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Manfred Denker, R. Mauldin, Z. Nitecki, Mariusz Urbański (1998)
Fundamenta Mathematicae
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We show that the set of conical points of a rational function of the Riemann sphere supports at most one conformal measure. We then study the problem of existence of such measures and their ergodic properties by constructing Markov partitions on increasing subsets of sets of conical points and by applying ideas of the thermodynamic formalism.
Feliks Przytycki, Juan Rivera-Letelier (2007)
Annales scientifiques de l'École Normale Supérieure
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Feliks Przytycki, Mariusz Urbański, Anna Zdunik (1990)
Studia Mathematica
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Henk Bruin, Weixiao Shen, Sebastian Van Strien (2006)
Annales scientifiques de l'École Normale Supérieure
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Cullen, Michael R. (1973)
Portugaliae mathematica
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H. Alexander (1992)
Bulletin de la Société Mathématique de France
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Zoltán M. Balogh, Matthieu Rickly, Francesco Serra Cassano (2003)
Publicacions Matemàtiques
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We compare the Hausdorff measures and dimensions with respect to the Euclidean and Heisenberg metrics on the first Heisenberg group. The result is a dimension jump described by two inequalities. The sharpness of our estimates is shown by examples. Moreover a comparison between Euclidean and H-rectifiability is given.
John Erik Fornaess, Nessim Sibony (2001)
Publicacions Matemàtiques
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We present a collection of problems in complex analysis and complex dynamics in several variables.
Guoen Hu (2003)
Publicacions Matemàtiques
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Some boundedness results are established for sublinear operators on the homogeneous Herz spaces. As applications, some new theorems about the boundedness on homogeneous Herz spaces for commutators of singular integral operators are obtained.