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My Debt to Henry P. McKean Jr.

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Part of the Contemporary Mathematicians book series (CM)

Abstract

I was very privileged to have had as research supervisors, David Kendall and Harry Reuter. I learnt a great deal from them and from Eugene Dynkin, André Meyer, and of course, Paul Lévy. But it has been to Henry McKean that I have most often turned for inspiration.

Keywords

Research Supervisor Wound Problems Henry Thinks Infinite-dimensional Sphere Krein Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Bibliography

  1. [1]
    R. M. Blumenthal, R. K. Getoor, and H. P. McKean. Markov processes with identical hitting distributions. Illinois J. Math., 6:402–420, 1962.MathSciNetzbMATHGoogle Scholar
  2. [2]
    H. Dym and H. P. McKean. Applications of the de Branges spaces of integral functions to the prediction of stationary Gaussian processes. Illinois J. Math., 14:299–343, 1970.MathSciNetzbMATHGoogle Scholar
  3. [3]
    H. Dym and H. P. McKean. Extrapolation and interpolation of stationary Gaussian processes. Ann. Math. Stat., 41:1819–1844, 1970.MathSciNetGoogle Scholar
  4. [4]
    W. Feller and H. P. McKean. A diffusion equivalent to a countable Markov chain. PNAS, 42:351–354, 1956.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    K. Itô and H. P. McKean. Brownian motion on a half line. Ill. J. Math., 7:181–231, 1963.zbMATHGoogle Scholar
  6. [6]
    R. R. London, H. P. McKean, L. C. G. Rogers, and D. Williams. A martingale approach to some Wiener-Hopf problems. Sem. Prob., Lecture Notes in Math., 920:41–90, 1982.Google Scholar
  7. [7]
    T. J. Lyons and H. P. McKean. Winding of the plane Brownian motion. Adv. Math., 51:212–225, 1984.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [8]
    H. P. McKean. Brownian motion with a several-dimensional time. Teor. Verojatnost. i Primenen., 8:357–378, 1963.MathSciNetGoogle Scholar
  9. [9]
    H. P. McKean. A winding problem for a resonator driven by a white noise. J. Math. Kyôto Univ., 2:228–295, 1963.MathSciNetGoogle Scholar
  10. [10]
    H. P. McKean. A free boundary problem for the heat equation arising from a problem in mathematical economics. Ind. Management Rev., 6:32–39, 1965.MathSciNetGoogle Scholar
  11. [11]
    H. P. McKean. Geometry of differential space. Ann. Prob., 1:197–206, 1973.MathSciNetCrossRefzbMATHGoogle Scholar
  12. [12]
    H. P. McKean. Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piscounov. Comm. Pure Appl. Math., 28:323–331, 1975.MathSciNetCrossRefzbMATHGoogle Scholar
  13. [13]
    H. P. McKean. Brownian local times. Adv. Math., 16:91–111, 1975.MathSciNetCrossRefzbMATHGoogle Scholar
  14. [14]
    H. P. McKean and V. H. Moll. Elliptic Curves: Function Theory, Geometry, Arithmetic. Cambridge University Press, New York, 1997.CrossRefzbMATHGoogle Scholar
  15. [15]
    D. Sullivan and H. P. McKean. Brownian motion and harmonic functions on the class surface of the thrice-punctured sphere. Adv. Math., 51:203–211, 1984.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Wales Institute of Mathematical and Computational Sciences (WIMCS)Swansea UniversitySwanseaUK

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