A useful formula for periodic Jacobi matrices on trees
J Banks, J Breuer, J Garza-Vargas… - Proceedings of the …, 2024 - National Acad Sciences
We introduce a function of the density of states for periodic Jacobi matrices on trees and
prove a useful formula for it in terms of entries of the resolvent of the matrix and its “half-tree” …
prove a useful formula for it in terms of entries of the resolvent of the matrix and its “half-tree” …
Periodic Jacobi matrices on trees
We begin the systematic study of the spectral theory of periodic Jacobi matrices on trees
including a formal definition. The most significant result that appears here for the first time is …
including a formal definition. The most significant result that appears here for the first time is …
Twelve tales in mathematical physics: An expanded Heineman prize lecture
B Simon - Journal of Mathematical Physics, 2022 - pubs.aip.org
This is an extended version of my 2018 Heineman prize lecture describing the work for
which I got the prize. The citation is very broad, so this describes virtually all my work prior to …
which I got the prize. The citation is very broad, so this describes virtually all my work prior to …
Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs
G Mograby, R Balu, KA Okoudjou… - Journal of Spectral …, 2023 - ems.press
We study the spectral theory of a class of piecewise centrosymmetric Jacobi operators
defined on an associated family of substitution graphs. Given a finite centrosymmetric matrix …
defined on an associated family of substitution graphs. Given a finite centrosymmetric matrix …
Spectral Gaps for Jacobi Matrices on Graphs
J Breuer, E Seelig - arXiv preprint arXiv:2402.07202, 2024 - arxiv.org
arXiv:2402.07202v1 [math.SP] 11 Feb 2024 Page 1 arXiv:2402.07202v1 [math.SP] 11 Feb
2024 Spectral Gaps for Jacobi Matrices on Graphs Jonathan Breuer and Eyal Seelig ∗ In …
2024 Spectral Gaps for Jacobi Matrices on Graphs Jonathan Breuer and Eyal Seelig ∗ In …
Periodic boundary conditions for periodic Jacobi matrices on trees
We consider matrices on infinite trees which are universal covers of Jacobi matrices on finite
graphs. We are interested in the question of the existence of sequences of finite covers …
graphs. We are interested in the question of the existence of sequences of finite covers …
[HTML][HTML] Introduction to the Special Issue: In memory of Jean Bourgain
S Dyatlov, S Jitomirskaya, Z Rudnick - Journal of Mathematical Physics, 2022 - pubs.aip.org
This special issue is dedicated to the memory of Jean Bourgain. Bourgain was undoubtedly
one of the most outstanding mathematicians of our time. His achievements, vision, and …
one of the most outstanding mathematicians of our time. His achievements, vision, and …