64 citations · 305 across the 72 of their papers we have counts for
11 papers · 1 filter
Gradient flow approach to Landau equation: A cross-product structure
Manh Hong Duong, Zihui He
We introduce a cross-product Landau gradient that commutes with Gaussian mollification. For the hard-potential interaction kernels of the form $A(|v-v_*|)\sim \langle v-v_*\rangle^…
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…
Co-evolution of social reward and punishment under institutional interventions
Van An Nguyen, Vuong Khang Huynh, Hoai Thuong Nguyen +14
We investigate how peer and institutional incentives jointly shape the evolution of cooperation, social welfare, and enforcement efficiency in social dilemmas. In a Prisoners Dilem…
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…
Social welfare optimisation under institutional reward and punishment
Van An Nguyen, Vuong Khang Huynh, Huu Loi Bui +8
Institutional incentives are widely used to promote cooperation among autonomous, self-regarding agents, from human societies to multi-agent and AI systems. Existing work typically…
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…
Trust or Check? Understanding the (Evolutionary) Dynamics of User Trust in AI Systems
Adeela Bashir, Zhao Song, Ndidi Bianca Ogbo +21
As the capabilities and adoption of Artificial Intelligence (AI) systems grow, trust in these AI systems is an increasingly urgent concern. Much research has focused on models of 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 kinetic models: GENERIC formulation and Fisher information
Manh Hong Duong, Zihui He
In this paper, we study the GENERIC structures of multi-species spatially inhomogeneous Boltzmann and Landau equations with Bose-Einstein, Maxwell-Boltzmann, and Fermi-Dirac statis…