{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,12]],"date-time":"2025-09-12T18:06:53Z","timestamp":1757700413189},"reference-count":25,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Found. Comput. Sci."],"published-print":{"date-parts":[[2005,8]]},"abstract":"<jats:p>We use means of formal language theory to estimate the Hausdorff measure of sets of a certain shape in Cantor space. These sets are closely related to infinite iterated function systems in fractal geometry.<\/jats:p><jats:p>Our results are used to provide a series of simple examples for the non-coincidence of limit sets and attractors for infinite iterated function systems.<\/jats:p>","DOI":"10.1142\/s0129054105003297","type":"journal-article","created":{"date-parts":[[2005,7,5]],"date-time":"2005-07-05T14:52:13Z","timestamp":1120575133000},"page":"787-802","source":"Crossref","is-referenced-by-count":3,"title":["INFINITE ITERATED FUNCTION SYSTEMS IN CANTOR SPACE AND THE HAUSDORFF MEASURE OF \u03c9-POWER LANGUAGES"],"prefix":"10.1142","volume":"16","author":[{"given":"LUDWIG","family":"STAIGER","sequence":"first","affiliation":[{"name":"Institut f\u00fcr Informatik, Martin-Luther-Universit\u00e4t Halle- Wittenberg, D - 06099 Halle, Germany"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01308664"},{"key":"rf3","volume-title":"Theory of Codes","author":"Berstel J.","year":"1985"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(93)90329-R"},{"key":"rf6","first-page":"241","volume":"11","author":"Devolder J.","journal-title":"Acta Cybernetica"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4134-6"},{"key":"rf8","volume-title":"Fractal Geometry","author":"Falconer K. J.","year":"1990"},{"key":"rf9","volume-title":"Techniques in Fractal Geometry","author":"Falconer K. J.","year":"1997"},{"key":"rf10","volume-title":"Iterierte Funktionen, Sprachen und Fraktale","author":"Fernau H.","year":"1994"},{"key":"rf11","first-page":"79","volume":"169","author":"Fernau H.","journal-title":"Mathem. Nachr."},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1006\/inco.2000.2912"},{"key":"rf13","volume-title":"Introduction to Automata and Language Theory","author":"Hopcroft J. E.","year":"1979"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(70)90105-1"},{"key":"rf15","doi-asserted-by":"crossref","DOI":"10.1515\/9783112546369","volume-title":"Algebraische Codierungstheorie; Theorie der sequentiellen Codierungen","author":"Lindner R.","year":"1977"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/S0890-5401(03)00187-1"},{"key":"rf17","series-title":"Progress in Probability","volume-title":"Fractal Geometry and Stochastics","volume":"37","author":"Mauldin R. D.","year":"1995"},{"key":"rf18","first-page":"105","author":"Mauldin R. D.","journal-title":"Proc. Lond. Math. Soc. III"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1988-0961615-4"},{"key":"rf20","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1051\/ita\/1994283-403611","volume":"28","author":"Merzenich W.","journal-title":"RAIRO Inf. th\u00e9or. Appl."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-59126-6"},{"key":"rf22","first-page":"16","volume":"22","author":"Ryabko B. Ya.","journal-title":"Problemy Peredachi Informatsii"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1016\/0378-3758(89)90042-6"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1006\/inco.1993.1017"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0190(96)00074-9"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-62844-4_27"},{"key":"rf28","first-page":"178","volume":"66","author":"Staiger L.","journal-title":"Bull. EATCS"}],"container-title":["International Journal of Foundations of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129054105003297","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,27]],"date-time":"2024-01-27T18:28:39Z","timestamp":1706380119000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129054105003297"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,8]]},"references-count":25,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,8]]}},"alternative-id":["10.1142\/S0129054105003297"],"URL":"https:\/\/doi.org\/10.1142\/s0129054105003297","relation":{},"ISSN":["0129-0541","1793-6373"],"issn-type":[{"value":"0129-0541","type":"print"},{"value":"1793-6373","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,8]]}}}