Pregled bibliografske jedinice broj: 948631
Harnack Inequality for Subordinate Random Walks
Harnack Inequality for Subordinate Random Walks // Journal of theoretical probability, 32 (2019), 2; 737-764 doi:10.1007/s10959-018-0821-5 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 948631 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Harnack Inequality for Subordinate Random Walks
Autori
Mimica, Ante ; Šebek, Stjepan
Izvornik
Journal of theoretical probability (0894-9840) 32
(2019), 2;
737-764
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Random walk, Subordination, Harnack inequality, Harmonic function, Green function, Poisson kernel
Sažetak
In this paper, we consider a large class of subordinate random walks X on the integer lattice Z^d via subordinators with Laplace exponents which are complete Bernstein functions satisfying some mild scaling conditions at zero. We establish estimates for one-step transition probabilities, the Green function and the Green function of a ball, and prove the Harnack inequality for nonnegative harmonic functions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-3526 - Stohastičke metode u analitičkim i primijenjenim problemima (SMAAP) (Vondraček, Zoran, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
