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Free energies as invariants of Teichmüller like structures

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Author(s): A. Mesón | F. Vericat

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXII;
Issue: 1;
Start page: 1;
Date: 2013;
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Keywords: Free energy | circle map | Teichmü ller space.

ABSTRACT
A Teichmüller like structure on the space of d-degree holomorphic maps on the circle S1, marked by conjugations to the map z $mapsto$ zd, can be defined. Here we introduce a definition of free energy associated to this kind of dynamics as an invariant of equivalence classes in the Teichmüller space. This quantity encodes a length spectrum of rotation cycles in S1.
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