Developing connections between dimension and the sub-additive thermodynamic formalism.

Lead Research Organisation: University of Bristol
Department Name: Mathematics

Abstract

The sub-additive thermodynamic formalism is a tool which has been developed mainly for the study of the dimension theory for non-conformal systems. Recently there has been a lot of development in this area for self-affine sets and measures. The aim of this project will be to try to use and develop these techniques for more general non- conformal systems. The initial object of study will be the Rauzy gasket which is closely related to self-affine systems but is not strictly self-affine. The aim will be to study the subadditive thermodynamic formalism for the Rauzy gasket.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509619/1 01/10/2016 30/09/2021
1939357 Studentship EP/N509619/1 18/09/2017 21/06/2021 Alec Chamberlain Cann