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

次可加热力学形式主要是为研究非共形系统的维数理论而发展起来的。近年来，自仿射集和测度在这一领域有了很大的发展。这个项目的目的将是尝试使用和发展这些技术更一般的非共形系统。最初的研究对象是与自仿射系统密切相关但不是严格自仿射的Rauzy垫片。我们的目标是研究Rauzy垫片的次可加热力学形式。

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.