%0 Journal Article
%T Optimal stopping of strong Markov processes
%A S£¿ren Christensen
%A Paavo Salminen
%A Bao Quoc Ta
%J Mathematics
%D 2012
%I arXiv
%X We characterize the value function and the optimal stopping time for a large class of optimal stopping problems where the underlying process to be stopped is a fairly general Markov process. The main result is inspired by recent findings for L\'evy processes obtained essentially via the Wiener-Hopf factorization. The main ingredient in our approach is the representation of the $\beta$-excessive functions as expected suprema. A variety of examples is given.
%U http://arxiv.org/abs/1203.4726v2