{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:01Z","timestamp":1740134521191,"version":"3.37.3"},"reference-count":16,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Fujian Province","award":["1240104","2011J01003","11271122"],"award-info":[{"award-number":["1240104","2011J01003","11271122"]}]},{"name":"Fujian Province","award":["1240104","2011J01003","11271122"],"award-info":[{"award-number":["1240104","2011J01003","11271122"]}]},{"DOI":"10.13039\/100006376","name":"Georgia Southern University","doi-asserted-by":"publisher","award":["1240104","2011J01003","11271122"],"award-info":[{"award-number":["1240104","2011J01003","11271122"]}],"id":[{"id":"10.13039\/100006376","id-type":"DOI","asserted-by":"publisher"}]},{"name":"HKRGC Grant","award":["1240104","2011J01003","11271122"],"award-info":[{"award-number":["1240104","2011J01003","11271122"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["1240104","2011J01003","11271122"],"award-info":[{"award-number":["1240104","2011J01003","11271122"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Abstract and Applied Analysis"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>On the class of iterated function systems of bi-Lipschitz mappings that are contractions with respect to some metrics, we introduce a logarithmic distortion property, which is weaker than the well-known bounded distortion property. By assuming this property, we prove the equality of the Hausdorff and box dimensions of the attractor. We also obtain a formula for the dimension of the attractor in terms of certain modified topological pressure functions, without imposing any separation condition. As an application, we prove the equality of Hausdorff and box dimensions for certain iterated function systems consisting of affine maps and nonsmooth maps.<\/jats:p>","DOI":"10.1155\/2014\/549741","type":"journal-article","created":{"date-parts":[[2014,7,13]],"date-time":"2014-07-13T17:05:01Z","timestamp":1405271101000},"page":"1-12","source":"Crossref","is-referenced-by-count":2,"title":["Dimensions of Fractals Generated by Bi-Lipschitz Maps"],"prefix":"10.1155","volume":"2014","author":[{"given":"Qi-Rong","family":"Deng","sequence":"first","affiliation":[{"name":"Department of Mathematics, Fujian Normal University, Fuzhou 350007, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1784-5213","authenticated-orcid":true,"given":"Sze-Man","family":"Ngai","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Hunan Normal University, Changsha, Hunan 410081, China"},{"name":"Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460-8093, USA"}]}],"member":"311","reference":[{"doi-asserted-by":"publisher","key":"6","DOI":"10.2307\/2048840"},{"year":"1997","key":"8"},{"doi-asserted-by":"publisher","key":"12","DOI":"10.1007\/s00605-008-0052-4"},{"doi-asserted-by":"publisher","key":"13","DOI":"10.1112\/plms\/s3-73.1.105"},{"doi-asserted-by":"publisher","key":"4","DOI":"10.1080\/14689367.2010.497478"},{"doi-asserted-by":"publisher","key":"16","DOI":"10.1017\/S0305004100059119"},{"doi-asserted-by":"publisher","key":"14","DOI":"10.2307\/2046143"},{"key":"15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0027763000021085","volume":"96","year":"1984","journal-title":"Nagoya Mathematical Journal"},{"doi-asserted-by":"publisher","key":"5","DOI":"10.1017\/S0305004100064926"},{"doi-asserted-by":"publisher","key":"2","DOI":"10.1016\/j.jmaa.2011.03.043"},{"doi-asserted-by":"publisher","key":"1","DOI":"10.4064\/ba57-3-8"},{"doi-asserted-by":"publisher","key":"11","DOI":"10.1006\/aima.1996.0045"},{"year":"2003","key":"7"},{"doi-asserted-by":"publisher","key":"10","DOI":"10.1512\/iumj.1981.30.30055"},{"doi-asserted-by":"publisher","key":"9","DOI":"10.1007\/BF03167083"},{"doi-asserted-by":"publisher","key":"3","DOI":"10.1007\/s00013-009-2969-9"}],"container-title":["Abstract and Applied Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/aaa\/2014\/549741.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aaa\/2014\/549741.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/aaa\/2014\/549741.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T12:38:46Z","timestamp":1498135126000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/aaa\/2014\/549741\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":16,"alternative-id":["549741","549741"],"URL":"https:\/\/doi.org\/10.1155\/2014\/549741","relation":{},"ISSN":["1085-3375","1687-0409"],"issn-type":[{"type":"print","value":"1085-3375"},{"type":"electronic","value":"1687-0409"}],"subject":[],"published":{"date-parts":[[2014]]}}}