Alpan, G.Goncharov, A.2018-04-122018-04-122017http://hdl.handle.net/11693/36436We discuss several open problems related to analysis on fractals: Estimates of the Green functions, the growth rates of the Markov factors with respect to the extension property of compact sets, asymptotics of orthogonal polynomials and the Parreau-Widom condition, Hausdorff measures and the Hausdorff dimension of the equilibrium measure on generalized Julia sets. © 2017, Padova University Press. All rights reserved.EnglishArticle2035-6803