Minimal thinness with respect to subordinate killed Brownian motions

Panki Kim, Renming Song, Zoran Vondraček

Research output: Contribution to journalArticlepeer-review

Abstract

Minimal thinness is a notion that describes the smallness of a set at a boundary point. In this paper, we provide tests for minimal thinness for a large class of subordinate killed Brownian motions in bounded C1,1 domains, C1,1 domains with compact complements and domains above graphs of bounded C1,1 functions.

Original languageEnglish (US)
Pages (from-to)1226-1263
Number of pages38
JournalStochastic Processes and their Applications
Volume126
Issue number4
DOIs
StatePublished - Apr 2016

Keywords

  • Censored stable processes
  • Green function
  • Killed subordinate Brownian motions
  • Martin kernel
  • Minimal thinness
  • Quasi-additivity
  • Subordinate killed Brownian motions
  • Transition density
  • Wiener-type criterion

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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