Joint BCAM-UPV/EHU Analysis and PDE seminar: Principal Eigenvalue and Landscape Function of the Anderson Model on a Large Box

Date: Thu, May 26 2022

Hour: 12:00

Location: Online

Speakers: Daniel Sánchez Mendoza


We state a precise formulation of a conjecture concerning the product of the principal eigenvalue and the sup-norm of the landscape function of the Anderson model restricted to a large box. We first provide the asymptotic of the principal eigenvalue as the size of the box grows and then use it to give a partial proof of the conjecture. For a special case in one dimension we give a complete proof.

Link to the session:

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Université de Strasbourg

Confirmed speakers:

Daniel Sánchez Mendoza