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Points cônes du mouvement brownien plan, le cas critique
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  • Published: June 1992

Points cônes du mouvement brownien plan, le cas critique

  • J. F. Le Gall1 &
  • T. Meyre1 

Probability Theory and Related Fields volume 93, pages 231–247 (1992)Cite this article

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Summary

LetB=(B t,t≧0) be a planar Brownian motion and let α>0. For anyt≧0, the pointz=B t is called a one-sided cone point with angle α if there exist ε>0 and a wedgeW(α,z) with vertexz and angle α such thatB s∈W(α,z) for everys∈[t, t+ε]. Burdzy and Shimura have shown independently that one-sided cone points with angle α exist when α>π/2 but not when α<π/2. The present paper deals with the critical case α=π/2. We show that cone points with angle π/2 do not exist.

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References

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Authors and Affiliations

  1. Laboratoire de Probabilités, Université Pierre et Marie Curie, 4, Place Jussieu, F-75252, Paris Cedex 05, France

    J. F. Le Gall & T. Meyre

Authors
  1. J. F. Le Gall
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  2. T. Meyre
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Cite this article

Le Gall, J.F., Meyre, T. Points cônes du mouvement brownien plan, le cas critique. Probab. Th. Rel. Fields 93, 231–247 (1992). https://doi.org/10.1007/BF01195230

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  • Received: 08 April 1991

  • Revised: 19 December 1991

  • Issue Date: June 1992

  • DOI: https://doi.org/10.1007/BF01195230

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