64 citations · 305 across the 72 of their papers we have counts for
13 papers · 1 filter
On a fuzzy Landau Equation: Part III. The grazing collision limit
Manh Hong Duong, Boris Golubkov, Zihui He
In this paper, we study the grazing limit from the non-cutoff fuzzy Boltzmann equations to the fuzzy Landau equation, where particles interact through delocalised collisions. We sh…
Phase-Space Analysis of Elastic Vector Solitons in Flexible Mechanical Metamaterials
M. H. Duong, M. J. Reynolds
The purpose of this paper is to propose a revised continuum model from the discrete system introduced in [Deng et.al., PRL, 2017] . Using a Galilean transformation, we obtain an eq…
Can Media Act as a Soft Regulator of Safe AI Development? A Game Theoretical Analysis
Henrique Correia da Fonseca, António Fernandes, Zhao Song +15
When developers of artificial intelligence (AI) products need to decide between profit and safety for the users, they likely choose profit. Untrustworthy AI technology must come pa…
GENERIC formulation and small-angle limit for Kinetic wave equations
Manh Hong Duong, Zihui He
In this paper, we formulate the three-wave and four-wave kinetic equations into the GENERIC framework and formally derive a small-angle limit for the four-wave equation. This limit…
On a fuzzy Landau Equation: Part II. Solvability results
Manh Hong Duong, Zihui He
This article is the second in a series of our works on the fuzzy Landau equation, where particles interact via delocalised Coulomb collisions. In this work, we focus on the existen…
Model Reduction of Multivariate Geometric Brownian Motions and Localization in a Two-State Quantum System
C. Chen, M. Colangeli, M. H. Duong +1
We develop a systematic framework for the model reduction of multivariate geometric Brownian motions (GBMs), a fundamental class of stochastic processes with broad applications in…
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…
Do LLMs trust AI regulation? Emerging behaviour of game-theoretic LLM agents
Alessio Buscemi, Daniele Proverbio, Paolo Bova +15
There is general agreement that fostering trust and cooperation within the AI development ecosystem is essential to promote the adoption of trustworthy AI systems. By embedding Lar…
Replicator-mutator dynamics for public goods games with institutional incentives
Nataliya A. Balabanova, Manh Hong Duong, The Anh Han
Understanding the emergence and stability of cooperation in public goods games is important due to its applications in fields such as biology, economics, and social science. Howeve…
On a fuzzy Landau Equation: Part I. A variational approach
Manh Hong Duong, Zihui He
This article is the first in a series of works on the fuzzy Landau equation, where particles interact through delocalised Coulomb collisions. Here, we establish a variational chara…
Media and responsible AI governance: a game-theoretic and LLM analysis
Nataliya Balabanova, Adeela Bashir, Paolo Bova +15
This paper investigates the complex interplay between AI developers, regulators, users, and the media in fostering trustworthy AI systems. Using evolutionary game theory and large…
Eco-evolutionary dynamics of a trait-structured predator-prey model
Manh Hong Duong, Fabian Spill, Blaine van Rensburg
The coupling between evolutionary and ecological changes (eco-evolutionary dynamics) has been shown to be relevant among diverse species, and is also of interest outside of ecology…