37 citations · 137 across the 20 of their papers we have counts for
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Concentration inequalities on the multislice and for sampling without replacement
Holger Sambale, Arthur Sinulis
We present concentration inequalities on the multislice which are based on (modified) log-Sobolev inequalities. This includes bounds for convex functions and multilinear polynomial…
Large deviations and a phase transition in the Block Spin Potts models
Holger Knöpfel, Matthias Löwe, Holger Sambale
We introduce and analyze a generalization of the blocks spin Ising (Curie-Weiss) models that were discussed in a number of recent articles. In these block spin models each spin in…
Concentration on Poisson spaces via modified -Sobolev inequalities
Anna Gusakova, Holger Sambale, Christoph Thaele
Concentration properties of functionals of general Poisson processes are studied. Using a modified -Sobolev inequality a recursion scheme for moments is established, which is of…
Some notes on concentration for -subexponential random variables
Holger Sambale
We prove extensions of classical concentration inequalities for random variables which have -subexponential tail decay for any . This includes Hanson--Wright type an…