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Idempotent approach to level-2 variational principles in Thermodynamical Formalism
A. O. Lopes, J. K. Mengue, E. R. Oliveira
In this work we introduce an idempotent pressure to level-2 functions and its associated density entropy. All this is related to idempotent pressure functions which is the natural…
Thermodynamic Formalism for Haar systems in Noncommutative Integration: transverse functions and entropy of transverse measures
Artur O. Lopes, Jairo K. Mengue
We consider here a class of groupoids obtained via an equivalence relation (the subgroupoids of pair groupoids). We generalize to Haar Systems in these groupoids some results relat…
Quantum Spin probabilities at positive temperature are Hölder Gibbs probabilities
Jader E. Brasil, Artur O. Lopes, Jairo K. Mengue +1
We consider the KMS state associated to the Hamiltonian over the quantum spin lattice . For…
On the selection of subaction and measure for a subclass of potentials defined by P. Walters
A. T. Baraviera, A. O. Lopes, J. K. Mengue
Suppose is the shift acting on Bernoulli space , and, consider a fixed function , under the Waters's conditions (defined in a paper in…