Harmonic measure of some Cantor type sets.
Batakis, Athanassios (1996)
Annales Academiae Scientiarum Fennicae. Mathematica
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Batakis, Athanassios (1996)
Annales Academiae Scientiarum Fennicae. Mathematica
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Feliks Przytycki (1985)
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Giuseppe Devillanova, Sergio Solimini (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Kurki, Jukka (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Premalatha, T. Sowmya (2000)
Annales mathématiques Blaise Pascal
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David Jersion (1991)
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J. Bourgain, T. Wolff (1990)
Colloquium Mathematicae
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Michał Rams (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We estimate from above and below the Hausdorff dimension of SRB measure for contracting-on-average baker maps.
Athanasios Batakis (2006)
Annales de l’institut Fourier
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We prove that the dimension of the harmonic measure of the complementary of a translation-invariant type of Cantor sets is a continuous function of the parameters determining these sets. This results extends a previous one of the author and do not use ergotic theoretic tools, not applicables to our case.
Peter W. Jones (1990)
Inventiones mathematicae
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