Positive-measure self-similar sets without interior

M. Csörnyei; T. Jordan; M. Pollicott; D. Preiss; B. Solomyak

doi:10.1017/s0143385705000702

Positive-measure self-similar sets without interior

M. Csörnyei
, T. Jordan
, M. Pollicott
, D. Preiss
, B. Solomyak

University College London
University of Warwick
University of Washington

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We recall the problem posed by Peres and Solomyak in Problems on self-similar and self-affine sets; an update. Progr. Prob. 46 (2000), 95-106: can one find examples of self-similar sets with positive Lebesgue measure, but with no interior? The method in Properties of measures supported on fat Sierpinski carpets, this issue, leads to families of examples of such sets.

Original language	English
Pages (from-to)	755-758
Number of pages	4
Journal	Ergodic Theory and Dynamical Systems
Volume	26
Issue number	3
DOIs	https://doi.org/10.1017/s0143385705000702
State	Published - Jun 2006
Externally published	Yes

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10.1017/s0143385705000702

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Positive-measure self-similar sets without interior

Abstract

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