Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks
A continuous time random walk is a random walk subordinated to a renewal process used in physics to model anomalous diffusion. In this paper, we establish Chover-type laws of the iterated logarithm for continuous time random walks with jumps and waiting times in the domains of attraction of stable l...
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/906373 |
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author | Kyo-Shin Hwang Wensheng Wang |
author_facet | Kyo-Shin Hwang Wensheng Wang |
author_sort | Kyo-Shin Hwang |
collection | DOAJ |
description | A continuous time random walk is a random walk subordinated to a renewal process used in physics to model anomalous diffusion. In this paper, we establish Chover-type laws of the iterated logarithm for continuous time random walks with jumps and waiting times in the domains of attraction of stable laws. |
format | Article |
id | doaj-art-31ea0b63826349f7844909733be3596b |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-31ea0b63826349f7844909733be3596b2025-02-03T01:30:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/906373906373Chover-Type Laws of the Iterated Logarithm for Continuous Time Random WalksKyo-Shin Hwang0Wensheng Wang1Research Institute of Natural Science, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics, Hangzhou Normal University, Hangzhou 310036, ChinaA continuous time random walk is a random walk subordinated to a renewal process used in physics to model anomalous diffusion. In this paper, we establish Chover-type laws of the iterated logarithm for continuous time random walks with jumps and waiting times in the domains of attraction of stable laws.http://dx.doi.org/10.1155/2012/906373 |
spellingShingle | Kyo-Shin Hwang Wensheng Wang Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks Journal of Applied Mathematics |
title | Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks |
title_full | Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks |
title_fullStr | Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks |
title_full_unstemmed | Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks |
title_short | Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks |
title_sort | chover type laws of the iterated logarithm for continuous time random walks |
url | http://dx.doi.org/10.1155/2012/906373 |
work_keys_str_mv | AT kyoshinhwang chovertypelawsoftheiteratedlogarithmforcontinuoustimerandomwalks AT wenshengwang chovertypelawsoftheiteratedlogarithmforcontinuoustimerandomwalks |