The landscape law for the integrated density of states

Guy David, Marcel Filoche, Svitlana Mayboroda

Type: Article

Publication Date: 2021-08-05

Citations: 15

DOI: https://doi.org/10.1016/j.aim.2021.107946

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Advances in Mathematics - View - PDF
arXiv (Cornell University) - View - PDF
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+ PDF Chat	The exponential decay of eigenfunctions for tight-binding Hamiltonians via landscape and dual landscape functions	2020	Wei Wang Shiwen Zhang
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+ PDF Chat	Counting eigenvalues of Schrödinger operators using the landscape function	2024	Sven Bachmann Richard Froese Severin Schraven
+ PDF Chat	On an effective equation of the reduced Hartree-Fock theory	2023	Ilias Chenn Svitlana Mayboroda Wei Wang Shiwen Zhang
+ PDF Chat	The Landscape Law for Tight Binding Hamiltonians	2022	Douglas N. Arnold Marcel Filoche Svitlana Mayboroda Wei Wang Shiwen Zhang
+	Landscape approximation of the ground state eigenvalue for graphs and random hopping models	2022	Laura Shou Wei Wang Shiwen Zhang
+	Applications of the landscape function for Schrödinger operators with singular potentials and irregular magnetic fields	2024	Bruno Poggi
+ PDF Chat	Fast Localization of Eigenfunctions via Smoothed Potentials	2021	Jianfeng Lu Cody Murphey Stefan Steinerberger
+ PDF Chat	Two-sided Lieb–Thirring bounds	2024	Sven Bachmann Richard Froese Severin Schraven

Works Cited by This (22)

Action	Title	Year	Authors
+	On Elliptic Partial Differential Equations	2011	Louis Nirenberg
+	Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday	2007	Vladimir Maz’ya
+	An Invitation to Random Schroedinger operators	2007	Werner Kirsch
+ PDF Chat	Eigenvalue asymptotics and exponential decay of eigenfunctions for Schrödinger operators with magnetic fields	1996	Zhongwei Shen
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger
+	On bounds of N(λ) for a magnetic Schrödinger operator	1998	Zhongwei Shen
+	Elliptic Partial Differential Equations	2000	Qing Han Fanghua Lin
+	Lifschitz tails for the Anderson model	1985	Barry Simon
+	The uncertainty principle	1983	Charles Fefferman
+	On doubling properties for non-negative weak solutions of elliptic and parabolic PDE	2000	Kazuhiro Kurata