Higher-dimensional multifractal value sets for conformal infinite graph directed Markov systems
Dynamical Systems
2010-09-10 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0701541,
title = {Higher-dimensional multifractal value sets for conformal infinite graph directed Markov systems},
author = {Marc Kesseböhmer and Mariusz Urbanski},
journal= {arXiv preprint arXiv:math/0701541},
year = {2010}
}
Comments
20 pages, 1 figure