DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choe, Geon Ho | ko |
dc.date.accessioned | 2013-02-27T19:52:10Z | - |
dc.date.available | 2013-02-27T19:52:10Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2000-03 | - |
dc.identifier.citation | APPLIED MATHEMATICS AND COMPUTATION, v.109, no.2-3, pp.287 - 299 | - |
dc.identifier.issn | 0096-3003 | - |
dc.identifier.uri | http://hdl.handle.net/10203/70493 | - |
dc.description.abstract | The invariant measures for the transformations x bar right arrow {phi(x)} on the unit interval are studied where (i) phi is an element of C-2, (ii) phi' < 0, (iii) phi(0+) = +infinity, phi(1)= 1, (iv) the map x bar right arrow {phi(x)} is eventually expansive, and (v) phi' and phi " satisfy some growth conditions. It is shown that the invariant ergodic measure rho(x) dx satisfies rho(0) = (1 - 1/phi'(1)) . rho(1). For phi(x) = 1/x(p), the limiting behavior of rho is investigated as p --> +infinity or p --> p(0) = 0.241485... (C) 2000 Elsevier Science Inc. All rights reserved. AMS classification. Primary 28C10; 58F11. | - |
dc.language | English | - |
dc.publisher | ELSEVIER SCIENCE INC | - |
dc.subject | INVARIANT MEASURES | - |
dc.subject | INTERVAL | - |
dc.subject | MAPS | - |
dc.title | Generalized continued fractions | - |
dc.type | Article | - |
dc.identifier.wosid | 000085105100014 | - |
dc.identifier.scopusid | 2-s2.0-0006037413 | - |
dc.type.rims | ART | - |
dc.citation.volume | 109 | - |
dc.citation.issue | 2-3 | - |
dc.citation.beginningpage | 287 | - |
dc.citation.endingpage | 299 | - |
dc.citation.publicationname | APPLIED MATHEMATICS AND COMPUTATION | - |
dc.contributor.localauthor | Choe, Geon Ho | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | invariant measure | - |
dc.subject.keywordAuthor | entropy | - |
dc.subject.keywordAuthor | Birkhoff ergodic theorem | - |
dc.subject.keywordAuthor | Lyapunov exponent | - |
dc.subject.keywordAuthor | continued fractions | - |
dc.subject.keywordPlus | INVARIANT MEASURES | - |
dc.subject.keywordPlus | INTERVAL | - |
dc.subject.keywordPlus | MAPS | - |
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