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math.AP2025
Kinetic Optimal Transport (OTIKIN) -- Part 1: Second-Order Discrepancies Between Probability Measures
Giovanni Brigati, Jan Maas, Filippo Quattrocchi
This is the first part of a general description in terms of mass transport for time-evolving interacting particles systems, at a mesoscopic level. Beyond kinetic theory, our framew…
math.AP2023
How to construct decay rates for kinetic Fokker--Planck equations?
Giovanni Brigati, Gabriel Stoltz
We study time averages for the norm of solutions to kinetic Fokker--Planck equations associated with general Hamiltonians. We provide fully explicit and constructive decay estimate…
math.AP2021
Time averages for kinetic Fokker-Planck equations
Giovanni Brigati
We consider kinetic Fokker-Planck (or Vlasov-Fokker-Planck) equations on the torus with Maxwellian or fat tail local equilibria. Results based on weak norms have recently been achi…