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Young Seminar
Organizers: Douglas Lundholm (IHP) & Julien Sabin (Cergy)


Constanza Rojas-Molina (FSMP): "Quantitative unique continuation principles and Anderson localization"
Wednesday 17 April 2013, 14:00 - 15:00
Amphi Darboux


Abstract: In this talk we will discuss the role of quantitative unique continuation principles in proofs of dynamical, and in particular, Anderson localization for random Schrödinger operators, through the Multiscale Analysis method. We will focus in the case where the impurities that characterize the disordered medium follow an aperiodic spatial structure, representing disordered quasicrystals, also known as Delone-Anderson models. We will show one can obtain quantitative versions of the unique continuation principle for eigenfunctions of finite-volume random operators, that are uniform in the volume scale. These concentration estimates are the key to prove the main ingredients to perform the Multiscale Analysis. We will review recent results and further applications of these estimates in the study of dynamical localization in aperiodic (random) media. This talk is based on joint work with I. Veselic'.