56 citations · 199 across the 30 of their papers we have counts for
5 papers · 1 filter
Concentration inequalities for bounded functionals via generalized log-Sobolev inequalities
Friedrich Götze, Holger Sambale, Arthur Sinulis
In this paper we prove multilevel concentration inequalities for bounded functionals of random variables that are either independent or…
Distribution of complex algebraic numbers on the unit circle
Friedrich Götze, Anna Gusakova, Zakhar Kabluchko +1
For denote by the number of algebraic numbers on the unit circle with arguments in of degree and with elliptic height at most…
Rate of Convergence to the Circular Law via Smoothing Inequalities for Log-Potentials
Friedrich Götze, Jonas Jalowy
The aim of this note is to investigate the Kolmogorov distance of the Circular Law to the empirical spectral distribution of non-Hermitian random matrices with independent entries.…
Higher order concentration in presence of Poincaré-type inequalities
Friedrich Götze, Holger Sambale
We show sharpened forms of the concentration of measure phenomenon typically centered at stochastic expansions of order for any . Here we focus on different…
Higher order concentration for functions of weakly dependent random variables
Friedrich Götze, Holger Sambale, Arthur Sinulis
We extend recent higher order concentration results in the discrete setting to include functions of possibly dependent variables whose distribution (on the product space) satisfies…