{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:13:52Z","timestamp":1753881232589,"version":"3.41.2"},"reference-count":28,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,7,10]],"date-time":"2012-07-10T00:00:00Z","timestamp":1341878400000},"content-version":"vor","delay-in-days":191,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11071076","KRF-2006-353-C00004"],"award-info":[{"award-number":["11071076","KRF-2006-353-C00004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003725","name":"Korea Research Foundation","doi-asserted-by":"crossref","award":["11071076","KRF-2006-353-C00004"],"award-info":[{"award-number":["11071076","KRF-2006-353-C00004"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>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\u2010type laws of the iterated logarithm for continuous time random walks with jumps and waiting times in the domains of attraction of stable laws.<\/jats:p>","DOI":"10.1155\/2012\/906373","type":"journal-article","created":{"date-parts":[[2012,7,10]],"date-time":"2012-07-10T21:46:11Z","timestamp":1341956771000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Chover\u2010Type Laws of the Iterated Logarithm for Continuous Time Random Walks"],"prefix":"10.1155","volume":"2012","author":[{"given":"Kyo-Shin","family":"Hwang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wensheng","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,7,10]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.50.1657"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.026101"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.75.016708"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.82.3563"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.58.1621"},{"key":"e_1_2_5_6_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.61.132"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1029\/2005RG000178"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/37\/31\/R01"},{"key":"e_1_2_5_9_2","unstructured":"ScalasE. NamatameA. Five years of continuous-time random walks in econophysics Proceedings of Workshop on Economical Heterogeneous Interacting Agents (WEHIA \u203204) 2004 Kyoto Japan."},{"key":"e_1_2_5_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2006.04.034"},{"key":"e_1_2_5_11_2","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1079021462"},{"key":"e_1_2_5_12_2","doi-asserted-by":"publisher","DOI":"10.1239\/jap\/1091543414"},{"key":"e_1_2_5_13_2","series-title":"Wiley Series in Probability and Statistics: Probability and Statistics","volume-title":"Limit Distributions for Sums of Independent Random Vectors","author":"Meerschaert M. M.","year":"2001"},{"key":"e_1_2_5_14_2","doi-asserted-by":"publisher","DOI":"10.1239\/jap\/1082999078"},{"key":"e_1_2_5_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2007.10.005"},{"key":"e_1_2_5_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2009.01.007"},{"key":"e_1_2_5_17_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1966-0189096-2"},{"key":"e_1_2_5_18_2","doi-asserted-by":"crossref","first-page":"1575","DOI":"10.1214\/aoms\/1177698712","article-title":"On large deviation problems for sums of random variables not attracted to the normal law","volume":"38","author":"Hedye C. C.","year":"1967","journal-title":"Annals of Statistics"},{"key":"e_1_2_5_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00535016"},{"key":"e_1_2_5_20_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1969-0251772-3"},{"key":"e_1_2_5_21_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1977-0455093-4"},{"key":"e_1_2_5_22_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01950273"},{"key":"e_1_2_5_23_2","first-page":"195","article-title":"On the law of the iterated logarithm for the partial sum in the domain of attraction of stable distribution","volume":"17","author":"Qi Y.","year":"1996","journal-title":"Chinese Annals of Mathematics A"},{"key":"e_1_2_5_24_2","doi-asserted-by":"publisher","DOI":"10.1007\/PL00008729"},{"key":"e_1_2_5_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-7152(02)00286-9"},{"key":"e_1_2_5_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2003.08.009"},{"key":"e_1_2_5_27_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0079658"},{"key":"e_1_2_5_28_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1952-0048726-0"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/906373.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/906373.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/906373","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:43:50Z","timestamp":1718088230000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/906373"}},"subtitle":[],"editor":[{"given":"P. G. L.","family":"Leach","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/906373"],"URL":"https:\/\/doi.org\/10.1155\/2012\/906373","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-02-25","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-06-19","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-07-10","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"906373"}}