1 citations · 1 across the 3 of their papers we have counts for
6 papers
Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits
Alberto Montefusco, Upanshu Sharma, Oliver Tse
We introduce a variational structure for the Fourier-Cattaneo (FC) system which is a second-order hyperbolic system. This variational structure is inspired by the large-deviation r…
Diffusive limit of random walks on tessellations via generalized gradient flows
Anastasiia Hraivoronska, Oliver Tse
We study asymptotic limits of reversible random walks on tessellations via a variational approach, which relies on a specific generalized-gradient-flow formulation of the correspon…
Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces
Young-Pil Choi, Oliver Tse
We establish a quantitfied overdamped limit for kinetic Vlasov-Fokker-Planck equations with nonlocal interaction forces. We provide explicit bounds on the error between solutions o…
Large deviations for singularly interacting diffusions
Jasper Hoeksema, Thomas Holding, Mario Maurelli +1
In this paper we prove a large deviation principle (LDP) for the empirical measure of a general system of mean-field interacting diffusions with singular drift (as the number of pa…
Mean-field optimal control and optimality conditions in the space of probability measures
Martin Burger, René Pinnau, Claudia Totzeck +1
We derive a framework to compute optimal controls for problems with states in the space of probability measures. Since many optimal control problems constrained by a system of ordi…
An inequality connecting entropy distance, Fisher Information and large deviations
Bastian Hilder, Mark A. Peletier, Upanshu Sharma +1
In this paper we introduce a new generalisation of the relative Fisher Information for Markov jump processes on a finite or countable state space, and prove an inequality which con…