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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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Strassen theorems for a class of iterated processes
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by Endre Csáki, Antónia Földes and Pál Révész PDF
Trans. Amer. Math. Soc. 349 (1997), 1153-1167 Request permission

Abstract:

A general direct Strassen theorem is proved for a class of stochastic processes and applied for iterated processes such as $W(L_t)$, where $W(\cdot )$ is a standard Wiener process and $L_.$ is a local time of a Lévy process independent from $W(\cdot )$.
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Additional Information
  • Endre Csáki
  • Affiliation: Mathematical Institute of the Hungarian Academy of Sciences, Budapest, P.O.B. 127, H-1364, Hungary
  • Email: csaki@novell.math-inst.hu
  • Antónia Földes
  • Affiliation: College of Staten Island, CUNY, 2800 Victory Blvd., Staten Island, New York 10314
  • Email: foldes@postbox.csi.cuny.edu
  • Pál Révész
  • Affiliation: Institut für Statistik und Wahrscheinlichkeitstheorie, Technische Universität Wien, A-1040 Wien, Austria
  • Email: revesz@ci.tuwien.ac.at
  • Received by editor(s): August 3, 1995
  • Additional Notes: The first author was supported by the Hungarian National Foundation for Scientific Research, Grant No. T 016384 and T 019346
    The second author was supported by a PSC CUNY Grant, No. 6-663642
  • © Copyright 1997 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 349 (1997), 1153-1167
  • MSC (1991): Primary 60J65; Secondary 60F15, 60F17
  • DOI: https://doi.org/10.1090/S0002-9947-97-01717-0
  • MathSciNet review: 1373631