13 citations · 34 across the 12 of their papers we have counts for
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math.DS2019★ 3 cited
Invariant probabilities for discrete time Linear Dynamics via Thermodynamic Formalism
Artur O. Lopes, Ali Messaoudi, M. Stadlbauer +1
We show the existence of invariant ergodic -additive probability measures with full support on for a class of linear operators , where is a weighted shift op…
math.DS2019★ 4 cited
The Ruelle operator for symmetric -shifts
Artur O. Lopes, Victor Vargas
Consider and . Assume that can be represented in base using a development in series …
math.DS2019★ 6 cited
Gibbs States and Gibbsian Specifications on the space
Artur O. Lopes, Victor Vargas
We are interested in the study of Gibbs and equilbrium probabilities on the lattice . Consider the unilateral full-shift defined on the non-compact set $\m…