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Cone paths for the planar Brownian snake
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  • Published: 01 April 1997

Cone paths for the planar Brownian snake

  • John Verzani1 nA2 

Probability Theory and Related Fields volume 107, pages 517–526 (1997)Cite this article

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Summary.

For the Brownian path-valued process of Le Gall (or Brownian snake) in \({\Bbb R}^2\), the times at which the process is a cone path are considered as a function of the size of the cone and the terminal position of the path. The results show that the paths for the path-valued process have local properties unlike those of a standard Brownian motion.

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  1. John Verzani

    Present address: Department of Mathematics, College of Staten Island, 2800 Victory Blvd., 10314-6600, Staten Island, NY, USA

Authors and Affiliations

  1. Department of Mathematics, York University, M3J 1P3, North York, Ontario, Canada

    John Verzani

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  1. John Verzani
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Additional information

Received: 29 January 1996 / In revised form: 21 June 1996

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Cite this article

Verzani, J. Cone paths for the planar Brownian snake. Probab Theory Relat Fields 107, 517–526 (1997). https://doi.org/10.1007/s004400050096

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  • Published: 01 April 1997

  • Issue Date: April 1997

  • DOI: https://doi.org/10.1007/s004400050096

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  • Mathematics Subject Classification (1991): Primary 60G17, Secondary 60J80
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