Barry Simon
Applied Mathematics · 1979–2019
A researcher in the Science corpus: 28 papers; trusts 50 researchers and is trusted by 48 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 68 citations into it; #279 of 7,620 by trust here, #355 by citations
- Mathematical Physics — 52 citations into it; #416 of 8,562 by trust here, #467 by citations
- Computational Theory and Mathematics — 43 citations into it; #901 of 12,182 by trust here, #1,463 by citations
- Statistical and Nonlinear Physics — 26 citations into it; #2,822 of 10,127 by trust here, #5,403 by citations
- Geometry and Topology — 18 citations into it; #6,338 of 7,422 by trust here, #4,709 by citations
- Numerical Analysis — 18 citations into it; #3,458 of 3,586 by trust here, #2,644 by citations
- Algebra and Number Theory — 13 citations into it
- Statistics and Probability — 11 citations into it; #7,814 of 12,932 by trust here, #8,279 by citations
Whom Barry Simon trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Rowan Killip
- Vilmos Totik
- Leandro Moral
- María José Cantero
- Sergey A. Denisov
- Freeman J. Dyson
- A. Ros
- Wolfram Koepf
- Yoram Last
- Tobin A. Driscoll
Who trusts Barry Simon overall
- David Damanik
- Rowan Killip
- Doron S. Lubinsky
- N. H. Bingham
- Sergey A. Denisov
- Dan Romik
- J. Toft
- John Watrous
- Mary Beth Ruskai
- Percy Deift
Papers from Barry Simon's perspective
Ordered by how strongly the researchers Barry Simon trusts endorse each paper. Same corpus, a different order for every researcher.
- Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
- Perturbation theory for linear operators
- Perturbations of one-dimensional Schrodinger operators preserving the absolutely continuous spectrum
- Random Matrices
- Measures and para orthogonal polynomials on the unit circle
- Sum rules for Jacobi matrices and their applications to spectral theory
- Statistical Theory of the Energy Levels of Complex Systems. I
- Matrix models for circular ensembles
- Analytic Theory of Continued Fractions
- A survey on orthogonal matrix polynomials satisfying second order differential equations
Their papers
- OPUC on one foot (2005) — 97 citations
- Resonances in One Dimension and Fredholm Determinants (2000) — 150 citations
- Sum rules for Jacobi matrices and their applications to spectral theory (2001) — 285 citations
- CMV matrices: Five years after (2006) — 180 citations
- Orthogonal polynomials on the unit circle: New results (2004) — 460 citations
- Two extensions of Lubinsky’s universality theorem (2008) — 83 citations
- The Analytic Theory of Matrix Orthogonal Polynomials (2007) — 238 citations
- Operator Theory: A Comprehensive Course in Analysis, Part 4 (2015) — 205 citations
- Loewner's Theorem on Monotone Matrix Functions (2019) — 88 citations
- A new approach to inverse spectral theory (2016) — 57 citations
- Basic Complex Analysis: A Comprehensive Course in Analysis, Part 2A (2015) — 83 citations
- Real Analysis: A Comprehensive Course in Analysis, Part 1 (2015) — 77 citations
- Eigenvalue bounds for Schrödinger operators with complex potentials. II (2015) — 157 citations
- Convexity: An Analytic Viewpoint (2011) — 147 citations
- Szego's Theorem and Its Descendants: Spectral Theory for L2 Perturbations of Orthogonal Polynomials (M. B. Porter Lectures) (2010) — 75 citations
- Szegő's Theorem and Its Descendants: Spectral Theory for L 2 Perturbations of Orthogonal Polynomials (2010) — 419 citations
- Schrödinger Operators with Purely Discrete Spectrum (2008) — 47 citations
- The Christoffel-Darboux Kernel (2008) — 137 citations
- EQUILIBRIUM MEASURES AND CAPACITIES IN SPECTRAL THEORY (2007) — 113 citations
- Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle (2006) — 50 citations