4 papers · 1 filter
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…
Uniform large-scale -regularity for entropic optimal transport
Rishabh S. Gvalani, Lukas Koch
We study the regularity properties of the minimisers of entropic optimal transport providing a natural analogue of the -regularity theory of quadratic optimal transpor…