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

Author

Okoroafor, A. C.

Source

Journal of Applied Mathematics and Stochastic Analysis

Issue

Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2008-09-28

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

Let Xt={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, where φ−p(E) is the φ-packing measure of E, thus solving a problem posed by Rezakhanlou and Taylor in 1988.

American Psychological Association (APA)

Okoroafor, A. C.. 2008. The Packing Measure of the Trajectory of a One-Dimensional Symmetric Cauchy Process. Journal of Applied Mathematics and Stochastic Analysis،Vol. 2008, no. 2008, pp.1-7.
https://search.emarefa.net/detail/BIM-481145

Modern Language Association (MLA)

Okoroafor, A. C.. The Packing Measure of the Trajectory of a One-Dimensional Symmetric Cauchy Process. Journal of Applied Mathematics and Stochastic Analysis No. 2008 (2008), pp.1-7.
https://search.emarefa.net/detail/BIM-481145

American Medical Association (AMA)

Okoroafor, A. C.. The Packing Measure of the Trajectory of a One-Dimensional Symmetric Cauchy Process. Journal of Applied Mathematics and Stochastic Analysis. 2008. Vol. 2008, no. 2008, pp.1-7.
https://search.emarefa.net/detail/BIM-481145

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-481145