SAMPLE PATH PROPERTY OF CHENTSOV FIELDS

  • Kim, Joo-Mok (Department of Mathematics Semyung University)
  • Received : 1998.06.30
  • Published : 1998.07.31

Abstract

Let {X(t), $t{\in}\mathbb{R}^n$} be a $S{\alpha}S$ H-sssis Chentsov random field with control measure m. We consider a geometric construction for L$\acute{e}$vy-Chentsov random fields and Takenaka random fields. Finally, we proved some property of conjugate classes and a.s. H$\ddot{o}$lder unboundedness of $S{\alpha}S$ H-sssis Chentsov random fields for all order ${\gamma}$ > H.

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