TY - JOUR
T1 - Existence of Lq dimensions and entropy dimension for self-conformal measures
AU - Peres, Yuval
AU - Solomyak, Boris
PY - 2000
Y1 - 2000
N2 - We prove the existence of limits in the definitions of Lq dimensions, q > 0, q ≠ 1, and the entropy dimension for any self-conformal measure, without any separation assumptions. We also show the existence of order-two densities for a class of self-similar measures with overlap.
AB - We prove the existence of limits in the definitions of Lq dimensions, q > 0, q ≠ 1, and the entropy dimension for any self-conformal measure, without any separation assumptions. We also show the existence of order-two densities for a class of self-similar measures with overlap.
KW - Entropy dimension
KW - Order-two density
KW - Self-conformal measure
KW - Self-similar measure
UR - http://www.scopus.com/inward/record.url?scp=0010137340&partnerID=8YFLogxK
U2 - 10.1512/iumj.2000.49.1851
DO - 10.1512/iumj.2000.49.1851
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AN - SCOPUS:0010137340
SN - 0022-2518
VL - 49
SP - 1603
EP - 1621
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 4
ER -