37 citations · 137 across the 20 of their papers we have counts for
4 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…
Logarithmic Sobolev inequalities for finite spin systems and applications
Holger Sambale, Arthur Sinulis
We derive sufficient conditions for a probability measure on a finite product space (a spin system) to satisfy a (modified) logarithmic Sobolev inequality. We establish these condi…
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…