Yiwei Dong, Xueting Tian
Published 2015-10-22Version 1
By an appropriate definition, we divide the irregular set into level sets. Then we characterize the multifractal spectrum of these new pieces by calculating their entropies. We also compute the entropies of various intersections of the level sets of regular and irregular set which is rarely studied in the literature. Moreover, our conclusions also hold for the topological pressure. Finally, we consider the continuous case and use our results to give a description for the suspension flow.
Multifractal analysis of the irregular set for almost-additive sequences via large deviations
On entropy of $Φ$-irregular and $Φ$-level sets in maps with the shadowing property
Distributional chaos in multifractal analysis, recurrence and transitivity
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