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.
Organisations
People |
ORCID iD |
Thomas Jordan (Primary Supervisor) | |
Alec Chamberlain Cann (Student) |