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- W4300559946 abstract "We consider the multifractal analysis for Birkhoff averages of continuous potentials on a self-affine Sierpi'{n}ski sponge. In particular, we give a variational principal for the packing dimension of the level sets. Furthermore, we prove that the packing spectrum is concave and continuous. We give a sufficient condition for the packing spectrum to be real analytic, but show that for general H{o}lder continuous potentials, this need not be the case. We also give a precise criterion for when the packing spectrum attains the full packing dimension of the repeller. Again, we present an example showing that this is not always the case." @default.
- W4300559946 created "2022-10-03" @default.
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- W4300559946 date "2010-06-21" @default.
- W4300559946 modified "2023-10-16" @default.
- W4300559946 title "The packing spectrum for Birkhoff averages on a self-affine repeller" @default.
- W4300559946 doi "https://doi.org/10.48550/arxiv.1006.4086" @default.
- W4300559946 hasPublicationYear "2010" @default.
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