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math.DS2026
Entropy and semiconjugacy on surfaces
Pablo D. Carrasco, Federico Rodriguez Hertz, Jana Rodriguez Hertz +1
Let be a diffeomorphism in the isotopy class of a pseudo-Anosov homeomorphism such that and have the same topological entropy. In 1988, Handel proved tha…
math.DS2026
Thermodynamic Formalism for Quasimorphisms: Lattices in Higher Rank Semisimple Lie Groups
Pablo D. Carrasco, Federico Rodriguez-Hertz
We give a new proof, based on thermodynamic formalism, of a foundational result of Burger and Monod in bounded cohomology. Let be a noncompact connected semisimple real Lie gro…