Hausdorff dimension of random fractals with overlaps

Publication in refereed journal

CUHK Authors

Professor LAU Ka Sing (Department of Mathematics)

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Digital Object Identifier (DOI)

http://dx.doi.org/10.1017/S0004972700020359

DOI for CUHK Users

http://easyaccess.lib.cuhk.edu.hk/login?url=http://dx.doi.org/10.1017/S0004972700020359

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AbstractThis paper considers random fractals generated by contractive transformations which satisfy a separation condition weaker than the open set condition. This condition allows overlaps in the iterations. Estimates of the Hausdorff dimension of this kind of random fractals are obtained.

All Author(s) ListYu ZG, Anh VV, Lau KS

Journal nameBulletin of the Australian Mathematical Society

Year2002

Month4

Day1

Volume Number65

Issue Number2

PublisherAUSTRALIAN MATHEMATICS PUBL ASSOC INC

Pages315 - 328

ISSN0004-9727

eISSN1755-1633

LanguagesEnglish-United Kingdom

Web of Science Subject CategoriesMathematics; MATHEMATICS

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