Hyperbolic dynamical systems and Markov chains

Lead Research Organisation: University of Manchester
Department Name: Mathematics

Abstract

This project studies the measure-valued Markov chains on hyperbolic dynamical systems, in particular the conditional probability measure process on self-conformal iterated function systems. Topics include local entropy averages, projections and slices, as well as fractal percolations. The project involves with compact group extension theory for Dynamical Systems, Markov chains for Probability Theory and dimension theory for Fractal Geometry.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509565/1 01/10/2016 30/09/2021
1782484 Studentship EP/N509565/1 12/09/2016 31/03/2020 Catherine Elizabeth Bruce