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 quasi-finite null-excessive 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