An upper bound for the box dimension of the hyperbolic dynamics via unstable pressure
Abstract
In this paper, we utilize the sub-additive unstable pressure to give an upper bound for the upper box dimension of the C1 hyperbolic set on unstable manifolds. As a by-product, we give a new expression of the topological pressure. This work is inspired by FS, WCZ, CliPZ.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.