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Exponential decay rate of survival probability in a disastrous random environment
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  • Published: July 1997

Exponential decay rate of survival probability in a disastrous random environment

  • Tokuzo Shiga1 

Probability Theory and Related Fields volume 108, pages 417–439 (1997)Cite this article

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Summary.

We study the exponential decay rate of the survival probability up to time t>0 of a random walker moving in Zopf;d in a temporally and spatially fluctuating random environment. When the random walker has a speed parameter κ>0, we investigate the influence of κ on the exponential decay rate λ(d,κ). In particular we prove that for any fixed d≥1, λ(d,κ) behaves like as logκ as κ↘0.

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Authors and Affiliations

  1. Department of Applied Physics, Tokyo Institute of Technology, Oh-okayama, Meguro, Tokyo 152, Japan (e-mail: shiga@ap.titech.ac.jp), , , , , , JP

    Tokuzo Shiga

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  1. Tokuzo Shiga
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Received: 21 May 1996 / In revised form: 2 February 1997

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Shiga, T. Exponential decay rate of survival probability in a disastrous random environment. Probab Theory Relat Fields 108, 417–439 (1997). https://doi.org/10.1007/s004400050115

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  • Issue Date: July 1997

  • DOI: https://doi.org/10.1007/s004400050115

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  • Mathematics Subject Classification (1991): Primary 60K35
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