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Black holes on the plane drawn by a Wiener process
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  • Published: March 1992

Black holes on the plane drawn by a Wiener process

  • P. Révész1 

Probability Theory and Related Fields volume 93, pages 21–37 (1992)Cite this article

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  • 2 Citations

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Summary

We say that the discD(α)⊂R 2, of radius α, located around the origin isp-covered in timeT by a Wiener processW(·) if for anyzεD(α) there exists a 0≦t≦T such thatW(t) is a point of the disc of radiusp, located aroundz. The supremum of those α's (α≧0) is studied for which,D(α) isp-covered inT.

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References

  1. Knight, F.B.: Essentials of Brownian motion and diffusion. Providence, R.I.: Am Math. Soc. 103 (1981)

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  2. Révész, P.: Random walk in random and non-random environments Singapore: World Scientific 1990

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  3. Révész, P.: Clusters of a random walk on the plane. Ann. Probab. (to appear) (1992)

  4. Révész, P.: Clusters of a random walk on the plane II. (Manuscript)

  5. Spitzer, F.: Some theorems concerning 2-dimensional Brownian motion. Ann. Math. Soc.87, 187–197 (1958)

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Authors and Affiliations

  1. Institut, für Statistik und Wahrscheinlichkeitstheorie, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040, Wien, Austria

    P. Révész

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  1. P. Révész
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Révész, P. Black holes on the plane drawn by a Wiener process. Probab. Th. Rel. Fields 93, 21–37 (1992). https://doi.org/10.1007/BF01195386

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  • Received: 01 August 1991

  • Revised: 03 December 1991

  • Issue Date: March 1992

  • DOI: https://doi.org/10.1007/BF01195386

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Mathematics Subject Classifications (1991)

  • 60F15
  • 60J65
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