4 papers · 2 filters
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…
Mixing times of Glauber dynamics via entropy methods
Arthur Sinulis
In this work we prove sufficient conditions for the Glauber dynamics corresponding to a sequence of (non-product) measures on finite product spaces to be rapidly mixing, i.e. that…
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…