Palestras e Seminários
19/06/2026
11:00
sala 3-012
Palestrante: Thiago Raszeja
Responsável: Lucas C. P. A. M. Müssnich (lucas.mussnich@alumni.usp.br)
Resumo: In this talk, I will present a local compactification of the Markov shift spaces that depends only on the transition matrix and has finite words as new elements. This space arises from the Exel-Laca algebras as the spectrum of its maximal abelian subalgebra (MASA). In this setting, new conformal and eigenmeasures were discovered via the construction of the generalized thermodynamic formalism, and a new type of phase transition, namely, a length-type phase transition, where the eigenmeasure passes the full mass of the space from the standard shift to its complement. If we have time, I will discuss the KMS-states side of the theory and a very recent result concerning the continuous extension of the shift space to the whole space.
Joint works with Rodrigo Bissacot (USP), I. Díaz-Granados (USP), Ruy Exel (UFSC), Rodrigo Frausino (UoW).