12 citations · 26 across the 9 of their papers we have counts for
5 papers · 1 filter
Subshifts and colorings on ascending HNN-extensions of finitely generated abelian groups
Eduardo Silva
For an ascending HNN-extension of a finitely generated abelian group , we study how a synchronization between the geometry of the group and weak periodicity of a configur…
On the Dimension of the Space of Harmonic Functions on Transitive Shift Spaces
L. Cioletti, L. Melo, R. Ruviaro +1
In this paper, we show a new relation between phase transition in one-dimensional Statistical Mechanics and the multiplicity of the dimension of the space of harmonic functions for…
Random iterations of maps on : asymptotic stability, synchronization and functional central limit theorem
Edgar Matias, Eduardo Silva
We study independent and identically distributed random iterations of continuous maps defined on a connected closed subset of the Euclidean space . We assume th…
Spectral Properties of the Ruelle Operator on the Walters Class over Compact Spaces
Leandro Cioletti, Eduardo A. Silva
Recently the Ruelle-Perron-Fröbenius theorem was proved for Hölder potentials defined on the symbolic space , where (the alphabet) is any compact metric space…
The Analyticity of a Generalized Ruelle's Operator
Eduardo Antonio da Silva, Raderson Rodrigues da Silva, Rafael Rigao Souza
In this work we propose a generalization of the concept of Ruelle operator for one dimensional lattices used in thermodynamic formalism and ergodic optimization, which we call gene…