53 citations · 84 across the 42 of their papers we have counts for
5 papers · 1 filter
Coupled McKean-Vlasov diffusions: wellposedness, propagation of chaos and invariant measures
Manh Hong Duong, Julian Tugaut
In this paper, we study a two-species model in the form of a coupled system of nonlinear stochastic differential equations (SDEs) that arises from a variety of applications such as…
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…
An operator splitting scheme for the fractional kinetic Fokker-Planck equation
Manh Hong Duong, Yulong Lu
In this paper, we develop an operator splitting scheme for the fractional kinetic Fokker-Planck equation (FKFPE). The scheme consists of two phases: a fractional diffusion phase an…
Mean field limits for non-Markovian interacting particles: convergence to equilibrium, GENERIC formalism, asymptotic limits and phase transitions
M. H. Duong, G. A. Pavliotis
In this paper, we study the mean field limit of interacting particles with memory that are governed by a system of interacting non-Markovian Langevin equations. Under the assumptio…
Persistence probability of a random polynomial arising from evolutionary game theory
Van Hao Can, Manh Hong Duong, Viet Hung Pham
In this paper, we obtain an asymptotic formula for the persistence probability in the positive real line of a random polynomial arising from evolutionary game theory. It correspond…