From the 1 of 7 linked papers with an AI index.
7 papers
Asymptotics of transition densities for Lévy processes with stochastic resetting
Kacper Budnik, Tomasz Grzywny, PaweÅ Sztonyk
The paper derives an explicit formula for the distribution of Lévy processes that undergo stochastic resetting and studies how their transition densities behave asymptotically.
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…
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…
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…
Liouville's theorems for Lévy operators
Tomasz Grzywny, Mateusz KwaÅnicki
Let be a Lévy operator. A function is said to be harmonic with respect to if in an appropriate sense. We prove Liouville's theorem for positive functions har…
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…