Positive-measure self-similar sets without interior

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

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish
Pages (from-to)755-758
Number of pages4
JournalErgodic Theory and Dynamical Systems
Issue number3
StatePublished - Jun 2006
Externally publishedYes


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