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Some Examples of Unique Equilibrium States and Measures of Maximal Entropy

Description:

We prove the uniqueness of equilibrium states for certain potentials satisfying the Bowen property for two flows related to geodesic flows on surfaces with sufficient hyperbolicity. Our first result is the uniqueness of equilibrium states for Hölder continuous potentials and the geometric potential for products of geodesic flows of rank...

Keyword:

conjugate points, hyberbolic dynamics, measure of maximal entropy, geodesic flow, equilibrium state, and thermodynamic formalism

Subject:

Mathematics

Creator:

McEnroe, Rachel Maxine

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

10/07/2021

Date Created:

2021-01-01

Resource Type:

Dissertation

Alternate Identifier:

http://dissertations.umi.com/northwestern:15743 and etdadmin_upload_844617