Open AccessThe Packing Measure of the Trajectory of a One-Dimensional Symmetric Cauchy Process
Author(s) -
A.C. Okoroafor
Publication year - 2008
Publication title -
international journal of stochastic analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-3340
pISSN - 2090-3332
DOI - 10.1155/2008/564601
Subject(s) - mathematics , measure (data warehouse) , cauchy distribution , zero (linguistics) , function (biology) , process (computing) , trajectory , mathematical analysis , data mining , linguistics , philosophy , physics , astronomy , evolutionary biology , biology , computer science , operating system
Let Xt={X(t), t≥0} be a one-dimensional symmetric Cauchy process. We prove that, for any measure function, Æ,Æ−p(X[0,Ä]) is zero or infinite, where Æ−p(E) is the Æ-packing measure of E, thus solving a problem posed by Rezakhanlou and Taylor in 1988
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