B. SIMON'S RECENT PAPERS IN PDF FORMAT
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- Zeros of OPUC and long time asymptotics of Schur and related flows, Inverse Problems and Imaging
1
(2007), 189-215
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- Fine structure of the zeros of orthogonal polynomials: A review,
Difference Equations, Special Functions and Orthogonal Polynomials (eds.
S. Elaydi et al.), World Scientific, Singapore (2007), 636-653.
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- (with Y. Last) Fine structure of the zeros of orthogonal
polynomials, IV. A priori bounds and clock behavior, to appear in Comm.
Pure Appl. Math.
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- Rank one perturbations and the zeros of paraorthogonal polynomials on the
unit circle, J. Math. Anal. Appl. 329 (2007), 376-382
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- Orthogonal polynomials with exponentially decaying
recursion coefficients, Probability and Mathematical Physics (eds. D.
Dawson, V. Jaksic and B. Vainberg), CRM Proc. and Lecture Notes 42
(2007), 453-463.
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- (with E.B. Davies) Eigenvalue
estimates for non-normal matrices and the zeros of random orthogonal
polynomials on the unit circle, J. Approx. Theory 141 (2006),
189-213
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- Meromorphic Jost functions and asymptotic series for Jacobi parameters,
Funct. Anal. Appl. 41 (2007), 143-153
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- (with Y. Last) The essential spectrum of Schrödinger, Jacobi, and CMV
operators, J. d'Analyse Math. 98 (2006), 183-220
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- Meromorphic Szegö functions and asymptotic series for Verblunsky
coefficients, Acta Math. 195 (2005), 267-285
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- (with D. Damanik)
Jost functions and Jost solutions for Jacobi matrices, I. A necessary and
sufficient condition for Szegö asymptotics, Invent. Math. 165
(2006), 1-50
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- Fine structure of the zeros of orthogonal polynomials, III. Periodic
recursion coefficients, Comm. Pure Appl. Math. 59
(2006) 1042-1062
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- Fine structure of the zeros of orthogonal polynomials, II. OPUC with
competing exponential decay, J. Approx.
Theory 135 (2005), 125-139
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- Fine structure of the zeros of orthogonal polynomials, I. A tale of two
pictures, Electronic Transactions on Numerical Analysis
25 (2006), 328-268
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- Aizenman's theorem for orthogonal polynomials on the unit
circle, Const. Approx. 23 (2006), 229-240
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- Ed Nelson's work in quantum theory, to appear in Proc. Analysis,
Probability and Logic: A conference in honor of Edward Nelson
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- Orthogonal polynomials on the unit circle: New results,
Int. Math. Res. Not. (2004), no. 53, 2837-2880
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- (with V. Totik) Limits of zeros of orthogonal polynomials on the circle,
Math. Nachr. 278 (2005), 1615-1620 (issue in honor
of F.V. Atkinson)
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- Analogs of the m-function in the theory of orthogonal polynomials
on the unit circle, J. Comp. Appl. Math. 171 (2004),
411-424
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- Sturm oscillation and comparison theorems, Sturm-Liouville Theory: Past
and Present (eds. W. Amrein, A. Hinz and D. Pearson), Birkhauser, Basel,
2005, pp. 29-43
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- (with D. Damanik and R. Killip) Necessary and sufficient
conditions in the spectral theory of Jacobi matrices and Schrödinger
operators,
Int. Math. Res. Not. (2004), no. 22, 1087-1097
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- Ratio asymptotics and weak asymptotic measures for orthogonal polynomials
on the real line, J. Approx. Theory 126 (2004),
198-217
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- (with F. Gesztesy) Connectedness of the isospectral
manifold for one-dimensional half-line Schrödinger operators,
J. Statist. Phys. 116 (2004), 361-365
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- A canonical factorization for meromorphic Herglotz
functions on the unit disk and sum rules for Jacobi matrices, J. Funct. Anal.
214 (2004), 396-409
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- The Golinskii-Ibragimov method and a theorem of
Damanik-Killip,
Int. Math. Res. Not. (2003), no. 36, 1973-1986
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- (with D. Hundertmark) A diamagnetic inequality for
semigroup differences, to appear in Crelle's Journal
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- (with D. Damanik, D. Hundertmark, and R. Killip) Variational estimates
for discrete Schrödinger operators with potentials of indefinite sign,
Commun. Math. Phys. 238 (2003), 545-562
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- (with D. Damanik and D. Hundertmark) Bound states and the Szegö
condition for Jacobi matrices and Schrödinger operators, J. Funct. Anal.
205 (2003), 357-379
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- (with S. Denisov) Zeros of orthogonal polynomials on the real line, J.
Approx. Theory 121 (2003), 357-364
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- (with A. Zlatos) Sum rules and the Szego condition for orthogonal
polynomials on the real line,
Commun. Math. Phys.
242 (2003), 393-423
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- (with R. Killip) Sum rules for Jacobi matrices and their applications to spectral
theory, Annals of Math. 158 (2003), 253-321
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- (with D. Hundertmark) Lieb-Thirring inequalities for Jacobi matrices, J. Approx.
Theory 118 (2002), 106-130
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- (with A. Kiselev and Y. Last) Stability of singular spectral types under decaying
perturbations, J. Funct. Anal. 198 (2003), 1-27
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- (with W. Kirsch) Approach to equilibrium for a forced Burgers equation, J. of
Evolution Equations 1 (2001), 411-419
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- (with D. Hundertmark) An optimal Lp-bound on the
Krein spectral shift function, J. d'Analyse Math. 87 (2002),
199-208 (volume dedicated to the memory of Tom Wolff)
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(Note: This paper supplants "Lp bounds
on the Krein spectral shift," preprint)
- Schrödinger operators in the twenty-first century, Mathematical Physics 2000 (eds.
A. Fokas, A. Grigoryan, T. Kibble and B. Zegarlinski), Imperial College, London, 283-288
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- (with F. Gesztesy) On local Borg-Marchenko uniqueness results, Commun. Math. Phys. 211
(2000), 273-287
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- A Feynman-Kac formula for unbounded semigroups, Intl. Conference on Infinite
Dimensional (Stochastic) Analysis and Quantum Physics, Leipzig
1999, Canadian Math. Soc. Conf. Proc. 28 (2000), 317-321
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- (with A. Ramm) A new approach to inverse spectral theory, III. Short-range potentials, J.
d'Analyse Math. 80 (2000), 319-334
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- (with F. Gesztesy) A new approach to inverse spectral theory, II. General real
potentials and the connection to the spectral measure, Annals of Math. 152
(2000), 593-643
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- A new approach to inverse spectral theory, I. Fundamental formalism, Annals of Math.
150 (1999), 1-29.
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- The classical moment problem as a self-adjoint finite difference operator, Advances
in Math. 137 (1998), 82-203
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- (with A. Kiselev and C. Remling) Effective perturbation methods for one-dimensional
Schrödinger operators, J. Diff. Eq. 151 (1999), 290-312
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- (with F. Gesztesy) On the determination of a potential from three spectra, to appear in
the Birman Birthday Volume in Advances in Mathematical Sciences
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- (Y. Last) Modified Prüfer and EFGP transforms and deterministic models with dense point
spectrum, J. Funct. Anal. 154 (1998), 513-530
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- (with R. del Rio and F. Gesztesy) Inverse spectral analysis with partial information on
the potential, III. Updating boundary conditions, Intl. Math. Research Notices,
(1997) no. 15, 751-758
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- (with A. Kiselev and Y. Last) Modified Prüfer and EFGP transforms and the spectral
analysis of one-dimensional Schrödinger operators, Commun. Math. Phys. 194
(1998), 1-45
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B. Simon's papers available from the University
of Texas Mathematical Physics Preprint Archive
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