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Henry P. McKean Jr. Selecta

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  • © 2015

Overview

Editors:
  1. F. Alberto Grünbaum

    1. Department of Mathematics, University of California, Berkeley, USA

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  2. Pierre van Moerbeke

    1. Institut de Recherche en Math_ematique at Physique, Department of Mathematics, Universit_e catholique de Louvain, Louvain-la-Neuve, Belgium, & Brandeis University, Waltham, USA

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  3. Victor H. Moll

    1. Tulane University, New Orleans, USA

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  • Includes essential papers that have generated considerable research in the respective areas
  • Presents co-authored works with Isadore M. Singer, Ito Kiyoshi, and Paul Samuelson
  • Features descriptive overviews of Henry P. McKean’s work in probability theory and integrable Systems
  • Includes supplementary material: sn.pub/extras

Part of the book series: Contemporary Mathematicians (CM)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-VII
    Download chapter PDF

  2. Personal Recollections

    • Henry P. McKean Jr.
    Pages 1-9

  3. My Debt to Henry P. McKean Jr.

    • David Williams
    Pages 11-13

  4. Henry P. McKean Jr. and Integrable Systems

    • Hermann Flaschka
    Pages 15-30

  5. Some Comments

    • Henry P. McKean Jr.
    Pages 31-48

  6. Some Words from Three Students

    • F. Alberto Grünbaum, Pierre van Moerbeke, Victor H. Moll
    Pages 49-52

  7. Curvature and the Eigenvalues of the Laplacian

    • H. P. McKean Jr., I. M. Singer
    Pages 53-76

  8. Hill’s Operator and Hyperelliptic Function Theory in the Presence of Infinitely Many Branch Points

    • Henry P. McKean Jr., E. Trubowitz
    Pages 77-137

  9. Book Reviews: Riemann Surfaces of Infinite Genus by J. Feldman, H. Knörrer, and E. Trubowitz. CRM Monograph series. Vol. 20, Amer. Math. Soc.

    • Henry P. McKean Jr.
    Pages 139-148

  10. Fredholm Determinants and the Camassa-Holm Hierarchy

    • Henry P. McKean Jr.
    Pages 149-187

  11. Breakdown of the Camassa-Holm Equation

    • Henry P. McKean Jr.
    Pages 189-193

  12. Rational Theory of Warrant Pricing

    • Paul A. Samuelson
    Pages 195-232

  13. Geometry of KdV (1): Addition and the Unimodular Spectral Classes

    • Henry P. McKean Jr.
    Pages 233-253

  14. Weighted Trigonometrical Approximation on ℝ1 with Application to the Germ Field of a Stationary Gaussian Noise

    • N. Levinson, H. P. McKean Jr.
    Pages 255-291

  15. Brownian Local Times

    • Henry P. McKean Jr.
    Pages 293-310

  16. Brownian Motions on a Half Line

    • K. Itô, H. P. McKean Jr.
    Pages 311-360

  17. The Spectrum of Hill’s Equation

    • H. P. McKean, P. van Moerbeke
    Pages 361-418
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Keywords

About this book

This volume presents a selection of papers by Henry P. McKean, which illustrate the various areas in mathematics in which he has made seminal contributions. Topics covered include probability theory, integrable systems, geometry and financial mathematics. Each paper represents a contribution by Prof. McKean, either alone or together with other researchers, that has had a profound influence in the respective area.

Editors and Affiliations

  • Department of Mathematics, University of California, Berkeley, USA

    F. Alberto Grünbaum

  • Institut de Recherche en Math_ematique at Physique, Department of Mathematics, Universit_e catholique de Louvain, Louvain-la-Neuve, Belgium, & Brandeis University, Waltham, USA

    Pierre van Moerbeke

  • Tulane University, New Orleans, USA

    Victor H. Moll

About the editors

Pierre van Moerbeke received his doctorate at the Rockefeller University under the supervision of Henry P. McKean, went on to having positions at the University of Paris (Orsay), Berkeley and Stanford, before sharing his time between the University of Louvain and Brandeis University.

Alberto Grünbaum received his doctorate at the Rockefeller University under the supervision of Marc Kac, and then went on to having positions at the Courant Institute, Caltech and Berkeley.

Victor H. Moll received his doctorate at Courant Institute of New York University under the supervision of Henry P. McKean. After an instructor position at Temple University in Philadelphia, he joined the Department of Mathematics at Tulane University.

Bibliographic Information

  • Book Title: Henry P. McKean Jr. Selecta

  • Editors: F. Alberto Grünbaum, Pierre van Moerbeke, Victor H. Moll

  • Series Title: Contemporary Mathematicians

  • DOI: https://doi.org/10.1007/978-3-319-22237-0

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-22236-3Published: 13 January 2016

  • Softcover ISBN: 978-3-319-79383-2Published: 31 March 2018

  • eBook ISBN: 978-3-319-22237-0Published: 31 December 2015

  • Series ISSN: 0884-7037

  • Edition Number: 1

  • Number of Pages: VII, 418

  • Number of Illustrations: 59 b/w illustrations

  • Topics: Mathematics, general

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