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math-ph2025
The Dirac operator for the Ruelle-Koopman pair on L^p-spaces: an interplay between Connes distance and symbolic dynamics
William Braucks, Artur O. Lopes
Denote by the maximal entropy measure for the shift \(σ\) acting on , by $\ruelle$ the associated Ruelle operator and by $\koopman = \ruelle^{\dagger…
math-ph2024
On the quantum Guerra-Morato Action Functional
Josue Knorst, Artur O. Lopes
Given a smooth potential on the torus, the Quantum Guerra-Morato action functional is given by \smallskip $ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,…