On exit laws for semigroups in weak duality
Let be a measurable semigroup and a -finite positive measure on a Lusin space . An -exit law for is a family of nonnegative measurable functions on which are finite -a.e. and satisfy for each -a.e. An excessive function is said to be in if there exits an -exit law for such that , -a.e. Let be the cone of -purely excessive functions with respect to and be the cone of -potential functions. It is clear that . In this paper we are...