Publications (74)
Sum rules and spectral measures of Schrodinger operators with L^2 potentials
Rowan Killip, Barry Simon
Jost Functions and Jost Solutions for Jacobi Matrices, I. A Necessary and Sufficient Condition for Szego Asymptotics
David Damanik, Barry Simon
OPUC on One Foot
Barry Simon
Necessary and Sufficient Conditions in the Spectral Theory of Jacobi Matrices and Schrödinger Operators
David Damanik, Rowan Killip, Barry Simon
Asymptotics of Chebyshev Polynomials, III. Sets Saturating SzegÅ, Schiefermayr, and Totik--Widom Bounds
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
Sum Rules for Jacobi Matrices and Their Applications to Spectral Theory
Rowan Killip, Barry Simon
A new approach to inverse spectral theory, I. Fundamental formalism
Barry Simon
Trace formulae and inverse spectral theory for Schrödinger operators
Fritz Gesztesy, Helge Holden, Barry Simon +1
Asymptotics of Chebyshev Polynomials, II. DCT Subsets of $\mathbb{R}$
Jacob S. Christiansen, Barry Simon, Peter Yuditskii +1
Large Deviations and the Lukic Conjecture
Jonathan Breuer, Barry Simon, Ofer Zeitouni
Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrodinger operators
Yoram Last, Barry Simon
Critical Lieb-Thirring bounds for one-dimensional Schrodinger operators and Jacobi matrices with regular ground states
Barry Simon
Fine Structure of the Zeros of Orthogonal Polynomials, IV. A Priori Bounds and Clock Behavior
Yoram Last, Barry Simon
Fine structure of the zeros of orthogonal polynomials, III. Periodic recursion coefficients
Barry Simon
A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure
Fritz Gesztesy, Barry Simon
Finite Gap Jacobi Matrices: A Review
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
Tosio Kato's Work on Non--Relativistic Quantum Mechanics
Barry Simon
Tosio Kato's Work on Non-Relativistic Quantum Mechanics: An Outline
Barry Simon
Singular continuous spectrum is generic
Rafael del Rio, Svetlana Ya. Jitomirskaya, Nikolai G. Makarov +1
Fine Structure of the Zeros of Orthogonal Polynomials, I. A Tale of Two Pictures
Barry Simon
Jost functions and Jost solutions for Jacobi matrices, III. Asymptotic series for decay and meromorphicity
Barry Simon
Variational Estimates for Discrete Schrödinger Operators with Potentials of Indefinite Sign
David Damanik, Dirk Hundertmark, Rowan Killip +1
Aizenman's Theorem for Orthogonal Polynomials on the Unit Circle
Barry Simon
Orthogonal polynomials on the unit circle: New results
Barry Simon
Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach
Jonathan Breuer, Barry Simon, Ofer Zeitouni
Jost Functions and Jost Solutions for Jacobi Matrices, II. Decay and Analyticity
David Damanik, Barry Simon
Sum Rules and the Szego Condition for Orthogonal Polynomials on the Real Line
Barry Simon, Andrej Zlatos
Schroedinger Operators With Few Bound States
David Damanik, Rowan Killip, Barry Simon
Bulk Universality and Clock Spacing of Zeros for Ergodic Jacobi Matrices with A.C. Spectrum
Artur Avila, Yoram Last, Barry Simon
Zeros of OPUC and Long Time Asymptotics of Schur and Related Flows
Barry Simon
Limits of Zeros of Orthogonal Polynomials on the Circle
Barry Simon, Vilmos Totik
Orthogonal polynomials with exponentially decaying recursion coefficients
Barry Simon
Poisson Brackets of Orthogonal Polynomials
Maria Jose Cantero, Barry Simon
Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients
David Damanik, Rowan Killip, Barry Simon
The sharp form of the strong Szego theorem
Barry Simon
Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle
Barry Simon
Higher-Order Szego Theorems With Two Singular Points
Barry Simon, Andrej Zlatos
The Nevai Condition
Jonathan Breuer, Yoram Last, Barry Simon
Fine Structure of the Zeros of Orthogonal Polynomials, II. OPUC With Competing Exponential Decay
Barry Simon
Natural Boundaries and Spectral Theory
Jonathan Breuer, Barry Simon
Meromorphic Szego functions and asymptotic series for Verblunsky coefficients
Barry Simon
Schrodinger Operators with Purely Discrete Spectrum
Barry Simon
CMV matrices: Five years after
Barry Simon
On a theorem of Kac and Gilbert
Barry Simon
Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle
E. B. Davies, Barry Simon
Lieb-Thirring Inequalities for Jacobi Matrices
Dirk Hundertmark, Barry Simon
Unitaries Permuting Two Orthogonal Projections
Barry Simon
Eigenvalue Bounds for Perturbations of Schrodinger Operators and Jacobi Matrices With Regular Ground States
Rupert L. Frank, Barry Simon, Timo Weidl
Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schrödinger Operators
Fritz Gesztesy, Barry Simon
A Feynman-Kac Formula for Unbounded Semigroups
Barry Simon
Asymptotics of the L^2 Norm of Derivatives of OPUC
Andrei Martinez-Finkelshtein, Barry Simon
Eigenvalue bounds for Schrödinger operators with complex potentials. II
Rupert L. Frank, Barry Simon
Equilibrium measures and capacities in spectral theory
Barry Simon
Equality of the Spectral and Dynamical Definitions of Reflection
Jonathan Breuer, Eric Ryckman, Barry Simon
Stability of Asymptotics of Christoffel-Darboux Kernels
Jonathan Breuer, Yoram Last, Barry Simon
Spectral Theory Sum Rules, Meromorphic Herglotz Functions and Large Deviations
Barry Simon
The Analytic Theory of Matrix Orthogonal Polynomials
David Damanik, Alexander Pushnitski, Barry Simon
Regularity and the Cesaro-Nevai class
Barry Simon
On the Koplienko spectral shift function, I. Basics
Fritz Gesztesy, Alexander Pushnitski, Barry Simon
Condensation of fermion pairs in a domain
Rupert L. Frank, Marius Lemm, Barry Simon
Sturm Oscillation and Comparison Theorems
Barry Simon
Zeros of orthogonal polynomials on the real line
Sergey A. Denisov, Barry Simon
Eigenvalue bounds in the gaps of Schrodinger operators and Jacobi matrices
Dirk Hundertmark, Barry Simon
Bound States and the Szego Condition for Jacobi Matrices and Schrodinger Operators
David Damanik, Dirk Hundertmark, Barry Simon
Analogs of the M-Function in the Theory of Orthogonal Polynomials on the Unit Circle
Barry Simon
Weak convergence of CD kernels and applications
Barry Simon
Asymptotics of Chebyshev Polynomials, IV. Comments on the Complex Case
Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
The Hilbert Transform of a Measure
Alexei Poltoratski, Barry Simon, Maxim Zinchenko
Monotone Jacobi parameters and non-Szego weights
Yury Kreimer, Yoram Last, Barry Simon
Charge Deficiency, Charge Transport and Comparison of Dimensions
Joseph E. Avron, Ruedi Seiler, Barry Simon
The Christoffel-Darboux Kernel
Barry Simon
Similarity between two projections
Albrecht Boettcher, Barry Simon, Ilya Spitkovsky
The essential spectrum of Schrodinger, Jacobi, and CMV operators
Yoram Last, Barry Simon
The Classical Moment Problem as a Self-Adjoint Finite Difference Operator
Barry Simon