Free energies as invariants of Teichmüller like structures

A Teichmüller like structure on the space of d-degree holomorphic maps on the circle S1, marked by conjugations to the map z 7→ z d, 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...

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Detalles Bibliográficos
Autores principales: Mesón, Alejandro Mario, Vericat, Fernando
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/101332
https://ri.conicet.gov.ar/11336/23660
http://www.iam.fmph.uniba.sk/amuc/_vol-82/_no_1/_vericat/vericat.html
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Sumario:A Teichmüller like structure on the space of d-degree holomorphic maps on the circle S1, marked by conjugations to the map z 7→ z d, 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.