126 citations · 375 across the 42 of their papers we have counts for
14 papers · 1 filter
Local tail bounds for polynomials on the discrete cube
Bo'az Klartag, Sasha Sodin
Let be a polynomial of degree in independent Bernoulli random variables which has zero mean and unit variance. The Bonami hypercontractivity bound implies that the probabil…
The density of states of 1D random band matrices via a supersymmetric transfer operator
Margherita Disertori, Martin Lohmann, Sasha Sodin
Recently, T. and M. Shcherbina proved a pointwise semicircle law for the density of states of one-dimensional Gaussian band matrices of large bandwidth. The main step of their proo…
Nonconventional Random Matrix Products
Yuri Kifer, Sasha Sodin
Let be independent identically distributed random variables and be a Borel measurable matrix-valued function. Set $X_n=F(ξ_{q_1(n)},ξ_{q_2…
The KPZ equation and moments of random matrices
Vadim Gorin, Sasha Sodin
The logarithm of the diagonal matrix element of a high power of a random matrix converges to the Cole-Hopf solution of the Kardar-Parisi-Zhang equation in the sense of one-point di…
On the critical points of random matrix characteristic polynomials and of the Riemann -function
Sasha Sodin
A one-parameter family of point processes describing the distribution of the critical points of the characteristic polynomial of large random Hermitian matrices on the scale of mea…
Fluctuations of interlacing sequences
Sasha Sodin
In a series of works published in the 1990-s, Kerov put forth various applications of the circle of ideas centred at the Markov moment problem to the limiting shape of random conti…