254 citations · 1.1k across the 85 of their papers we have counts for
88 papers
Fritz and Me-Perspectives in Inverse Spectral Theory
Barry Simon
This is a pedagogic introduction to certain aspects of inverse spectral theory for Schrödinger operators and Jacobi matrices that revolves around my joint work with Fritz Gesztesy…
Comparison of Ising Models Under Change of Apriori Measure
José Madrid, Barry Simon, Daniel R. Wells
We study comparison of correlation functions for ferromagnetic generalized Ising models with two different apriori measures. One purpose of this note is to publicize some unpublish…
The Strong Gauss Lucas Theorem and Analyticity of Correlation Functions via the Lee-Yang Theorem
Barry Simon
We provide a simple mechanism for going from Lee-Yang type theorems to analyticity of correlation functions by exploiting under appreciated inequalities of Newman. We also describe…
Periodic Boundary Conditions for Periodic Jacobi Matrices on Trees
Nir Avni, Jonathan Breuer, Gil Kalai +1
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 cov…
Twelve Tales in Mathematical Physics: An Expanded Heinemann Prize Lecture
Barry Simon
This is an extended version of my 2018 Heinemann prize lecture describing the work for which I got the prize. The citation is very broad so this describes virtually all my work pri…
Remarks on Periodic Jacobi Matrices on Trees
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
We look at periodic Jacobi matrices on trees. We provide upper and lower bounds on the gap of such operators analogous to the well known gap in the spectrum of the Laplacian on the…