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Limiting behaviour of the occupation of wedges by complex Brownian motion
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  • Published: March 1990

Limiting behaviour of the occupation of wedges by complex Brownian motion

  • T. S. Mountford1 

Probability Theory and Related Fields volume 84, pages 55–65 (1990)Cite this article

Summary

We prove a theorem which gives the lim inf behaviour ast tends to 0 for the amount of time a complex Brownian motion spends in a wedge with apex at the origin. The result is then shown to hold uniformly for all wedges a.s..

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Authors and Affiliations

  1. Department of Mathematics, University of California, 90024, Los Angeles, CA, USA

    T. S. Mountford

Authors
  1. T. S. Mountford
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Cite this article

Mountford, T.S. Limiting behaviour of the occupation of wedges by complex Brownian motion. Probab. Th. Rel. Fields 84, 55–65 (1990). https://doi.org/10.1007/BF01288558

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  • Received: 11 May 1987

  • Revised: 25 July 1988

  • Issue Date: March 1990

  • DOI: https://doi.org/10.1007/BF01288558

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Keywords

  • Stochastic Process
  • Brownian Motion
  • Probability Theory
  • Mathematical Biology
  • Complex Brownian Motion
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