Status: 1st split-stay completed Started in: 2025 (February) Work Package: 2 - Limiting behaviour
Finalization of a preprint with Jonas Tölle on ergodicity for stochastic equations with Lévy noise. Collaboration with Anna-Mariya Otsetova and Jonas Tölle on a paper project on mixing times of certain SPDEs.
Status: 1st split-stay completed Started in: 2025 (June) Work Package: 2 - Limiting behaviour
Collaboration with Gerardo Barrera (IST) on the cutoff for stable ARMA processes and new bounds for the Wasserstein metric based on coupling techniques. Initial collaboration with Gerardo Barrera (IST) and Goncalo dos Reis (EDIN) based on a minicourse of the dos Reis on mean field SDEs and the propagation of chaos.
Status: completed Started in: 2025 (March) Ended in: 2025 (July) Work Package: 1 - Well-posedness & regularity
Collaboration with Chirstopher Henderson on a paper project on boundary regularity problems for PDEs arising in the kinetic theory of gasses and related particle systems.
Status: completed Started in: April 2025 Ended in: June 2025 Work Package: 2 - Limiting behaviour
Collaboration with Makiko Sasada on Gradient flow description of hydrodynamic limits: the implications of this approach arise especially in physical systems with more than one conservation law and developments of the non gradient method in equilibrium fluctuations of weakly asymmetric particle systems.
Status: completed Started in: 2025 (May) Ended in: 2025 (July) Work Package: 1 - Well-posedness & regularity
Collaboration with Nicolas Perkowski on parabolic stochastic PDEs with parametrix and chaos expansion techniques. Collaboration with Ana Djurdjevac on analytical approximations for McKean-Vlasov SDEs.
Status: 1st split-stay completed Started in: 2025 (May) Work Package: 1 - Well-posedness & regularity
Collaboration with Chirstopher Henderson on a paper project on Landau equations and their connection with McKean-Vlasov equations. Collaboration with Giacomo Lucertini and Pedro Aceves Sanchez on McKean-Vlasov equations with jumps.