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Boris Shapiro: Deterministic and random crossing points in mathematical physics

Tid: Ti 2024-02-13 kl 13.15 - 14.15

Plats: KTH, 3721, Lindstedsvägen 25

Medverkande: Boris Shapiro (Stockholm University)


Pencils of linear operators are indispensable in perturbation theory and mathematical physics in general. Crossing points are the value of the perturbation parameter for which the corresponding linear operator has a non-simple spectrum. In my talk I give some physically motivated examples of both deterministic and random pencils of operators as well as some information about the location and distribution of their crossing points.