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

A. C.Okoroafor

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

机译：一维对称柯西过程轨迹的堆积度量

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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.

机译：设Xt = {X（t），t≥0}为一维对称柯西过程。我们证明，对于任何度量函数，φ，φ-p（X [0，τ]）为零或无穷大，其中φ-p（E）是E的φ压缩度量，从而解决了Rezakhanlou和Taylor 1988年。

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《International journal of stochastic analysis》 |2008年第1期|共7页
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A. C.Okoroafor;
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中图分类应用数学;
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The Packing Measure of the Trajectory of a One-Dimensional Symmetric Cauchy Process

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