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math.DS2020
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…
math.DS2017
The Double Transpose of the Ruelle Operator
L. Cioletti, A. C. D. van Enter, R. Ruviaro
In this paper we study the double transpose of the -extensions of the Ruelle transfer operator associated to a general real continuous po…
math.DS2017
A Variational Principle for the Specific Entropy for Symbolic Systems with Uncountable Alphabets
D. Aguiar, L. Cioletti, R. Ruviaro
In this paper we derived a variational principle for the specific entropy on the context of symbolic dynamics of compact metric space alphabets and use this result to obtain the un…