Real Analyticity of Hausdorff Dimension for Higher Dimensional Graph Directed Markov Systems

نویسندگان

  • MARIO ROY
  • MARIUSZ URBAŃSKI
چکیده

In this paper we prove that the Hausdorff dimension function of the limit sets of strongly regular, countable, 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.

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تاریخ انتشار 2006