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We study the scaling function of a C1+h expanding circle endomorphism. We find necessary and sucient conditions for a Holder continuous function on the dual symbolic space to be realized as the scaling function of a C1+h expanding circle endomorphism. We further represent the Teichmuller space of C1+h expanding circle endomorphisms by the space of Holder continuous functions on the dual symbolic space satisfying our necessary and sucient conditions and study the completion of this Teichmuller space in the universal

Scaling functions and Gibbs measures and Teichmüller spaces of circle endomorphisms