Special Session 6: Special session on Fractal Geometry, Dynamical Systems, and Their Applications

Ergodic theory of coded shift spaces: Measures of maximal entropy and equilibrium states

Christian Wolf
The City College of New York
USA
Co-Author(s):    Tamara Kucherenko (CCNY), Martin Schmool (Clemson U.) and Y. Yang (Virginia Tech).
Abstract:
In this talk we discuss recent results concerning the ergodic properties of coded symbolic systems. These systems include S-gap shifts, generalized gap shifts, and Beta-shifts. Specifically we present generalizations of results by V. Climenhaga and R. Pavlov about the uniqueness of measures of maximal entropy and equilibrium states for codes systems. We also re-visit the classical example of the Dyck shift to illustrate our results. The topics discussed in this talk are joint work with T. Kucherenko, M. Schmoll and Y. Yang.