Dia: Dimecres 15 d'octubre de 2025
Lloc: Aula T2 (segon pis), Facultat de Matemàtiques i Informàtica, UB.
A càrrec de: Otto Vaughn Osterman, University of Maryland
Títol: Length Spectrum Rigidity in Dispersing Billiard Systems
Resum: The problem of spectral rigidity in dispersing billiard systems is that of determining whether the perimeters of periodic orbits uniquely determine the billiard table up to isometry. We consider this problem for the class of dispersing billiard systems consisting of three convex scatterers in the plane satisfying the non-eclipse condition. We show that the perimeters of a particular set of periodic orbits for two such systems are identical if and only if their collision maps are locally analytically conjugated to each other near a particular homoclinic orbit.
Last updated: Mon Oct 13 13:36:49 2025