%0 Journal Article
%T Free energies as invariants of Teichm¨šller like structures
%A A. Mes¨Žn
%A F. Vericat
%J ACTA MATHEMATICA 
UNIVERSITATIS COMENIANAE
%D 2013
%I Acta Mathematica Universitatis Comenianae
%X A Teichm¨šller 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 Teichm¨šller space. This quantity encodes a length spectrum of rotation cycles in S1.
%K Free energy
%K circle map
%K Teichm¨š ller space.
%U http://pc2.iam.fmph.uniba.sk/amuc/_vol-82/_no_1/_vericat/vericat.pdf