37 citations · 134 across the 8 of their papers we have counts for
8 papers
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…
Modified log-Sobolev inequalities and two-level concentration
Holger Sambale, Arthur Sinulis
We consider a generic modified logarithmic Sobolev inequality (mLSI) of the form for some difference operator , and s…
Concentration inequalities for polynomials in -sub-exponential random variables
Friedrich Götze, Holger Sambale, Arthur Sinulis
In this work we derive multi-level concentration inequalities for polynomial functions in independent random variables with a -sub-exponential tail decay. A particularly interes…
Fluctuation results for general block spin Ising models
Holger Knöpfel, Matthias Löwe, Kristina Schubert +1
We study a block spin mean-field Ising model, i.e. a model of spins in which the vertices are divided into a finite number of blocks with each block having a fixed proportion of ve…
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…