Naslov
Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces

Autori
Kim, Panki ; Song, Renming ; Vondraček, Zoran

Izvornik
Revista matematica iberoamericana (0213-2230) 34 (2018), 2; 541-592

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Martin boundary, Martin kernel, purely discontinuous Feller process, minimal thinness

Sažetak
In this paper we study the Martin boundary at infinity for a large class of purely discontinuous Feller processes in metric measure spaces. We show that if $\infty$ is accessible from an open set $D$, then there is only one Martin boundary point of $D$ associated with it, and this point is minimal. We also prove the analogous result for finite boundary points. As a consequence, we show that minimal thinness of a set is a local property.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA