64 citations · 305 across the 72 of their papers we have counts for
14 papers · 1 filter
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…
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 Langevin equation with singular potentials
Manh Hong Duong, Hung D. Nguyen
We consider a system of interacting particles governed by the generalized Langevin equation (GLE) in the presence of external confining potentials, singular repulsive forces, as we…
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…
On decompositions of non-reversible processes
M. H. Duong, J. Zimmer
Markov chains are studied in a formulation involving forces and fluxes. First, the iso-dissipation force recently introduced in the physics literature is investigated; we show that…
Rate of convergence in the Smoluchowski-Kramers approximation for mean-field stochastic differential equations
T. C. Son, D. Q. Le, M. H. Duong
In this paper we study a second-order mean-field stochastic differential systems describing the movement of a particle under the influence of a time-dependent force, a friction, a…
Non-reversible processes: GENERIC, Hypocoercivity and fluctuations
Manh Hong Duong, Michela Ottobre
We consider two approaches to study non-reversible Markov processes, namely the Hypocoercivity Theory (HT) and GENERIC (General Equations for Non-Equilibrium Reversible-Irreversibl…
Reducing exit-times of diffusions with repulsive interactions
Paul-Eric Chaudru de Raynal, Manh Hong Duong, Pierre Monmarché +2
In this work we prove a Kramers' type law for the low-temperature behavior of the exit-times from a metastable state for a class of self-interacting nonlinear diffusion processes.…
On the expected number of real roots of random polynomials arising from evolutionary game theory
V. H. Can, M. H. Duong, V. H. Pham
In this paper, we obtain finite estimates and asymptotic formulas for the expected number of real roots of two classes of random polynomials arising from evolutionary game theory.…
Thermodynamic Limit of the Transition Rate of a Crystalline Defect
Julian Braun, Manh Hong Duong, Christoph Ortner
We consider an isolated point defect embedded in a homogeneous crystalline solid. We show that, in the harmonic approximation, a periodic supercell approximation of the formation f…
On the expected number of equilibria in a multi-player multi-strategy evolutionary game
Manh Hong Duong, The Anh Han
In this paper, we analyze the mean number of internal equilibria in a general -player -strategy evolutionary game where the agents' payoffs are normally distributed.…