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 …

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 …

We consider N× N symmetric or hermitian random matrices with independent, identically
distributed entries where the probability distribution for each matrix element is given by a …

For low density gases the validity of the Boltzmann transport equation is well established.
The central object is the one-particle distribution function, f, which in the Boltzmann-Grad …

Starting from a stochastic Zakharov-Kuznetsov (ZK) equation on a lattice, the previous work
[ST21] by the last two authors gave a derivation of the homogeneous 3-wave kinetic …

We study crystal dynamics in the harmonic approximation. The atomic masses are weakly
disordered, in the sense that their deviation from uniformity is of the order ϵ. The dispersion …

Starting from the stochastic Zakharov-Kuznetsov equation, a multidimensional KdV type
equation on a hypercubic lattice, we provide a derivation of the 3-wave kinetic equation. We …

We consider random Schrödinger equations on R d for d≽ 3 with a homogeneous Anderson–
Poisson type random potential. Denote by λ the coupling constant and \psi_t the solution …

We consider Hermitian and symmetric random band matrices H in d≥ 1 dimensions. The
matrix elements H xy, indexed by x, y ∈ Λ ⊂ Z^ d, are independent, uniformly distributed …

We study the long time evolution of a quantum particle interacting with a random potential in
the Boltzmann–Grad low density limit. We prove that the phase space density of the …