skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Ergodic decomposition for measures quasi-invariant under a Borel action of an inductively compact group

Journal Article · · Sbornik. Mathematics
 [1]
  1. Steklov Mathematical Institute of the Russian Academy of Sciences (Russian Federation)

The aim of this paper is to prove ergodic decomposition theorems for probability measures which are quasi-invariant under Borel actions of inductively compact groups as well as for σ-finite invariant measures. For infinite measures the ergodic decomposition is not unique, but the measure class of the decomposing measure on the space of projective measures is uniquely defined by the initial invariant measure. Bibliography: 21 titles.

OSTI ID:
22365740
Journal Information:
Sbornik. Mathematics, Vol. 205, Issue 2; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

Similar Records

Invariant Measure for Diffusions with Jumps
Journal Article · Fri Jan 15 00:00:00 EST 1999 · Applied Mathematics and Optimization · OSTI ID:22365740

On algebraic properties of topological full groups
Journal Article · Sun Jun 01 00:00:00 EDT 2014 · Sbornik. Mathematics · OSTI ID:22365740

Fourier-Borel Transforms in Clifford Analysis and the Dual Fischer Decomposition
Journal Article · Mon Sep 01 00:00:00 EDT 2008 · AIP Conference Proceedings · OSTI ID:22365740