25 citations · 40 across the 5 of their papers we have counts for
12 papers
Boolean functions with small second order influences on the discrete cube
Krzysztof Oleszkiewicz
Motivated by a recent paper of Kevin Tanguy, in which the concept of second order influences on the discrete cube and Gauss space has been investigated in detail, the present note…
Moments of the distance between independent random vectors
Assaf Naor, Krzysztof Oleszkiewicz
We derive various sharp bounds on moments of the distance between two independent random vectors taking values in a Banach space.
Kinetic energy represented in terms of moments of vorticity and applications
Tomasz Cieślak, Krzysztof Oleszkiewicz, Marcin Preisner +1
We study 2d vortex sheets with unbounded support. First we show a version of the Biot- Savart law related to a class of objects including such vortex sheets. Next, we give a formul…
Strong Contraction and Influences in Tail Spaces
Steven Heilman, Elchanan Mossel, Krzysztof Oleszkiewicz
We study contraction under a Markov semi-group and influence bounds for functions in tail spaces, i.e. functions all of whose low level Fourier coefficients vanish. It is nat…
Moment estimates for convex measures
Radosław Adamczak, Olivier Guédon, Rafał Latała +4
Let , $\eps >0$, $r\geq (1+\eps) p$, and be a -concave random vector in with Euclidean norm . We prove that $(\E |X|^{p})^{1/{p}}\leq c (C(\eps) \E…
A short proof of Paouris' inequality
Radosław Adamczak, Rafał Latała, Alexander E. Litvak +3
We give a short proof of a result of G. Paouris on the tail behaviour of the Euclidean norm of an isotropic log-concave random vector , stating that for every $t\ge…