UVictoria Probability and Dynamics Seminar: Carlos Gustavo Reyes

Bounded density shifts are examples of hereditary subshifts. Bounded density shifts are defined by disallowing words whose sum of entries exceeds a value depending on the length of the word. After presenting some examples and reviewing the concepts of topological entropy and measure-theoretic entropy, we will provide sufficient conditions for bounded density shifts to have a unique measure of maximal entropy.

This is a joint work with Felipe García-Ramos and Ronnie Pavlov.