A. Sinulis

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20182020

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Showing 2019Show all

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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.PR2019

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…

Modified log-Sobolev inequalities and two-level concentration

Concentration inequalities for polynomials in α-sub-exponential random variables

Fluctuation results for general block spin Ising models

Concentration inequalities for polynomials in $α$ -sub-exponential random variables