64 citations · 73 across the 15 of their papers we have counts for
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math-ph2001
Lieb-Thirring Inequalities for Jacobi Matrices
Dirk Hundertmark, Barry Simon
For a Jacobi matrix J on l^2(Z_+) with Ju(n)=a_{n-1} u(n-1) + b_n u(n) + a_n u(n+1), we prove that \sum_{|E|>2} (E^2 -4)^{1/2} \leq \sum_n |b_n| + 4\sum_n |a_n -1|. We also prove b…
math-ph2001
Sum Rules for Jacobi Matrices and Their Applications to Spectral Theory
Rowan Killip, Barry Simon
We discuss the proof of and systematic application of Case's sum rules for Jacobi matrices. Of special interest is a linear combination of two of his sum rules which has strictly p…
math-ph2001
Approach to Equilibrium for a Forced Burgers Equation
W. Kirsch, B. Simon
We show that approach to equilibrium in certain forced Burgers equations is implied by a decay estimate on a suitable intrinsic semigroup estimate, and we verify this estimate in a…