Non-singular actions of countable groups

  • Kieran Jarrett

Student thesis: Doctoral ThesisPhD

Abstract

In this thesis we study actions of countable groups on measure spaces underthe assumption that the dynamics are non-singular, with particular reference topointwise ergodic theorems and their relationship to the critical dimensions ofthe action.
Date of Award14 Aug 2018
Original languageEnglish
Awarding Institution
  • University of Bath
SupervisorAnthony Dooley (Supervisor), Alastair Craw (Advisor) & Veronique Fischer (Advisor)

Keywords

  • Ergodic Theory
  • Group actions
  • Non-singular
  • Ergodic Theorem
  • Critical dimensions
  • Heisenberg group

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