Asymptotic Expansions for a Class of Fredholm Pfaffians and Interacting Particle Systems

Quand : 5 juin 2026 à 14:00

Où : IHES

Organisé par : Institut Henri Poincaré

Séminaire d'Analyse Motivated by the phenomenon of duality for interacting particle systems we introduce two classes of Pfaffian kernels describing a number of Pfaffian point processes in the "bulk" and at the "edge". Using the probabilistic method due to Mark Kac, we prove two Szegő-type asymptotic expansion theorems for the corresponding Fredholm Pfaffians. The idea of the proof is to introduce