Multifractal analysis on the historic set in non- uniformly expanding systems
semanticscholar(2019)
Abstract
Authors conduct the multifractal analysis in a class of non-uniformly expanding systems. Combining methods of constructing Moran sets and assembling n-level bernoulli measures, they prove that the historic set of asymptotically additive potential carries full Hausdorff dimension unless it is empty set.
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