Bijective and General Arithmetic Codings for Pisot Automorphisms of the Torus *
نویسنده
چکیده
Let T be an algebraic automorphism of Tm having the following property: the characteristic polynomial of its matrix is irreducible over Q, and a Pisot number β is one of its roots. We define the mapping φt acting from the twosided β-compactum onto Tm as follows: φt(ε̄) = ∑
منابع مشابه
Bijective and General Arithmetic Codings for Pisot Toral Automorphisms
Let T be an algebraic automorphism of Tm having the following property: the characteristic polynomial of its matrix is irreducible over Q, and a Pisot number β is one of its roots. We define the mapping φt acting from the twosided β-compactum onto Tm as follows: φt(ε̄) = ∑ k∈Z εkT −kt, where t is a fundamental homoclinic point for T , i.e., a point homoclinic to 0 such that the linear span of it...
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