112 citations · 441 across the 71 of their papers we have counts for
78 papers
Smallest gaps between zeros of stationary Gaussian processes
Renjie Feng, Friedrich Götze, Dong Yao
In this paper, we study the smallest gaps between successive zeros of nondegenerate smooth stationary centered Gaussian processes on the real line with the assumption that the cova…
Rényi Divergences in Central Limit Theorems: Old and New
S. G. Bobkov, G. P. Chistyakov, F. Götze
We give an overview of various results and methods related to information-theoretic distances of Rényi type in the light of their applications to the central limit theorem (CLT). T…
Strictly subgaussian probability distributions
S. G. Bobkov, G. P. Chistyakov, F. Götze
We explore the class of probability distributions on the real line whose Laplace transform admits a strong upper bound of subgaussian type. Using Hadamard's factorization theorem,…
Local Laws for Sparse Sample Covariance Matrices without the truncation condition
F. Götze, A. Tikhomirov, D. Timushev
We consider sparse sample covariance matrices , where is a sparse matrix of order with the sparse probability . We pr…
Higher order concentration on Stiefel and Grassmann manifolds
Friedrich Götze, Holger Sambale
We prove higher order concentration bounds for functions on Stiefel and Grassmann manifolds equipped with the uniform distribution. This partially extends previous work for functio…
Richter's local limit theorem,its refinement,and related results
Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze
We give a detailed exposition of the proof of Richter's local limit theorem in a refined form, and establish the stability of the remainder term in this theorem under small perturb…