Baik / Kriecherbauer / McLaughlin Discrete Orthogonal Polynomials

Asymptotics and Applications
Course Book
ISBN: 978-1-4008-3713-7
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 184 Seiten

Reihe: Annals of Mathematics Studies

J. Baik is Associate Professor of Mathematics at the University of Michigan. T. Kriecherbauer is Professor of Mathematics at Ruhr-Universität Bochum in Bochum, Germany. K. T.-R. McLaughlin is Professor of Mathematics at the University of Arizona. P. D. Miller is Associate Professor of Mathematics at the University of Michigan.

Autoren/Hrsg.

Baik, J.

Kriecherbauer, T.

McLaughlin, Kenneth Dean T-R

Miller, Peter D.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

Preface vii

Chapter 1. Introduction 1

Chapter 2. Asymptotics of General Discrete Orthogonal Polynomials in the Complex Plane 25

Chapter 3. Applications 49

Chapter 4. An Equivalent Riemann-Hilbert Problem 67

Chapter 5. Asymptotic Analysis 87

Chapter 6. Discrete Orthogonal Polynomials: Proofs of Theorems Stated in x2.3 105

Chapter 7. Universality: Proofs of Theorems Stated in x3.3 115

Appendix A. The Explicit Solution of Riemann-Hilbert Problem 5.1 135

Appendix B. Construction of the Hahn Equilibrium Measure: the Proof of Theorem 2.17 145

Appendix C. List of Important Symbols 153

Bibliography 163

Index 167

Über Autor(innen)

J. Baik is Associate Professor of Mathematics at the University of Michigan. T. Kriecherbauer is Professor of Mathematics at Ruhr-Universität Bochum in Bochum, Germany. K. T.-R. McLaughlin is Professor of Mathematics at the University of Arizona. P. D. Miller is Associate Professor of Mathematics at the University of Michigan.