20 papers
Reputation-driven Cooperation in Lattice-based Decentralized Federated Learning through Evolutionary Game Theory
Phuc Hoang Truong Huynh, Dung Tran Vinh, Khoa Duc Anh Lam +9
Decentralized Federated Learning (DFL) has emerged as an optimal privacy-preserving solution; however, it remains vulnerable to opportunistic behaviors due to the absence of a cent…
Global Dynamics of Trait-Structured Generalised Lotka-Volterra Systems with Trait-Independent Interactions
Manh Hong Duong, Nataliya Balabanova, Blaine van Rensburg
We study the long time dynamics of a selection-mutation integro-differential Lotka-Volterra system of populations. In our model, fitness depends on a continuous phenotypic trai…
The Homogeneous Landau Equation with Regularised Thermal Noise
Manh Hong Duong, Zihui He, Zhengyan Wu
We introduce and analyze a fluctuating homogeneous Landau equation with regularised thermal noise. The model is motivated by the nonlocal gradient flow structure of the determinist…
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…
Unified Formulation and Asymptotic Limits of Inhomogeneous Kinetic Models within GENERIC
Manh Hong Duong, Zihui He
In this paper, we study a general class of inhomogeneous kinetic models that unifies fundamental models in both the statistical physics of particles and of waves, namely the kineti…
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…