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6 - Measure-Theoretic Entropy

from Part I - Ergodic Theory and Geometric Measures

Published online by Cambridge University Press:  20 April 2023

Janina Kotus  and
Mariusz Urbański
Janina Kotus
Affiliation:
Warsaw University of Technology
Mariusz Urbański
Affiliation:
University of North Texas
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Summary

In this chapter, we collect and prove basic concepts and theorems of classical thermodynamic formalism. This includes topological pressure, variational principle, and equilibrium states. We provide several illustrating examples.

Keywords

Thermodynamic formalismtopological pressurevariational principleequilibrium states
Type
Chapter
Information
Meromorphic Dynamics
Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures
 , pp. 160 - 191
Publisher: Cambridge University Press
Print publication year: 2023

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