H
Holger Sambale
Researcher at Bielefeld University
Publications - 29
Citations - 242
Holger Sambale is an academic researcher from Bielefeld University. The author has contributed to research in topics: Sobolev inequality & Concentration of measure. The author has an hindex of 8, co-authored 25 publications receiving 159 citations.
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Concentration inequalities for polynomials in α-sub-exponential random variables
TL;DR: In this paper, a multi-level concentration inequality for polynomials in independent random variables with an α-sub-exponential tail decay was derived, where the Hanson-Wright-type inequalities with explicit dependence on various norms of the matrix A were derived.
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Higher order concentration for functions of weakly dependent random variables
TL;DR: In this article, the authors extend higher order concentration results in the discrete setting to include functions of possibly dependent variables whose distribution (on the product space) satisfies a logarithmic Sobolev inequality with respect to a difference operator that arises from Glauber type dynamics.
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Concentration inequalities for polynomials in $\alpha$-sub-exponential random variables
TL;DR: This work derives multi-level concentration inequalities for polynomial functions in independent random variables with a $\alpha$-sub-exponential tail decay from generalizations of the results given by Rudelson-Vershynin from sub-Gaussian to $\alpha- sub-exp exponential random variables.
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Higher order concentration for functions of weakly dependent random variables
TL;DR: In this article, the authors extend higher order concentration results in the discrete setting to include functions of possibly dependent variables whose distribution on the product space satisfies a logarithmic Sobolev inequality with respect to a difference operator that arises from Gibbs sampler type dynamics.
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Logarithmic Sobolev inequalities for finite spin systems and applications
Holger Sambale,Arthur Sinulis +1 more
TL;DR: In this paper, sufficient conditions for a probability measure on a finite product space (a spin system) to satisfy a (modified) logarithmic Sobolev inequality were derived for various examples, such as the (vertex-weighted) exponential random graph model, the random coloring and the hard core model with fugacity.