3 papers
math-ph2025
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…
math.PR2025
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…
math.PR2024
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…