Probability and Mathematical Physics Seminar

---

Soliton gases and extremal solutions of integrable nonlinear PDEs: Asymptotic analysis of deterministic and random multi-soliton solutions

Speaker: Kenneth McLaughlin, Tulane University

Location: Warren Weaver Hall 1302

Date: Friday, October 2, 2026, 11 a.m.

Synopsis:

If all goes to plan I will explain the terminology in the title, then describe the analysis of a random Riemann-Hilbert problem, and apply the method to the study of extremal solutions and soliton gases.  Convergence theorems and the overarching quest will be described.  I will focus mainly on joint work with Katerina Gkogkou and Guido Mazzuca.