1 citations · 1 across the 7 of their papers we have counts for
7 papers
Quantitative particle approximation of nonlinear stochastic Fokker-Planck equations with singular kernel
Josué Knorst, Christian Olivera, Alexandre B. de Souza
We derive quantitative estimates for large stochastic systems of interacting particles perturbed by both idiosyncratic and environmental noises, as well as singular kernels. We pro…
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 $ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,…
Convergence Rate for Moderate Interaction particles and Application to Mean Field Games
Josué Knorst, Christian Olivera, Alexandre B. de Souza
We study two interacting particle systems, both modeled as a system of stochastic differential equations driven by Brownian motions with singular kernels and moderate interacti…
Thermodynamic Formalism on the Skorokhod space: the continuous time Ruelle operator, entropy, pressure, entropy production and expansiveness
J. Knorst, A. O. Lopes, G. Muller +1
Consider the semi-flow given by the continuous time shift , , acting on the of \textit{càdlàg} paths $w: [0,\infty) \to S…
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
denotes the set of by complex matrices. Consider continuous time quantum semigroups , , where $\mathcal{L}:M…
Lyapunov exponents for Quantum Channels: an entropy formula and generic properties
Jader E. Brasil, Josue Knorst, Artur O. Lopes
We denote by the set of by matrices with complex entries. We consider quantum channels of the form: given a measurable function and a measure …
Thermodynamic Formalism for Quantum Channels: Entropy, Pressure, Gibbs channels and generic properties
Jader E. Brasil, Josue Knorst, Artur O. Lopes
Denote the set of complex by matrices. We will analyze here quantum channels of the following kind: given a measurable function and the measure $…