161 citations · 2k across the 112 of their papers we have counts for
5 papers · 1 filter
Cloaking via mapping for the heat equation
Richard Craster, Sebastien Guenneau, Harsha Hutridurga +1
This paper explores the concept of near-cloaking in the context of time-dependent heat propagation. We show that after the lapse of a certain threshold time instance, the boundary…
Mean Field Limits for Interacting Diffusions in a Two-Scale Potential
S. N. Gomes, G. A. Pavliotis
In this paper we study the combined mean field and homogenization limits for a system of weakly interacting diffusions moving in a two-scale, locally periodic confining potential,…
Instability, rupture and fluctuations in thin liquid films: Theory and computations
Miguel A. Durán-Olivencia, Rishabh S. Gvalani, Serafim Kalliadasis +1
Thin liquid films are ubiquitous in natural phenomena and technological applications. They have been extensively studied via deterministic hydrodynamic equations, but thermal fluct…
Using Perturbed Underdamped Langevin Dynamics to Efficiently Sample from Probability Distributions
A. B. Duncan, N. Nuesken, G. A. Pavliotis
In this paper we introduce and analyse Langevin samplers that consist of perturbations of the standard underdamped Langevin dynamics. The perturbed dynamics is such that its invari…
Nonreversible Langevin Samplers: Splitting Schemes, Analysis and Implementation
A. B. Duncan, G. A. Pavliotis, K. C. Zygalakis
For a given target density, there exist an infinite number of diffusion processes which are ergodic with respect to this density. As observed in a number of papers, samplers based…