THE PACKING MEASURE OF A CLASS OF GENERALIZED SIERPINSKI CARPET

摘要

For 1/4 ＜ a ＜√2/4, let S1(x) = ax, S2(x) = 1 - a + ax, x ∈ [0,1]. Ca is the attractor of the iterated function system {S1, S2}, then the packing measure of Ca × Ca is Ps(a)(Ca × Ca) = 4.2s(a)(1 - a)s(a),where s(a) = -loga4.