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Veech's Criterion for a process to be prime

Speaker: Jon Chaika

Date: Thu, May 14, 2020

Location: Zoom

Conference: Online working seminar in Ergodic Theory, University of Utah Seminar in Ergodic Theory

Subject: Mathematics

Class: Scientific

Abstract:

This talk will present Veech's criterion for an ergodic probability measure preserving system to be prime. It will define factors of measure preserving systems, prime and self-joinings and provide examples. It uses disintegration of measures, the ergodic decomposition and Haar's Theorem. It will state these results and have examples of disintegration of measures and the ergodic decomposition, but wont discuss their proofs.