Details

Autor(en) / Beteiligte

• Cygan, Wojciech
• Šebek, Stjepan

Titel

Transition probability estimates for subordinate random walks

Ist Teil von

• Mathematische Nachrichten, 2021-03, Vol.294 (3), p.518-558

Ort / Verlag

Weinheim: Wiley Subscription Services, Inc

Erscheinungsjahr

2021

Link zum Volltext

Quelle

Wiley Online Library

Beschreibungen/Notizen

• Let Sn be a symmetric simple random walk on the integer lattice Zd. For a Bernstein function ϕ we consider a random walk Snϕ 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 Snϕ. The main tools that we apply are a parabolic Harnack inequality and appropriate bounds for the transition kernel of the corresponding continuous time random walk.