Random tangled currents and the continuity of the phase transition for $\phi^4$ (Christoforos Panagiotis, University of Bath)

08.04.2024 16:15 – 18:15

In this talk, I will give an overview of my recent work on $\varphi^4$ with Trishen Gunaratnam, Romain Panis and Franco Severo. I will describe the random tangled current representation and discuss how we used it to prove that the phase transition of the $\varphi^4$ model is continuous in dimensions $d\geq 3$, and to characterise the structure of translation invariant Gibbs measures. Along the way, I will mention some open problems and our ongoing work on the supercritical behaviour of $\varphi^4$.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire "Maths-Physique"

entrée libre