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Exponential estimates for the Wiener sausage
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  • Published: June 1991

Exponential estimates for the Wiener sausage

  • M. van den Berg1 &
  • B. Tóth1 nAff2 

Probability Theory and Related Fields volume 88, pages 249–259 (1991)Cite this article

  • 106 Accesses

  • 9 Citations

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Summary

LetC ε (t) be the Wiener sausage of radius ε inR d up to timet. We obtain bounds on the asymptotics ofE exp (λ|C ε (t)|) ast→∞, for all λ>0.

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Author information

Author notes
  1. B. Tóth

    Present address: Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13-15, H-1035, Budapest

Authors and Affiliations

  1. Department of Mathematics, Heriot-Watt University, EH14 4AS, Edinburgh, Riccarton, UK

    M. van den Berg & B. Tóth

Authors
  1. M. van den Berg
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  2. B. Tóth
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van den Berg, M., Tóth, B. Exponential estimates for the Wiener sausage. Probab. Th. Rel. Fields 88, 249–259 (1991). https://doi.org/10.1007/BF01212561

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  • Received: 15 May 1990

  • Revised: 25 September 1990

  • Issue Date: June 1991

  • DOI: https://doi.org/10.1007/BF01212561

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Exponential Estimate
  • Wiener Sausage
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