12 citations · 26 across the 9 of their papers we have counts for
9 papers
Free Burnside groups of large odd exponent have cost 1
Miguel Donoso-Echenique, Eduardo Silva
We prove that for every non-elementary torsion-free hyperbolic group and sufficiently large odd , the quotient has cost . In particular, when is the free gr…
The Poisson boundary of lampshuffler groups
Eduardo Silva
We study random walks on the lampshuffler group , where is a finitely generated group and is the group of finitary permutations of…
Dead ends on wreath products and lamplighter groups
Eduardo Silva
For any finite group and any finitely generated group , we prove that the corresponding lamplighter group admits a standard generating set with unbounded depth, and…
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…
Pressure Derivative on Uncountable Alphabet Setting: a Ruelle Operator Approach
Eduardo A. Silva
In this paper we use a recent version of the Ruelle-Perron-Frobenius Theorem to compute, in terms of the maximal eigendata of the Ruelle operator, the pressure derivative of transl…
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…