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Uniform variation results for Brownian motion

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Publication:4187121
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DOI10.1007/BF00533815zbMath0402.60079MaRDI QIDQ4187121

O. O. Ugbebor

Publication date: 1980

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)


zbMATH Keywords

Brownian MotionAsymptotic BehaviourModulus of ContinuityUniform Variation


Mathematics Subject Classification ID

Brownian motion (60J65)


Related Items (1)

Almost-sure path properties of \((2,d,\beta)\)-superprocesses




Cites Work

  • Unnamed Item
  • On the Lipschitz's condition for Brownian motion
  • Sample functions of the \(N\)-parameter Wiener process
  • Exact asymptotic estimates of Brownian path variation
  • On the uniform continuity of Wiener process
  • First Passage times and Sojourn Times for Brownian Motion in Space and the Exact Hausdorff Measure of the Sample Path
  • The Asymptotic Distribution of the Range of Sums of Independent Random Variables
  • A note on the Borel-Cantelli lemma




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