Bartlomiej Polaczyk

activity

20182023

most citedModified log-Sobolev inequalities, Beckner inequalities and moment estimates

13 citations · 23 across the 7 of their papers we have counts for

collaborators

Showing 2023 · math.PRShow all

2 papers · 2 filters

math.PR2023

$P$ -log-Sobolev inequalities on $N$

Bartłomiej Polaczyk

We answer an open problem posed by Mossel--Oleszkiewicz--Sen regarding relations between $p$ -log-Sobolev inequalities for $p \in (0, 1]$ . We show that for any interval $I \subset (0, 1]$ …

math.PR2023

Concentration bounds for sampling without replacement and Hoeffding statistics

Bartłomiej Polaczyk

We prove a Bennett-type concentration bound for suprema of empirical processes based on sampling without replacement and a corresponding bound in the case of an arbitrary Hoeffding…

P-log-Sobolev inequalities on N

Concentration bounds for sampling without replacement and Hoeffding statistics

$P$ -log-Sobolev inequalities on $N$