112 citations · 209 across the 18 of their papers we have counts for
22 papers
Weak synchronisation for McKean--Vlasov SDEs
Benjamin Gess, Rishabh S. Gvalani, Shanshan Hu
Synchronisation by noise for McKean--Vlasov stochastic differential equations is investigated. A transfer principle is introduced by which synchronisation by noise and diagonal mix…
Sharp mean-field estimates for diffusive log/Riesz gases in the Hilbert--Schmidt regime
Matias G. Delgadino, Rishabh Gvalani, Matthew Rosenzweig
We study fixed-temperature logarithmic and Riesz gases after subtracting the leading mean-field contribution relative to a prescribed background law. For repulsive interactions in…
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…
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…
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…