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math.AP2025
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.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…