Badly approximable vectors on fractals View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2005-12

AUTHORS

Dmitry Kleinbock, Barak Weiss

ABSTRACT

For a large class of closed subsetsC of ℝn, we show that the intersection ofC with the set of badly approximable vectors has the same Hausdorff dimension asC. The sets are described in terms of measures they support. Examples include (but are not limited to) self-similar sets such as Cantor’s ternary sets or attractors for irreducible systems of similarities satisfying Hutchinson’s open set condition. More... »

PAGES

137-170

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02772538

DOI

http://dx.doi.org/10.1007/bf02772538

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1016273881


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