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

@article{Kim2015AccessibilityMB,
title={Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces},
author={P. Kim and R. Song and Z. Vondravcek},
journal={arXiv: Probability},
year={2015}
}
• Published 2015
• Mathematics
• arXiv: Probability
• In this paper we study the Martin boundary at infinity for a large class of purely discontinuous Feller processes on 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.
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