8 papers
Formation of clusters and coarsening in weakly interacting diffusions
Nicolai Gerber, Rishabh S. Gvalani, Martin Hairer +2
This paper studies the clustering behavior of weakly interacting diffusions under the influence of sufficiently localized attractive interaction potentials on the one-dimensional t…
Stochastic estimates for the thin-film equation with thermal noise
Rishabh S. Gvalani, Markus Tempelmayr
We construct and derive uniform stochastic estimates on the renormalised model for a class of fourth-order conservative quasilinear singular SPDEs in arbitrary dimension …
Sparsity and uniform regularity for regularised optimal transport
Rishabh S. Gvalani, Lukas Koch
We consider regularised quadratic optimal transport with subquadratic polynomial or entropic regularisation. In both cases, we prove interior Lipschitz-estimates on a transport-lik…
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…