64 citations · 73 across the 15 of their papers we have counts for
5 papers · 1 filter
Higher-Order Szego Theorems With Two Singular Points
Barry Simon, Andrej Zlatos
We consider probability measures, $dμ=w(θ) \f{dθ}{2π} +dμ_\s$, on the unit circle, $\partial\bbD$, with Verblunsky coefficients, . We prove for i…
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…
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…
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…
A Feynman-Kac Formula for Unbounded Semigroups
Barry Simon
We prove a Feynman-Kac formula for Schrodinger operators with potentials V(x) that obey (for all ε> 0): V(x) \geq - ε|x|^2 - C_ε. Even though e^{-tH} is an unbounded operator, any…