Eric Fink PhD Defense-Markov Partitions & Sofic Codings for Anosov Diffeomorphisms of Nilmanifolds
- Tuesday, June 30, 2020 from 4:10pm to 5:00pm
- Online Presentation - Zoom
Eric Fink will be defending his PhD dissertation on Tuesday June 30th at 4:10--5:00pm. It will be held remotely via Zoom:
Meeting ID: 830 5874 7562
Title: "Markov Partitions and Sofic Codings for Anosov Diffeomorphisms of Nilmanifolds"
Abstract: "Given an Anosov diffeomorphism of a compact manifold, existence of a Markov partition and the associated conjugate symbolic dynamical system has been known for over fifty years by a celebrated result of Sinai, subsequently extended by Bowen. Building upon the work done by many authors in the context of hyperbolic toral automorphisms, we give an explicit arithmetic construction of sofic codings and Markov partitions for Anosov diffeomorphisms of nilmanifolds. Arising as quotients of nilpotent Lie groups by discrete and co-compact subgroups (lattices), nilmanifolds are conjecturally the only manifolds admitting Anosov diffeomorphisms, up to a finite covering."
- Department of Mathematical Sciences