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Higher-dimensional multifractal value sets for conformal infinite graph directed Markov systems

Marc Kesseböhmer·Mariusz Urbanski
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Abstract

We give a description of the level sets in the higher dimensional multifractal formalism for infinite conformal graph directed Markov systems. If these systems possess a certain degree of regularity this description is complete in the sense that we identify all values with non-empty level sets and determine their Hausdorff dimension. This result is also partially new for the finite alphabet case.

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Marc Kesseböhmer, Mariusz Urbanski. 2007-05-31. Higher-dimensional multifractal value sets for conformal infinite graph directed Markov systems. https://doi.org/10.1088/0951-7715%2F20%2F8%2F009

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