Probability Seminar: Hong Duong - Ergodicity and asymptotic limits for the generalized/relativistic Langevin dynamics
| Dates: | 6 May 2026 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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Hong Duong (University of Birmingham) will speak at the Probability seminar.
Title: Ergodicity and asymptotic limits for the generalized/relativistic Langevin dynamics
Abstract: We consider systems of stochastically interacting particles governed by the generalized/relativistic Langevin dynamics in the presence of singular repulsive interacting forces, with additive/multiplicative noises. For each system, we establish a rate of convergence toward the unique invariant probability measure, which relies on novel construction of Lyapunov functions. We also study asymptotic limits of these systems when passing to the limit the interested parameters (e.g., the small-mass limit, the white-noise limit and Newtonian limit). This talk is based on joint works with H. D. Nguyen (University of Tennessee), W. Tao and E. Baker (University of Birmingham).
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Frank Adams 2
Alan Turing Building
Manchester
