
Accession Number : ADA111667
Title : Infinite Excessive and Invariant Measures.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CA INST FOR MATHEMATICAL STUDIES IN THE SOCIAL SCIENCES
Personal Author(s) : Taksar,Michael I
PDF Url : ADA111667
Report Date : May 1981
Pagination or Media Count : 35
Abstract : In the paper (Enhancing of Semigroups) the following problem was considered. Given a contraction semigroup T sub t on a Borel space D and an excessive measure nu, when is it possible to find another contraction semigroup approximately T sub t 1 such that approximately T sub t 1 or = T sub t and nu is invariant with respect to approximately T sub t 1. The most restrictive condition under which this problem was solved is the finiteness of the excessive measure nu. This condition excludes such an interesting case as the semigroup T sub t generated by the transition function of Wiener's process and the Lebesque measure nu. In the present paper we extend the results to all quasifinite nullexcessive measures nu.
Descriptors : *Finite element analysis, *Invariance, Functions, Contraction, Transitions, Markov processes, One dimensional, Distribution, Stationary, Infinite series
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE