Applied Probability Seminar
This is an informal seminar to give academic staff, visitors, graduate students, etc., based or hosted in Warwick (any department), the opportunity to know more about each other’s research on topics of probability and its uses in related areas such as mathematical statistics, statistical physics, computer sciences, analysis, et cetera.
PhD students and postdocs are particularly encouraged to contribute, as well as any external speaker from other departments or universities that you would like to invite. Please contact Karen Habermann if you wish to give a talk or if you have a name of speaker to suggest.
Below is a provisional schedule of the upcoming talks. Given the informal nature of the seminar, last minute changes may happen.
Venue: MB0.08 unless otherwise stated
Time: 11:00 unless otherwise stated
Academic Year 2024-25, Term 1
4 October 2024
Speaker: Oleg Zaboronski
Title: Work in progress: (i) Elliptic SPDE's and Dyson Brownian motions; (ii) from KPZ to TWD bypassing ASEP
Abstract: (i) It has been known since the work of Parisi-Sourlas in the 80's and its later rigorization by Landau et al and Gubinelli et all that elliptic SPDE's driven by white noise has certain exactly computable marginals. We find that particularly interesting examples of such marginals appear if the solution takes values in an interesting manifold. Unfortunately, a rigorous argument applicable to such situations is still lacking; (ii) There is a short derivation of the one-point height distribution for KPZ, which does not require either discretisation or the analysis of bound states for the attractive delta-Bose gas. Unfortunately, it relies on a non-rigorous analytical continuation from the KPZ with imaginary noise.
11 October 2024
Speaker: John Fernley
Title: Targeted immunization thresholds for the contact process on power-law trees
Abstract: Scale-free configuration models are intimately connected to power law Galton–Watson trees. It is known that contact process epidemics can propagate on these trees and therefore these networks with arbitrarily small infection rate, and this continues to be true after uniformly immunizing a small positive proportion of vertices. So, we instead immunize those with largest degree: above a threshold for the maximum permitted degree, we discover the epidemic with immunization has survival probability similar to without, by duality corresponding to comparable metastable density. With maximal degree below a threshold on the same order, this survival probability is severely reduced or zero. Based on joint work with Emmanuel Jacob (ENS de Lyon).
18 October 2024
Speaker: Hong Duong (University of Birmingham)
Title: Ergodicity and asymptotic limits for the generalized/relativistic Langevin dynamics
Abstract: We consider systems of interacting particles governed by the generalized/relativistic Langevin dynamics in the presence of singular repulsive interacting forces. 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 (the small-mass limit and Newtonian limit, respectively).
This talk is based on joint works with H. D. Nguyen (University of Tennessee).
References
[1] M. H. Duong and H. D. Nguyen. Asymptotic analysis for the generalized Langevin equation with singular potentials. Journal of Nonlinear Science, Volume 34, article number 62, 2024.
[2] M. H. Duong and H. D. Nguyen. Trend to equilibrium and Newtonian limit for the relativistic Langevin equation with singular potentials. arXiv:2409.05645Link opens in a new window, 2024.
25 October 2024
Speaker: Lukas Gräfner
1 November 2024
Speaker: Erik Jansson (Chalmers University of Technology)
8 November 2024
Speaker: Daniel Valesin
15 November 2024
Speaker: Elizabeth Baker (University of Copenhagen)
22 November 2024
Speaker: Isao Sauzedde
29 November 2024
Speaker:
6 December 2024
Speaker: Roger Tribe