Slices of a Brownian Sheet: New Results and Open Problems

  • Davar Khoshnevisan
Conference paper

DOI: 10.1007/978-3-7643-8458-6_9

Part of the Progress in Probability book series (PRPR, volume 59)
Cite this paper as:
Khoshnevisan D. (2007) Slices of a Brownian Sheet: New Results and Open Problems. In: Dalang R.C., Russo F., Dozzi M. (eds) Seminar on Stochastic Analysis, Random Fields and Applications V. Progress in Probability, vol 59. Birkhäuser Basel

Abstract

We can view a Brownian sheet as a sequence of interacting Brownian motions or slices. Here we present a number of results about the slices of the sheet. A common feature of our results is that they exhibit phase transition. In addition, a number of open problems are presented.

Keywords

Brownian sheet capacity dimension 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2007

Authors and Affiliations

  • Davar Khoshnevisan
    • 1
  1. 1.Department of MathematicsThe University of UtahSalt Lake CityUSA

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