The Packing Measure of the Trajectory of a One-Dimensional Symmetric Cauchy Process

[摘要] LetXt={X(t), t≥0}be a one-dimensional symmetric Cauchy process. We prove that, for any measure function,φ,φ−p(X[0,τ])is zero or infinite, whereφ−p(E)is theφ-packing measure ofE, thus solving a problem posed by Rezakhanlou and Taylor in 1988.

[学科分类] 应用数学