86 citations · 347 across the 33 of their papers we have counts for
44 papers
Asymptotics of transition densities for Lévy processes with stochastic resetting
Kacper Budnik, Tomasz Grzywny, Paweł Sztonyk
We derive an explicit representation for the distribution of a Lévy process with total stochastic resetting and use it to investigate the asymptotic behaviour of the corresponding…
Partial versus total resetting for Lévy flights in d dimensions: similarities and discrepancies
Costantino Di Bello, Aleksei Chechkin, Tomasz Grzywny +3
While stochastic resetting (or total resetting) is less young and more established concept in stochastic processes, partial stochastic resetting (PSR) is a relatively new field. PS…
Stationary states for stable processes with partial resetting
Tomasz Grzywny, Karol Szczypkowski, Zbigniew Palmowski +1
We study a -dimensional stochastic process which arises from a Lévy process by partial resetting, that is the position of the process at a…
Alexandrov Theorem for nonlocal curvature
Wojciech Cygan, Tomasz Grzywny
In this article we obtain a nonlocal version of the Alexandrov Theorem which asserts that the only set with sufficiently smooth boundary and of constant nonlocal mean curvature is…
Hardy inequalities and nonlocal capacity
Tomasz Grzywny, Julia Lenczewska
In this article, we introduce and study capacities related to nonlocal Sobolev spaces, with focus on spaces corresponding to zero-order nonlocal operators. In particular, we prove…
Asymptotics and geometric flows for a class of nonlocal curvatures
Wojciech Cygan, Tomasz Grzywny, Julia Lenczewska
We consider a family of nonlocal curvatures determined through a kernel which is symmetric and bounded from above by a radial and radially non-increasing profile satisfying an inte…