Jader E. Brasil

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20182022

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math.DS2022

Thermodynamic formalism for general iterated function systems with measures

Jader E. Brasil, Elismar R. Oliveira, Rafael Rigão Souza

This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems with Measures (IFSm). We study the spectral properties of the Transfer and Markov operators…

math-ph2022

Thermodynamic formalism for continuous-time quantum Markov semigroups: the detailed balance condition, entropy, pressure and equilibrium quantum processes

Jader E. Brasil, Josue Knorst, Artur O. Lopes

$M_{n} (C)$ denotes the set of $n$ by $n$ complex matrices. Consider continuous time quantum semigroups $P_{t} = e^{t L}$ , $t \geq 0$ , where $\mathcal{L}:M…