Dr Hong Duong PhD

Dr Hong Duong

School of Mathematics
Lecturer in Mathematical Statistics

Contact details

Email
h.duong@bham.ac.uk
View my research portal
Address
School of Mathematics
University of Birmingham
Edgbaston
Birmingham
B15 2TT
UK

Hong Duong is a Lecturer in Mathematical/Statistics. His research interests lie in the intersections of analysis and applied probability. Most of his research are inspired from applications in molecular dynamics, material sciences and biological systems. He has been teaching a wide range of mathematical courses including Calculus, Linear algebra and linear programming, and Partial differential equations. He has also organized a number of international workshops including a workshop on analytic approaches to scaling limits for random systems at the Hausdorff Research Institute for Mathematics in Spring 2015. If you are interested in working with him, he would be happy to hear from you.

Qualifications

  • PhD in Mathematics, Cumlaude, Marie-Curie PhD Fellowship jointly between University of Bath (UK) and Eindhoven University of Technology (the Netherlands), 2014.
  • MSc in Industrial and Applied Mathematics, Erasmus Mundus Master Program jointly between Eindhoven University of Technology (the Netherlands) and Kaiserslautern University of Technology (Germany), 2010.
  • BSc in Applied Mathematics and Informatics, Hanoi University of Science and Technology (Vietnam), 2006.

Biography

Hong Duong qualified with a BSc (Hons) in Applied Mathematics and Informatics from Hanoi University of Science and Technology in June 2006. From August 2006 to July 2008, he worked as a junior researcher at Hanoi Institute of Mathematics, Vietnam Academy of Science and Technology. From August 2008 to August 2010, he studied Industrial and Applied Mathematics in the Erasmus Mundus Master Program  at Eindhoven University of Technology (the Netherlands) and Kaiserslautern University of Technology (Germany).

From October 2010 to September 2014, he was doing his PhD as a Marie-Curie Fellowship funded by the European project Fronts and Interfaces in Science and Technology at the University of Bath (UK) and Eindhoven University of Technology (the Netherlands). He obtained his PhD in Mathematics (Cumlaude) in September 2014. From October 2014 to September 2017, he was a research fellow at University of Warwick (UK) working on the multiscale analysis of material defects. From October 2017 to July 2018, he was a Chapman fellow at Imperial College London working on the intersections of analysis and probability. He has been appointed a Lecturer in Mathematical/Statistics in the Shool of Mathematics, University of Birmingham in July 2018.

Teaching

Linear Algebra and Linear Programming, Jinan-Birmingham dual degree undergraduate programmes.

Postgraduate supervision

Current and previous doctoral students include:

  • Upanshu Sharma, Eindhoven University of Technology, graduation January 2017, joint supervision with Professor Mark Peletier.

Hong Duong is keen to supervise students in a number of research directions, in particular, partial differential equations, interacting particle systems, evolutionary game theory and population dynamics. Please see his research interests and publications for more details. If you are interested in working with him, he would be happy to hear from you.

Research

Hong’s research interests lie in the intersections of analysis and applied probability. Most of his research are inspired from applications in molecular dynamics, material sciences and biological systems. Specifically, he has been working on:

  • Interplay between interacting particle systems, large-deviation principles and partial differential equations,
  • Coarse graining of atomistic models for material defects at finite temperature,
  • Evolutionary game theory and population dynamics,
  • Random polynomial theory.

Other activities

Hong Duong has (co)-organized a number of workshops/seminars including the workshop "Analytic approaches to scaling limits for random systems" at the Hausdorff Research Institute for Mathematics in Spring 2015.

Publications

Recent publications

Article

Braun, J, Duong, MH & Ortner, C 2020, 'Thermodynamic limit of the transition rate of a crystalline defect', Archive for Rational Mechanics and Analysis, vol. 238, pp. 1413-1474. https://doi.org/10.1007/s00205-020-01568-6

Duong, MH & Jin, B 2020, 'Wasserstein gradient flow formulation of the time-fractional Fokker-Planck equation', Communications in Mathematical Sciences, vol. 18, no. 7, pp. 1949–1975. https://doi.org/10.4310/CMS.2020.v18.n7.a6

Duong, MH & Lu, Y 2019, 'An operator splitting scheme for the fractional kinetic Fokker-Planck equation', Discrete and Continuous Dynamical Systems - Series A, vol. 39, no. 10, pp. 5707-5727. https://doi.org/10.3934/dcds.2019250

Duong, MH & Tugaut, J 2019, 'Coupled McKean-Vlasov diffusions: wellposedness, propagation of chaos and invariant measures', Stochastics: an international journal of probablity and stochastic processes. https://doi.org/10.1080/17442508.2019.1677663

Duong, MH & Pavliotis, GA 2019, 'Mean field limits for non-Markovian interacting particles: convergence to equilibrium, GENERIC formalism, asymptotic limits and phase transitions', Communications in Mathematical Sciences, vol. 16, no. 8, pp. 2199 – 2230. https://doi.org/10.4310/CMS.2018.v16.n8.a7

Duong, MH & Han, TA 2019, 'On Equilibrium Properties of the Replicator–Mutator Equation in Deterministic and Random Games', Dynamic Games and Applications. https://doi.org/10.1007/s13235-019-00338-8

Can, VH, Duong, MH & Pham, VH 2019, 'Persistence probability of a random polynomial arising from evolutionary game theory', Journal of Applied Probability, vol. 56, no. 3, pp. 870-890. https://doi.org/10.1017/jpr.2019.50

Evers, JHM, Zisis, IA, van der Linden, BJ & Duong, MH 2018, 'From continuum mechanics to SPH particle systems and back: Systematic derivation and convergence', ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 98, no. 1, pp. 106-133. https://doi.org/10.1002/zamm.201600077

Duong, MH, Tran, HM & Han, TA 2018, 'On the Expected Number of Internal Equilibria in Random Evolutionary Games with Correlated Payoff Matrix', Dynamic Games and Applications. https://doi.org/10.1007/s13235-018-0276-4

Duong, H, Tran, HM & Han, TA 2018, 'On the distribution of the number of internal equilibria in random evolutionary games', Journal of Mathematical Biology, pp. 1-41. https://doi.org/10.1007/s00285-018-1276-0

Duong, MH & Tran, HM 2018, 'On the fundamental solution and a variational formulation for a degenerate diffusion of kolmogorov type', Discrete and Continuous Dynamical Systems - Series S, vol. 38, no. 7, pp. 3407-3438. https://doi.org/10.3934/dcds.2018146

Duong, H, Lamacz, A, Peletier, MA, Schlichting, A & Sharma, U 2018, 'Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics', Nonlinearity, vol. 31, no. 10, pp. 4517-4566. https://doi.org/10.1088/1361-6544/aaced5

Duong, MH & Tugaut, J 2018, 'The Vlasov-Fokker-Planck equation in non-convex landscapes: Convergence to equilibrium', Electronic Communications in Probability, vol. 23, 19. https://doi.org/10.1214/18-ECP116

Duong, MH & Tran, HM 2017, 'Analysis of the mean squared derivative cost function', Mathematical Methods in the Applied Sciences, vol. 40, no. 14, pp. 5222-5240. https://doi.org/10.1002/mma.4382

Chapter (peer-reviewed)

Duong, MH & Han, TA 2019, On the Expected Number and Distribution of Equilibria in Multi-player Evolutionary Games. in ALIFE 2019: The 2019 Conference on Artificial Life. MIT Press.

View all publications in research portal