4 papers · 1 filter
Ergodicity for SPDEs driven by divergence-free transport noise
Benjamin Gess, Rishabh S. Gvalani, Adrian Martini
We study the ergodic behaviour of the McKean-Vlasov equations driven by common, divergence-free transport noise. In particular, we show that in dimension , if the noise is…
Random dynamical systems for McKean--Vlasov SDEs via rough path theory
Benjamin Gess, Rishabh S. Gvalani, Shanshan Hu
The existence of random dynamical systems for McKean--Vlasov SDEs is established. This is approached by considering the joint dynamics of the corresponding nonlinear Fokker-Planck…
Sharp mean-field estimates for the repulsive log gas in any dimension
Matias G. Delgadino, Rishabh S. Gvalani
We prove sharp estimates for the mean-field limit of weakly interacting diffusions with repulsive logarithmic interaction in arbitrary dimension. More precisely, we show that the a…
Separation of time scales in weakly interacting diffusions
Zachary P. Adams, Maximilian Engel, Rishabh S. Gvalani
We study metastable behaviour in systems of weakly interacting Brownian particles with localised, attractive potentials which are smooth and globally bounded. In this particular se…