40 citations · 133 across the 19 of their papers we have counts for
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math.DS2014★ 16 cited
Phase Transitions in One-dimensional Translation Invariant Systems: a Ruelle Operator Approach
Leandro M. Cioletti, Artur O. Lopes
We consider a family of potentials f, derived from the Hofbauer potentials, on the symbolic space Omega=\{0,1\}^\mathbb{N} and the shift mapping acting on it. A Ruelle operator…
math.DS2014
Interactions, Specifications, DLR probabilities and the Ruelle Operator in the One-Dimensional Lattice
Leandro Cioletti, Artur O. Lopes
In this paper, we describe several different meanings for the concept of Gibbs measure on the lattice in the context of finite alphabets (or state space). We compare a…