O seminário será em inglês.
Speaker: Glauco Valle (IM - UFRJ)
Title: Invariant measures for substitutions on countable alphabets
May 26, from 3:30 p.m. to 4:30 p.m. (Rio de Janeiro local time)
Abstract: We will present results on the existence and uniqueness of shift-invariant measures associated with substitutions in countably infinite alphabets. Specifically, we consider shift dynamical systems associated with irreducible substitutions that have well-established properties in the case of finite alphabets. Based on the properties of a matrix of countable integers related to the substitution, we can obtain results on the invariant measures such as the existence or not of invariant probability measures.
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