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 |
| Alec Chamberlain Cann (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/N509619/1 | 30/09/2016 | 29/09/2021 | |||
| 1939357 | Studentship | EP/N509619/1 | 30/09/2017 | 13/03/2023 | Alec Chamberlain Cann |
| EP/R513179/1 | 30/09/2018 | 29/09/2023 | |||
| 1939357 | Studentship | EP/R513179/1 | 30/09/2017 | 13/03/2023 | Alec Chamberlain Cann |
| NE/W503174/1 | 31/03/2021 | 30/03/2022 | |||
| 1939357 | Studentship | NE/W503174/1 | 30/09/2017 | 13/03/2023 | Alec Chamberlain Cann |