"Spectral Theory and Mathematical Physics"

In honor of Vladimir Georgescu



Cergy-Pontoise, June 21-24, 2016.





Photo Credit: Cergy - Axe majeur, www.cergypontoise.fr/jcms/p2_85721/fr/le-patrimoine-moderne





Program

Spyros Alexakis
Kaïs Ammari
Jean-Marc Bouclet
Jan Derezinski

Clotilde Fermanian Kammerer

Christian Gérard

Sylvain Golénia

Dietrich Häfner

Matti Lassas

Mathieu Lewin

Jacob Schach Moller

Francis Nier

Victor Nistor

Benoit Pausader



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Kais Ammari: Schrödinger operator on some graphs : stabilization and dispersive effects

Abstract: In this talk we analyse the spectrum of the dissipative Schrödinger operator on binary tree-shaped networks. As applications, we study the stability of the Schrödinger system using a Riesz basis as well as the transfer function associated to the system. Moreover, we study the dispersive effects associated to the Schrödinger operator with potential on star-shaped network and to the free Schrödinger operator on a tadpole graph.