H. Sambale

activity

20182022

most citedLarge deviations and a phase transition in the Block Spin Potts models

2 citations · 2 across the 2 of their papers we have counts for

collaborators

9 papers

math.PR2022

Large deviations for uniform projections of $p$ -radial distributions on $ℓ_{p}^{n}$ -balls

Tom Kaufmann, Holger Sambale, Christoph Thäle

We consider products of uniform random variables from the Stiefel manifold of orthonormal $k$ -frames in $R^{n}$ , $k \leq n$ , and random vectors from the $n$ -dimensional $\ell…

math.PR2020

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…

math.PR2020★ 2 cited

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…

math.PR2019

Modified log-Sobolev inequalities and two-level concentration

Holger Sambale, Arthur Sinulis

We consider a generic modified logarithmic Sobolev inequality (mLSI) of the form $Ent_{μ} (e^{f}) \leq \frac{ρ}{2} E_{μ} e^{f} Γ (f)^{2}$ for some difference operator $Γ$ , and s…

math.PR2019

Concentration inequalities for polynomials in $α$ -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 $α$ -sub-exponential tail decay. A particularly interes…

math.PR2018

Concentration inequalities for bounded functionals via generalized log-Sobolev inequalities