Z/LZ) d, are …
Entanglement transition and heterogeneity in long-range quadratic Lindbladians
The generation of entanglement in mixed states is relevant to quantum systems coupled to
an environment. The dissipative and mixing properties of the environment are unavoidable …
an environment. The dissipative and mixing properties of the environment are unavoidable …