2 citations · 3 across the 7 of their papers we have counts for
7 papers
Optimal Couplings of Levy Processes in the Class of Immersion Couplings
Tau Shean Lim, Ray Shua Ooi
We prove that any two Lévy processes on with finite second moments admit a coupling that is itself a Lévy process and is both locally and globally optimal for the qu…
Entropic Chaos of Mixed Mean-Field Jump Processes
Tau Shean Lim, Shuoning Zhang
This paper studies a class of mixed mean-field jump processes on an abstract state space , together with their associated -particle systems. The dynamics consist of the super…
On Optimal Markovian Couplings of Levy Processes
Wei Yang Kang, Tau Shean Lim
We study the optimal Markovian coupling problem for two Pi-valued Feller processes {X_t} and {Y_t}, which seeks a coupling process {(X_t, Y_t)} that minimizes the right derivative…
Abstract Formulation of Mean-Field Models and Propagation of Chaos
Tau Shean Lim, Chao Dun Teoh
In this work, we formulate an abstract framework to study mean-field systems. In contrast to most approaches in the available literature which primarily rely on the analysis of SDE…
Quantitative Propagation of Chaos in the bimolecular chemical reaction-diffusion model
Tau Shean Lim, Yulong Lu, James Nolen
We study a stochastic system of interacting particles which models bimolecular chemical reaction-diffusion. In this model, each particle carries two attributes: the spatial…
Existence and non-existence of transition fronts in mixed ignition-monostable media
Cole Graham, Tau Shean Lim, Andrew Ma +1
We study transition fronts for one-dimensional reaction-diffusion equations with compactly perturbed ignition-monostable reactions. We establish an almost sharp condition on reacti…
Transition fronts for inhomogeneous Fisher-KPP reactions and non-local diffusion
Tau Shean Lim, Andrej Zlatos
We prove existence of and construct transition fronts for a class of reaction- diffusion equations with spatially inhomogeneous Fisher-KPP type reactions and non-local diffusion. O…