Computability of the packing measure of totally disconnected self-similar sets
2015 ◽
Vol 36
(5)
◽
pp. 1534-1556
◽
Keyword(s):
We present an algorithm to compute the exact value of the packing measure of self-similar sets satisfying the so called Strong Separation Condition (SSC) and prove its convergence to the value of the packing measure. We also test the algorithm with examples that show both the accuracy of the algorithm for the most regular cases and the possibility of using the additional information provided by it to obtain formulas for the packing measure of certain self-similar sets. For example, we are able to obtain a formula for the packing measure of any Sierpinski gasket with contraction factor in the interval $(0,\frac{1}{3}]$.
2018 ◽
Vol 167
(01)
◽
pp. 193-207
◽
2014 ◽
Vol 511-512
◽
pp. 1185-1188
2007 ◽
Vol 07
(01)
◽
pp. 37-51
◽
2011 ◽
Vol 32
(3)
◽
pp. 1101-1115
◽
2008 ◽
Vol 28
(5)
◽
pp. 1635-1655
◽
Keyword(s):
2016 ◽
Vol 160
(3)
◽
pp. 537-563
◽