<h1>Simon, Barry</h1> <h2>Book Chapter from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2> <ul> <li>Simon, Barry and van Enter, Aernout (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220301-900050000">Lattice Systems</a>; ISBN 9781118445112; Wiley StatsRef: Statistics Reference Online; 1-8; <a href="https://doi.org/10.1002/9781118445112.stat00085.pub2">10.1002/9781118445112.stat00085.pub2</a></li> <li>Christiansen, Jacob S. and Simon, Barry, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180807-111909106">Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik--Widom Bounds</a>; ISBN 978-3-030-31530-6; Analysis as a Tool in Mathematical Physics: In Memory of Boris Pavlov; 231-246; <a href="https://doi.org/10.1007/978-3-030-31531-3_15">10.1007/978-3-030-31531-3_15</a></li> <li>Simon, Barry (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190531-154921211">Tosio Kato's Work on Non-relativistic Quantum Mechanics: A Brief Report</a>; ISBN 9783030126605; Analysis and Operator Theory: Dedicated in Memory of Tosio Kato's 100th Birthday; 353-378; <a href="https://doi.org/10.1007/978-3-030-12661-2_16">10.1007/978-3-030-12661-2_16</a></li> <li>Simon, Barry (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170508-161208689">A Cayley-Hamiltonian Theorem for Periodic Finite Band Matrices</a>; ISBN 978-3-03719-175-0; Functional analysis and operator theory for quantum physics : Pavel Exner anniversary volume; 525-529; <a href="https://doi.org/10.4171/175-1/25">10.4171/175-1/25</a></li> <li>Simon, Barry (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180802-142924769">Ed Nelson's Work in Quantum Theory</a>; ISBN 978-1-4008-6525-3; Diffusion, Quantum Theory, and Radically Elementary Mathematics; 75-94; <a href="https://doi.org/10.1515/9781400865253.75">10.1515/9781400865253.75</a></li> <li>Simon, B. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141031-135217196">Spectral Theory of Orthogonal Polynomials</a>; ISBN 9789814449243; XVIIth International Congress on Mathematical Physics; 217-228; <a href="https://doi.org/10.1142/9789814449243_0012">10.1142/9789814449243_0012</a></li> <li>Christiansen, Jacob S. and Simon, Barry, el al. (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20140317-145017007">Finite gap Jacobi matrices: A review</a>; ISBN 978-0821875742; Spectral Analysis, Differential Equations and Mathematical Physics; 87-103; <a href="https://doi.org/10.48550/arXiv.1301.5073">10.48550/arXiv.1301.5073</a></li> <li>Simon, Barry (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100715-092306403">Fine Structure of the Zeros of Orthogonal Polynomials: A Progress Report</a>; ISBN 978-0-8218-4803-6; Recent Trends in Orthogonal Polynomials and Approximation Theory; 241-254</li> <li>Simon, Barry (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110107-080243062">Fine Structure of the Zeros of Orthogonal Polynomials: A Review</a>; ISBN 9789812706430; Proceedings of the international conference, difference equations, special functions and orthogonal polynomials : Munich, Germany, 25-30 July 2005; 636-653; <a href="https://doi.org/10.1142/9789812770752_0055">10.1142/9789812770752_0055</a></li> <li>Simon, Barry (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110107-081647098">Orthogonal polynomials with exponentially decaying recursion coefficients</a>; ISBN 9780821840894; Probability and mathematical physics : a volume in honor of Stanislav Molchanov; 453-463; <a href="https://doi.org/10.48550/arXiv.0603099">10.48550/arXiv.0603099</a></li> <li>Lieb, Elliott H. and Sigal, Israel M., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190823-105107387">Approximate Neutrality of Large-Z Ions</a>; ISBN 354022212X; The Stability of Matter: From Atoms to Stars: Selecta of Elliott H. Lieb; 103-112; <a href="https://doi.org/10.1007/3-540-27056-6_9">10.1007/3-540-27056-6_9</a></li> <li>Simon, Barry (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190828-102318098">Sturm Oscillation and Comparison Theorems</a>; ISBN 3764370661; Sturm-Liouville Theory; 29-43; <a href="https://doi.org/10.1007/3-7643-7359-8_2">10.1007/3-7643-7359-8_2</a></li> <li>Gesztesy, Fritz and Simon, Barry (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170918-110240939">On the determination of a potential from three spectra</a>; ISBN 978-0-8218-1387-4; Differential Operators and Spectral Theory; 85-92; <a href="https://doi.org/10.1090/trans2/189">10.1090/trans2/189</a></li> <li>Simon, Barry (1985) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201014-153714086">Some aspects of the theory of Schrödinger operators</a>; ISBN 9783540160359; Schrödinger Operators; 177-203; <a href="https://doi.org/10.1007/bfb0080333">10.1007/bfb0080333</a></li> <li>Simon, Barry (1982) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201007-081705982">Almost periodic Schröder operators: A review</a>; ISBN 9783540111924; Mathematical Problems in Theoretical Physics; 157; <a href="https://doi.org/10.1007/3-540-11192-1_30">10.1007/3-540-11192-1_30</a></li> </ul>