Math Seminar Series
(Conferences / Seminars / Lectures)
Shiwen Zhang, U Minnesota, will be speaking. more information...
The presentation is titled "The landscape law for tight binding Hamiltonians."
Contact Jeffrey Hudson Schenker (firstname.lastname@example.org) for more information.
The localization landscape theory, introduced in 2012 by Filoche and Mayboroda, considers the so-called the landscape function u solving Hu=1 for an operator H. The landscape theory has remarkable power in studying the eigenvalue problems of H and has led to numerous landscape baked'' results in mathematics, as well as in theoretical and experimental physics. In this talk, we will discuss some recent results of the landscape theory for tight-binding Hamiltonians H=-Delta+V on Z^d.