Jun 24 – 28, 2024
Institut de Mathématiques de Toulouse
Europe/Paris timezone

Scattering resonances of large quantum graphs

Jun 26, 2024, 10:30 AM
55m
Institut de Mathématiques de Toulouse

Institut de Mathématiques de Toulouse

Université Paul Sabatier 118, route de Narbonne - Bat. 1R3 31062 Toulouse Cedex 9

Speaker

Maxime Ingremeau

Description

Open quantum graphs are singular one-dimensional objects, on which waves can escape towards infinity. The relevant spectral information to describe the behavior of such waves are the scattering resonances of the graph, which form an (infinite) set of complex numbers.
We will state old and new results concerning the location of these resonances, in particular in the asymptotic regime where the graph is large.

Presentation materials

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