Hong Duong

Research output

Research output per year 2013 2015 2016 2017 2018 2019 2022 2023 2024 2024

• 48 Article
• 4 Conference contribution
• 1 Conference article

Research output per year

Research output per year

Search results

• 2024

  Asymptotic Analysis for the Generalized Langevin Equation with Singular Potentials

  Duong, M. H. & Nguyen, D. H., 14 May 2024, In: Journal of Nonlinear Science. 34, 4, 62.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Generalized Langevin Equation 100%
  • Singular Potential 79%
  • Asymptotic Analysis 61%
  • Time Windows 29%
  • Memory Kernel 29%
  49 Downloads (Pure)

• Cost optimisation of individual-based institutional reward incentives for promoting cooperation in finite populations

  Duong, M. H., Durbac, C. & Han, T. A., 5 Aug 2024, In: Bulletin of Mathematical Biology. 86, 43 p., 115.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File
  7 Downloads (Pure)

• Evolutionary mechanisms that promote cooperation may not promote social welfare

  Han, T. A., Duong, H. & Perc, M., 7 Oct 2024, (Accepted/In press) In: Journal of The Royal Society Interface.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

• On the number of equilibria of the replicator-mutator dynamics for noisy social dilemmas

  Chen, L., Deng, C., Duong, M. H. & Han, T. A., Mar 2024, In: Chaos, Solitons and Fractals. 180, 11 p., 114565.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Social Dilemma 100%
  • Replicator Dynamics 78%
  • Game 43%
  • Uncertainty 33%
  • Mutation 26%
  28 Downloads (Pure)
• 2023

  Brownian Motion in an N-scale periodic Potential

  Duncan, A. B., Duong, M. H. & Pavliotis, G. A., 31 Mar 2023, In: Journal of Statistical Physics. 190, 4, 34 p., 82 .

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Periodic Potential 100%
  • Free Energy 82%
  • Brownian motion 67%
  • Detailed Balance 54%
  • Langevin Equation 49%
  92 Downloads (Pure)

• Cost optimisation of hybrid institutional incentives for promoting cooperation in finite populations

  Duong, M. H., Durbac, C. & Han, T. A., 26 Oct 2023, In: Journal of Mathematical Biology. 87, 57 p., 77.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Cost Optimization 100%
  • Incentives 82%
  • Finite Population 64%
  • Motivation 48%
  • Costs and Cost Analysis 37%
  34 Downloads (Pure)

• Model reduction of Brownian oscillators: quantification of errors and long-time behaviour

  Colangeli, M., Duong, M. H. & Muntean, A., 20 Jul 2023, (E-pub ahead of print) In: Journal of Physics A: Mathematical and Theoretical.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Model Reduction 100%
  • Long-time Behavior 88%
  • oscillators 62%
  • Stochastic Ordinary Differential Equations 60%
  • Wasserstein Distance 54%
  36 Downloads (Pure)

• Non-reversible processes: GENERIC, hypocoercivity and fluctuations

  Duong, M. H. & Ottobre, M., 3 Feb 2023, In: Nonlinearity. 36 , 3, 46 p., 1617.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Markov processes 100%
  • Fluctuations 70%
  • Markov Process 68%
  • Piecewise Deterministic Markov Process 52%
  • Nonlinear Process 23%
  82 Downloads (Pure)

• On decompositions of non-reversible processes

  Duong, M. H. & Zimmer, J., 1 May 2023, In: Journal of Physics: Conference Series. 2514, 1

  Research output: Contribution to journal › Conference article › peer-review

  Open Access

  File

  • decomposition 100%
  • Markov processes 59%
  • Markov chains 53%
  • dissipation 35%
  • formulations 30%
  39 Downloads (Pure)

• Optimisation of hybrid institutional incentives for cooperation in finite populations

  Duong, M. H., Durbac, C. & Han, T. A., 24 Jul 2023, ALIFE 2023: Ghost in the Machine: Proceedings of the 2023 Artificial Life Conference . MIT Press, 118

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  Open Access

  File
  32 Downloads (Pure)

• Rate of convergence in the Smoluchowski-Kramers approximation for mean-field stochastic differential equations

  Son, T. C., Le, D. Q. & Duong, M. H., 3 Jul 2023, (E-pub ahead of print) In: Potential Analysis.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Mean Field 100%
  • Stochastic Differential Equations 78%
  • Rate of Convergence 68%
  • Approximation 45%
  • Total Variation Distance 28%
  40 Downloads (Pure)

• Reducing exit-times of diffusions with repulsive interactions

  Chaudru de Raynal, P-E., Duong, M. H., Monmarché, P., Tomaševic, M. & Tugaut, J., 31 Jul 2023, In: ESAIM: Probability and Statistics. 27, p. 723-748 26 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Exit Time 100%
  • Interaction 56%
  • Metastable States 29%
  • Interacting Diffusions 29%
  • Nonlinear Process 24%
  39 Downloads (Pure)
• 2022

  Accurate and robust splitting methods for the generalized Langevin equation with a positive Prony series memory kernel

  Duong, M. H. & Shang, X., 1 Sept 2022, In: Journal of Computational Physics. 464, 111332.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Prony series 100%
  • Error analysis 53%
  • Numerical methods 51%
  • Data storage equipment 35%
  • error analysis 23%
  106 Downloads (Pure)

• A GPM-based algorithm for solving regularized Wasserstein barycenter problems in some spaces of probability measures

  Kum, S., Duong, M. H., Lim, Y. & Yun, S., 21 Jul 2022, In: Journal of Computational and Applied Mathematics. 416, 114588.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Gradient Projection Method 100%
  • Barycentre 84%
  • Gaussian distribution 81%
  • Probability Measure 62%
  • Gradient methods 43%
  59 Downloads (Pure)

• A reduction scheme for coupled Brownian harmonic oscillators

  Colangeli, M., Duong, M. H. & Muntean, A., 22 Dec 2022, In: Journal of Physics A: Mathematical and Theoretical. 55, 50, 24 p., 505002.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Harmonic Oscillator 100%
  • harmonic oscillators 89%
  • Fluctuation-dissipation Theorem 69%
  • Transport Coefficients 63%
  • Weak Coupling 62%
  36 Downloads (Pure)

• Cost-efficiency of institutional reward and punishment in cooperation dilemmas

  Duong, M. H. & Han, T. A., 18 Jul 2022, Proceedings of Artificial Life Conference 2022. Holler, S., Löffler, R. & Bartlett, S. (eds.). MIT Press, p. 241-243 3 p. 35. (ALIFE: proceedings of the artificial life conference; vol. 34).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  Open Access

  File
  39 Downloads (Pure)

• Entropic regularisation of non-gradient systems

  Duong, M. H., Adams, D. & dos Reis, G., 31 Aug 2022, In: SIAM Journal on Mathematical Analysis. 54, 4

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File
  179 Downloads (Pure)

• On the expected number of real roots of random polynomials arising from evolutionary game theory

  Can, V. H., Duong, M. H. & Pham, V. H., 14 Sept 2022, In: Communications in Mathematical Sciences. 20, 6, p. 1613-1636 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Evolutionary Game Theory 100%
  • Random Polynomials 85%
  • Real Roots 77%
  • Game theory 72%
  • Asymptotic Formula 61%
  38 Downloads (Pure)

• Operator-splitting schemes for degenerate, non-local, conservative-dissipative systems

  Duong, M. H., Adams, D. & dos Reis, G., Nov 2022, In: Discrete and Continuous Dynamical Systems - Series A. 42, 11, p. 5453-5486 34 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Fokker Planck equation 100%
  73 Downloads (Pure)
• 2021

  Cost efficiency of institutional incentives for promoting cooperation in finite populations

  Duong, M. H. & Han, T. A., 20 Oct 2021, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 477, 2254, 16 p., 20210568.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Cost Efficiency 100%
  • incentives 89%
  • Incentives 83%
  • selection intensity 79%
  • Efficiency 65%
  53 Downloads (Pure)

• Statistics of the number of equilibria in random social dilemma evolutionary games with mutation

  Duong, M. H. & Han, T. A., 23 Aug 2021, In: European Physical Journal B. Condensed Matter and Complex Systems. 94, 4 p., 171.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Social Dilemma 100%
  • Evolutionary Game 97%
  • Mutation 95%
  • Probability Distribution 78%
  • Impact Factor 64%
  110 Downloads (Pure)
• 2020

  The effect of mutation on equilibrium properties of deterministic and random evolutionary games

  Duong, M. H. & Han, T. A., 1 Jul 2020, ALIFE 2020: The 2020 Conference on Artificial Life. MIT Press

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  Open Access

• Thermodynamic limit of the transition rate of a crystalline defect

  Braun, J., Duong, M. H. & Ortner, C., 15 Sept 2020, In: Archive for Rational Mechanics and Analysis. 238, p. 1413-1474 62 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Thermodynamic Limit 100%
  • Crystalline materials 79%
  • Defects 75%
  • Thermodynamics 64%
  • Entropy 63%
  138 Downloads (Pure)

• Wasserstein gradient flow formulation of the time-fractional Fokker-Planck equation

  Duong, M. H. & Jin, B., 11 Dec 2020, In: Communications in Mathematical Sciences. 18, 7, p. 1949–1975

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Fokker Planck equation 100%
  • Gradient Flow 78%
  • Fokker-Planck Equation 71%
  • Derivatives 54%
  • Fractional 47%
  233 Downloads (Pure)
• 2019

  An operator splitting scheme for the fractional kinetic Fokker-Planck equation

  Duong, M. H. & Lu, Y., 1 Oct 2019, In: Discrete and Continuous Dynamical Systems - Series A. 39, 10, p. 5707-5727

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Fokker Planck equation 100%
  • Byproducts 34%
  • Convolution 32%
  • Mathematical operators 30%
  • Large scale systems 28%
  1 Citation (Scopus)

  166 Downloads (Pure)

• Coupled McKean-Vlasov diffusions: wellposedness, propagation of chaos and invariant measures

  Duong, M. H. & Tugaut, J., 22 Oct 2019, (E-pub ahead of print) In: Stochastics: an international journal of probablity and stochastic processes.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Propagation of Chaos 100%
  • Invariant Measure 64%
  • Well-posedness 60%
  • Stochastic Differential Equations 29%
  • Many-particle System 26%
  286 Downloads (Pure)

• Mean field limits for non-Markovian interacting particles: convergence to equilibrium, GENERIC formalism, asymptotic limits and phase transitions

  Duong, M. H. & Pavliotis, G. A., 18 Apr 2019, In: Communications in Mathematical Sciences. 16, 8, p. 2199 – 2230

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Vlasov equation 100%
  • McKean-Vlasov Equation 83%
  • Convergence to Equilibrium 68%
  • Asymptotic Limit 62%
  • Phase transitions 54%
  6 Citations (Scopus)

  235 Downloads (Pure)

• On Equilibrium Properties of the Replicator–Mutator Equation in Deterministic and Random Games

  Duong, M. H. & Han, T. A., 27 Nov 2019, (E-pub ahead of print) In: Dynamic Games and Applications.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Game 100%
  • Polynomials 95%
  • Snow 74%
  • Normal distribution 68%
  • Mutation 61%
  2 Citations (Scopus)

  168 Downloads (Pure)

• On the Expected Number and Distribution of Equilibria in Multi-player Evolutionary Games

  Duong, M. H. & Han, T. A., 15 Jul 2019, ALIFE 2019: The 2019 Conference on Artificial Life. MIT Press

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  File
  181 Downloads (Pure)

• Persistence probability of a random polynomial arising from evolutionary game theory

  Can, V. H., Duong, M. H. & Pham, V. H., 1 Oct 2019, In: Journal of Applied Probability. 56, 3, p. 870-890 21 p.

  Research output: Contribution to journal › Article › peer-review

  • Evolutionary Game Theory 100%
  • Random Polynomials 85%
  • Persistence 65%
  • Polynomials 64%
  • Evolutionary Game 46%
  1 Citation (Scopus)
• 2018

  From continuum mechanics to SPH particle systems and back: Systematic derivation and convergence

  Evers, J. H. M., Zisis, I. A., van der Linden, B. J. & Duong, M. H., Jan 2018, In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 98, 1, p. 106-133 28 p.

  Research output: Contribution to journal › Article › peer-review

  • Smoothed Particle Hydrodynamics 100%
  • Continuum mechanics 80%
  • Continuum Mechanics 74%
  • Particle System 73%
  • Equations of motion 56%
  4 Citations (Scopus)

• On the distribution of the number of internal equilibria in random evolutionary games

  Duong, H., Tran, H. M. & Han, T. A., 1 Aug 2018, In: Journal of Mathematical Biology. p. 1-41

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Evolutionary Game 100%
  • Game Theory 59%
  • Internal 57%
  • game theory 53%
  • computer science 52%
  5 Citations (Scopus)

  155 Downloads (Pure)

• On the Expected Number of Internal Equilibria in Random Evolutionary Games with Correlated Payoff Matrix

  Duong, M. H., Tran, H. M. & Han, T. A., 28 Jul 2018, In: Dynamic Games and Applications.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Biodiversity 100%
  • Evolutionary Game 98%
  • Game theory 76%
  • Random variables 71%
  • Equilibrium Point 64%
  2 Citations (Scopus)

  159 Downloads (Pure)

• On the fundamental solution and a variational formulation for a degenerate diffusion of kolmogorov type

  Duong, M. H. & Tran, H. M., Jul 2018, In: Discrete and Continuous Dynamical Systems - Series S. 38, 7, p. 3407-3438 32 p.

  Research output: Contribution to journal › Article › peer-review
  3 Citations (Scopus)

• Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics

  Duong, H., Lamacz, A., Peletier, M. A., Schlichting, A. & Sharma, U., 1 Oct 2018, In: Nonlinearity. 31, 10, p. 4517-4566 50 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Langevin Dynamics 100%
  • Coarse-graining 91%
  • Quantification 71%
  • Gibbs Measure 38%
  • Fokker Planck equation 32%
  9 Citations (Scopus)

  161 Downloads (Pure)

• The Vlasov-Fokker-Planck equation in non-convex landscapes: Convergence to equilibrium

  Duong, M. H. & Tugaut, J., 15 Mar 2018, In: Electronic Communications in Probability. 23, 10 p., 19.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Fokker-Planck Equation 100%
  • Vlasov Equation 84%
  • Convergence to Equilibrium 80%
  • Free Energy 33%
  • Nonlinear Partial Differential Equations 32%
  2 Citations (Scopus)

  170 Downloads (Pure)
• 2017

  Analysis of the mean squared derivative cost function

  Duong, M. H. & Tran, H. M., 30 Sept 2017, In: Mathematical Methods in the Applied Sciences. 40, 14, p. 5222-5240 19 p.

  Research output: Contribution to journal › Article › peer-review

  • Cost Function 100%
  • Cost functions 91%
  • Derivatives 82%
  • Motor Control 82%
  • Transport Theory 65%
  3 Citations (Scopus)

• Discrete and continuum links to a nonlinear coupled transport problem of interacting populations

  Duong, M. H., Muntean, A. & Richardson, O. M., Jul 2017, In: The European Physical Journal Special Topics. 226, 10, p. 2345-2357 13 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Hydrodynamics 100%
  • Entropy 86%
  • continuums 76%
  • Flow 67%
  • norms 57%
  4 Citations (Scopus)

  170 Downloads (Pure)

• On assessing the accuracy of defect free energy computations

  Dobson, M., Duong, M. H. & Ortner, C., 5 Oct 2017, In: Mathematical Modelling and Numerical Analysis.

  Research output: Contribution to journal › Article › peer-review

  • Free energy 100%
  • Free Energy 90%
  • Defects 83%
  • Harmonic Potential 60%
  • Coarse-graining 59%
  2 Citations (Scopus)

• Variational approach to coarse-graining of generalized gradient flows

  Duong, M. H., Lamacz, A., Peletier, M. A. & Sharma, U., Aug 2017, In: Calculus of Variations and Partial Differential Equations. 56, 4, 65 p., 100.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Coarse-graining 100%
  • Generalized Gradient 94%
  • Gradient Flow 83%
  • Variational Approach 77%
  • Variational techniques 52%
  9 Citations (Scopus)

  156 Downloads (Pure)
• 2016

  Analysis of the expected density of internal equilibria in random evolutionary multi-player multi-strategy games

  Duong, M. H. & Han, T. A., Dec 2016, In: Journal of Mathematical Biology. 73, 6-7, p. 1727-1760 34 p.

  Research output: Contribution to journal › Article › peer-review

  • Game Theory 100%
  • game theory 89%
  • Normal Distribution 69%
  • normal distribution 69%
  • qualitative analysis 67%
  9 Citations (Scopus)

• Comparison and maximum principles for a class of flux-limited diffusions with external force fields

  Duong, M. H., 1 May 2016, In: Advances in Nonlinear Analysis. 5, 2, p. 167-176 10 p.

  Research output: Contribution to journal › Article › peer-review

  • Force Field 100%
  • External Field 94%
  • Comparison Principle 87%
  • Maximum Principle 74%
  • Special Relativity 28%
  3 Citations (Scopus)

• On the Expected Number of Equilibria in a Multi-player Multi-strategy Evolutionary Game

  Duong, M. H. & Han, T. A., Sept 2016, In: Dynamic Games and Applications. 6, p. 324-346 23 p.

  Research output: Contribution to journal › Article › peer-review

  • Evolutionary Game 100%
  • Strategy 49%
  • Upper and Lower Bounds 19%
  • Internal 19%
  • Tend 17%
  6 Citations (Scopus)

• Stationary solutions of the Vlasov-Fokker-Planck equation: Existence, characterization and phase-transition

  Duong, M. H. & Tugaut, J., Feb 2016, In: Applied Mathematics Letters. 52, p. 38-45 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Fokker Planck equation 100%
  • Vlasov Equation 91%
  • Fokker-Planck Equation 71%
  • Phase transitions 68%
  • Phase Transition 67%
  4 Citations (Scopus)

• The two-scale approach to hydrodynamic limits for non-reversible dynamics

  Duong, M. H. & Fathi, M., 2016, In: Markov Processes and Related Fields. 22, 1, p. 1-36 36 p.

  Research output: Contribution to journal › Article › peer-review

  • Hydrodynamic Limit 100%
  • Hydrodynamics 62%
  • Kawasaki Dynamics 41%
  • Tire 36%
  • Tires 23%
• 2015

  Asymptotic equivalence of the discrete variational functional and a rate-large-deviation-like functional in the Wasserstein gradient flow of the porous medium equation

  Duong, M. H., 2015, In: Asymptotic Analysis. 92, 1-2, p. 85-106 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Asymptotic Equivalence 100%
  • Porous Medium Equation 91%
  • Gradient Flow 89%
  • Large Deviations 75%
  • Internal 62%

• Formulation of the relativistic heat equation and the relativistic kinetic Fokker-Planck equations using GENERIC

  Duong, M. H., 1 Dec 2015, In: Physica A: Statistical Mechanics and its Applications. 439, p. 34-43 10 p.

  Research output: Contribution to journal › Article › peer-review

  • Fokker-Planck equation 100%
  • formulations 60%
  • thermodynamics 59%
  • kinetics 52%
  • Maxwell-Boltzmann density function 37%
  2 Citations (Scopus)

• Long time behaviour and particle approximation of a generalised Vlasov dynamic

  Duong, M. H., Nov 2015, In: Nonlinear Analysis: Theory, Methods & Applications. 127, p. 1-16 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Vlasov equation 100%
  • Long-time Behavior 55%
  • Chaos theory 53%
  • Propagation of Chaos 38%
  • Wasserstein Metric 36%
  8 Citations (Scopus)

• Non-equilibrium thermodynamics of damped timoshenko and damped bresse systems

  Duong, M. H., 2015, In: Nonlinear Phenomena in Complex Systems. 18, 4, p. 410-428 19 p.

  Research output: Contribution to journal › Article › peer-review
• 2014

  Weakly nonequilibrium properties of a symmetric inclusion process with open boundaries

  Vafayi, K. & Duong, M. H., 20 Nov 2014, In: Physical Review E. 90, 5, p. 1-11 11 p., 052143.

  Research output: Contribution to journal › Article › peer-review

  • Non-equilibrium 100%
  • Entropy Production 77%
  • Inclusion 66%
  • inclusions 65%
  • First-order 56%
  1 Citation (Scopus)