TY - JOUR
T1 - Positive-measure self-similar sets without interior
AU - Csörnyei, M.
AU - Jordan, T.
AU - Pollicott, M.
AU - Preiss, D.
AU - Solomyak, B.
PY - 2006/6
Y1 - 2006/6
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33744905218&partnerID=8YFLogxK
U2 - 10.1017/S0143385705000702
DO - 10.1017/S0143385705000702
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AN - SCOPUS:33744905218
SN - 0143-3857
VL - 26
SP - 755
EP - 758
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 3
ER -