Packing spectra for Bernoulli measures supported on Bedford-McMullen carpets
Packing spectra for Bernoulli measures supported on Bedford-McMullen carpets
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DOI：
10.4064/fm229-2-5
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发表时间：
2014-07
影响因子：
0.6
通讯作者：
T. Jordan;M. Rams
中科院分区：
文献类型：
--
作者：
T. Jordan;M. Rams
本文考虑Bedford-McMullen地毯上Bernoulli测度的局部维数的Packing谱。我们表明，通常的包装尺寸的正规集小于包装尺寸的吸引子。我们还考虑了一类特殊的措施，我们能够准确地计算包装谱，我们表明，包装谱是不连续的函数的空间上的伯努利措施。
In this paper we consider the packing spectra for local dimension of Bernoulli measures supported on Bedford-McMullen carpets. We show that typically the packing dimension of the regular set is smaller than the packing dimension of the attractor. We also consider a specic class of measures for which we are able to calculate the packing spectrum exactly and we show that the packing spectrum is discontinuous as a function on the space of Bernoulli measures.