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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Picard’s theorem and Brownian motion
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by Burgess Davis PDF
Trans. Amer. Math. Soc. 213 (1975), 353-362 Request permission

Abstract:

Properties of the paths of two dimensional Brownian motion are used as the basis of a proof of the little Picard theorem and its analog for complex valued functions, defined on simply connected n dimensional manifolds, which map certain diffusions into Brownian motion.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 213 (1975), 353-362
  • MSC: Primary 60J65; Secondary 30A70
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0397900-8
  • MathSciNet review: 0397900