A point to set principle for topological entropy and applications to relating dimension, entropy, and Lyapunov exponents

Abstract: We prove a point to set principle for topological entropy by extending the orbit complexity framework established by Galatolo, Hoyrup, and Rojas. We use this to establish some classical results in dynamical systems relating dimension, entropy, and Lyapunov exponents, and prove several new dimension formulas in the setting of nonuniformly hyperbolic dynamical systems.

dynamical systemslogicchaotic dynamics

Audience: researchers in the topic

Online logic seminar

Series comments: Description: Seminar on all areas of logic