Título
Constant-length random substitutions and gibbs measures
Autor
Maldonado Ahumada, César Octavio
Trejo Valencia, Liliana
Ugalde, Edgardo
Resumen
"This work is devoted to the study of processes generated by random substitutions over a finite alphabet. We prove, under mild conditions on the substitutions rule, the existence of a unique process which remains invariant under the substitution, and which exhibits a polynomial decay of correlations. For constant-length substitutions, we go further by proving that the invariant state is precisely a Gibbs measure which can be obtained as the projective limit of its natural Markovian approximations. We end up the paper by studying a class of substitutions whose invariant state is the unique Gibbs measure for a hierarchical two-body interaction."
Fecha de publicación
2018Tipo de publicación
articleDOI
https://doi.org/10.1007/s10955-018-2010-4Área de conocimiento
MATEMÁTICASEditor
SpringerPalabras clave
Gibbs measuresRandom substitutions
Projective convergence