Mathematical Physics Seminar, Tues, Apr 2, 4:30pm, Jadwin A06, Patrick Lopatto, Brown University, "The Mobility Edge of Lévy Matrices"

Apr 2, 2024, 4:30 pm5:30 pm



Event Description

Lévy matrices are symmetric random matrices whose entry distributions have power law tails and infinite variance. They are predicted to exhibit an Anderson-type phase transition separating a region of delocalized eigenvectors from one with localized eigenvectors. We will discuss the context for this conjecture, and describe a result establishing it when the power law exponent is close to zero or one. This is joint work with Amol Aggarwal and Charles Bordenave.

Department of Physics