A. O. Lopes

activity

20112026

most citedA dynamical point of view of Quantum Information: entropy and pressure

15 citations · 18 across the 18 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.PR2022

Diffusion Processes: entropy, Gibbs states and the continuous time Ruelle operator

A. O. Lopes, G. Muller, A. Neumann

We consider a Riemmaniann compact manifold $M$ , the associated Laplacian $Δ$ and the corresponding Brownian motion $X_{t}$ , $t \geq 0.$ Given a Lipschitz function $V : M \to R$ we…

math.DS2022

The involution kernel and the dual potential for functions in the Walters family

Lucas Y. Hataishi, Artur O. Lopes

Our notation: Points in ${0, 1}^{Z - {0}} = {0, 1}^{N} \times {0, 1}^{N} = Ω^{-} \times Ω^{+}$ , are denoted by $(y ∣ x) = (..., y_{2}, y_{1} ∣ x_{1}, x_{2}, ...)$ , where $(x_…