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.
|Translated title of the contribution||Positive-measure self-similar sets without interior|
|Pages (from-to)||755 - 758|
|Number of pages||4|
|Journal||Ergodic Theory and Dynamical Systems|
|Publication status||Published - Jun 2006|