Transition probability estimates for subordinate random walks

Wojciech Cygan, Stjepan Sebek

Publikation: ArbeitspapierPreprint

Abstract

Let Sn be the simple random walk on the integer lattice Zd. For a Bernstein function Φ we consider a random walk SΦn which is subordinated to Sn. Under a certain assumption on the behaviour of Φ at zero we establish global estimates for the transition probabilities of the random walk Sn. The main tools that we apply are the parabolic Harnack inequality and appropriate bounds for the transition kernel of the corresponding continuous time random walk.
Originalspracheenglisch
Seitenumfang34
PublikationsstatusVeröffentlicht - 25 Feb. 2020

Publikationsreihe

NamearXiv.org e-Print archive
Herausgeber (Verlag)Cornell University Library

ASJC Scopus subject areas

  • Mathematik (insg.)

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