112 citations · 441 across the 71 of their papers we have counts for
5 papers · 2 filters
New applications of Arak's inequalities to the Littlewood-Offord problem
Friedrich Götze, Andrei Yu. Zaitsev
Let be independent identically distributed random variables. In this paper we study the behavior of concentration functions of weighted sums $\sum_{k=1}^{n}X_ka_…
Correlations between real and complex zeros of a random polynomial
Friedrich Götze, Denis Koleda, Dmitry Zaporozhets
Consider a random polynomial where are independent real-valued random variables with probability densi…
Rényi divergence and the central limit theorem
S. G. Bobkov, G. P. Chistyakov, F. Götze
We explore properties of the and more general Rényi (Tsallis) distances to the normal law. In particular we provide necessary and sufficient conditions for the convergence to…
Second Order Concentration via Logarithmic Sobolev Inequalities
Friedrich Götze, Holger Sambale
We show sharpened forms of the concentration of measure phenomenon centered at first order stochastic expansions. The bound are based on second order difference operators and secon…
On the Local Semicircular Law for Wigner Ensembles
Friedrich Götze, Alexey Naumov, Alexander Tikhomirov +1
We consider a random symmetric matrix with upper triangular entries being i.i.d. random variables with mean zero and unit variance. We additionally s…