Proves structural stability, quasi-compactness of transfer operators with spectral gap, SRB measures as unique equilibrium states for the geometric potential, and Pesin entropy formula for Axiom A diffeomorphisms, yielding the Gibbs Equivalence Theorem via Markov partition coding.
Inventiones Mathematicae9, 121–134
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Transfer Operators and SRB Measures for Axiom A Diffeomorphisms: Spectral Gap, Structural Stability, and the Gibbs Equivalence Theorem
Proves structural stability, quasi-compactness of transfer operators with spectral gap, SRB measures as unique equilibrium states for the geometric potential, and Pesin entropy formula for Axiom A diffeomorphisms, yielding the Gibbs Equivalence Theorem via Markov partition coding.