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We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems where are bi-lipschitzean transformations.
Jozef Myjak, and Tomasz Szarek. "Estimates of capacity of self-similar measures." Annales Polonici Mathematici 78.2 (2002): 141-157. <http://eudml.org/doc/280979>.
@article{JozefMyjak2002, abstract = {We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems $\{(S_i,p_i): i=1,...,N\}$ where $S_i$ are bi-lipschitzean transformations.}, author = {Jozef Myjak, Tomasz Szarek}, journal = {Annales Polonici Mathematici}, keywords = {Markov operator; iterated function system; invariant measure; capacity of measure}, language = {eng}, number = {2}, pages = {141-157}, title = {Estimates of capacity of self-similar measures}, url = {http://eudml.org/doc/280979}, volume = {78}, year = {2002}, }
TY - JOUR AU - Jozef Myjak AU - Tomasz Szarek TI - Estimates of capacity of self-similar measures JO - Annales Polonici Mathematici PY - 2002 VL - 78 IS - 2 SP - 141 EP - 157 AB - We give lower and upper estimates of the capacity of self-similar measures generated by iterated function systems ${(S_i,p_i): i=1,...,N}$ where $S_i$ are bi-lipschitzean transformations. LA - eng KW - Markov operator; iterated function system; invariant measure; capacity of measure UR - http://eudml.org/doc/280979 ER -