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Weakly Equilibrium Cantor-type Sets

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Abstract

Cantor-type sets are constructed as the intersection of the level domains for simple sequences of polynomials. This allows to obtain Green functions with various moduli of continuity and compact sets with preassigned growth of Markov’s factors.

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Authors and Affiliations

  1. Department of Mathematics, Bilkent University, Ankara, Turkey

    Alexander P. Goncharov

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  1. Alexander P. Goncharov
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Correspondence to Alexander P. Goncharov.

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Goncharov, A.P. Weakly Equilibrium Cantor-type Sets. Potential Anal 40, 143–161 (2014). https://doi.org/10.1007/s11118-013-9344-y

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  • DOI: https://doi.org/10.1007/s11118-013-9344-y

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