An estimate from below for the Markov constant of a Cantor repeller

• Autorzy: Alexander Volberg
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1995
• Tom: 31
• Numer: 1
• Strony: 383-390

Daty

wydano

1995

Twórcy

autor

Alexander Volberg

• Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, U.S.A.

Bibliografia

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• [4] L. Białas and A. Volberg, Markov's property of the Cantor ternary set, Studia Math. 104 (1993), 259-268.
• [5] P. Jones and Th. Wolff, Hausdorff dimension of harmonic measure in the plane I, Acta Math. 161 (1988), 133-144.
• [6] A. Volberg, On the dimension of harmonic measure of Cantor repellers, Michigan Math. J. 40 (1993), 239-258.
• [7] A. Zdunik, Parabolic orbifolds and the dimension of the maximal measure for rational maps, Invent. Math. 99 (1990), 627-649.
• [8] R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lect. Notes in Math. 470 (1975).
• [9] W. Phillipp and W. Stout, Almost sure invariant principles for partial sums of weakly dependent random variables, Mem. Amer. Math. Soc. 161 (1975).
• [10] I. A. Ibragimov and Yu. V. Linnik, Independent and stationary sequences of random variables, Wolters-Noordhoff, Groningen, 1971.
• [11] A. Volberg, On the harmonic measure of self-similar sets on the plane, in: Harmonic Analysis and Discrete Potential Theory, M. Picardello (ed.), Plenum Press, 1991, 267-281.