Real Analyticity of Hausdorff Dimension for Higher Dimensional Hyperbolic Graph Directed Markov Systems
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چکیده
In this paper we prove that the Hausdorff dimension function of the limit sets of strongly regular, hyperbolic, conformal graph directed Markov systems living in higher dimensional Euclidean spaces R, d ≥ 3, and with an underlying finitely irreducible incidence matrix is real-analytic.
منابع مشابه
Real Analyticity of Hausdorff Dimension for Higher Dimensional Graph Directed Markov Systems
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تاریخ انتشار 2007