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How to construct totally disconnected Markov sets? - MaRDI portal

How to construct totally disconnected Markov sets? (Q540720)

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scientific article; zbMATH DE number 5903855
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How to construct totally disconnected Markov sets?
scientific article; zbMATH DE number 5903855

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    How to construct totally disconnected Markov sets? (English)
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    3 June 2011
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    The paper deals with the polynomial estimate on a compact planar set from a polynomial estimate on its circular projection. The main results are contained in Theorem 1.1 and Theorem 1.2, where the authors prove Markov and Bernstein-Walsh type inequalities. Interesting constructions of Markov sets are also presented. Finally the authors find a way for obtaining a family of perfect sets.
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    Markov inequality
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    exceptional sets
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    Leja-Siciak extremal function
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    Green function
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    iterated function systems
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    attractors
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