64 citations · 305 across the 72 of their papers we have counts for
7 papers · 1 filter
Adaptive Dynamics of Diverging Fitness Optima
Manh Hong Duong, Fabian Spill, Blaine van Rensburg
We analyse a non-local parabolic integro-differential equation modelling the evolutionary dynamics of a phenotypically-structured population in a changing environment. Such models…
Convergence to equilibrium for a degenerate McKean-Vlasov Equation
Manh Hong Duong, Amit Einav
In this work we study the convergence to equilibrium for a (potentially) degenerate nonlinear and nonlocal McKean-Vlasov equation. We show that the solution to this equation is rel…
Entropic regularisation of unbalanced optimal transportation problems
Maciej Buze, Manh Hong Duong
We develop a mathematical theory of entropic regularisation of unbalanced optimal transport problems. Focusing on static formulation and relying on the formalism developed for the…
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…
Model reduction of Brownian oscillators: quantification of errors and long-time behaviour
M. Colangeli, M. H. Duong, A. Muntean
A procedure for model reduction of stochastic ordinary differential equations with additive noise was recently introduced in [Colangeli-Duong-Muntean, Journal of Physics A: Mathema…
On the number of equilibria of the replicator-mutator dynamics for noisy social dilemmas
L. Chen, C. Deng, M. H. Duong +1
In this paper, we consider the replicator-mutator dynamics for pairwise social dilemmas where the payoff entries are random variables. The randomness is incorporated to take into a…