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

Panki Kim, Renming Song, Zoran Vondracek

• 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 ∞ 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.