HAUSDORFF DIMENSION OF THE DOUBLE POINT SET OF THE WESTWATER PROCESS

摘要

Let X={Xi}t∈[0,1]be the Westwater process which is the coordinate process under3-dimensional polymer measure v（g）constructed by J.Westwater.In this paper,theHausdorff dimension problem for the double point set of X is investigated.As a result,it is proved thatdim D2=1,v（g）-a.e.,where D2={x∈R3:X=X?=x for some st∈[0,1]}is the double point set of X