6 papers · 1 filter
Trend to equilibrium and Newtonian limit for the relativistic Langevin equation with singular potentials
Manh Hong Duong, Hung Dang Nguyen
We study a system of interacting particles in the presence of the relativistic kinetic energy, external confining potentials, singular repulsive forces as well as a random perturba…
Asymptotic analysis for the Generalized Relativistic Langevin Equation
Ethan Baker, Manh Hong Duong, Hung Dang Nguyen
In this paper, we study a non-Markovian generalized relativistic Langevin equation (GRLE). We show that when the memory kernel is a sum of exponentials, the GRLE is equivalent to a…
Ergodicity and asymptotic limits for Langevin interacting systems with singular forces and multiplicative noises
Manh Hong Duong, Hung Dang Nguyen, Wenxuan Tao
In this paper, we study systems of interacting particles described by the classical and relativistic Langevin dynamics with singular forces and multiplicative noises. For the c…
Multi-species McKean-Vlasov dynamics in non-convex landscapes
Manh Hong Duong, Grigorios A. Pavliotis, Julian Tugaut
In this paper, we study multi-species stochastic interacting particle systems and their mean-field McKean-Vlasov partial differential equations (PDEs) in non-convex landscapes. Und…
Coarse graining of stochastic differential equations: averaging and projection method
Manh Hong Duong, Carsten Hartmann, Michela Ottobre
We study coarse-graining methods for stochastic differential equations. In particular we consider averaging and a type of projection operator method, sometimes referred to as effec…
Random evolutionary games and random polynomials
Manh Hong Duong, The Anh Han
In this paper, we discover that the class of random polynomials arising from the equilibrium analysis of random asymmetric evolutionary games is \textit{exactly} the Kostlan-Shub-S…