On the law of iterated logarithm for Bloch functions
Feliks Przytycki (1989)
Studia Mathematica
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Feliks Przytycki (1989)
Studia Mathematica
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R. Coifman, Guido Weiss (1966)
Studia Mathematica
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Bogusława Karpińska (1999)
Fundamenta Mathematicae
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Francesco Amoroso (1993)
Annales de l'institut Fourier
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Françoise Pène, Benoît Saussol (2009)
Annales de l'I.H.P. Probabilités et statistiques
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Under some mild condition, a random walk in the plane is recurrent. In particular each trajectory is dense, and a natural question is how much time one needs to approach a given small neighbourhood of the origin. We address this question in the case of some extended dynamical systems similar to planar random walks, including ℤ-extension of mixing subshifts of finite type. We define a pointwise recurrence rate and relate it to the dimension of the process, and establish a result of convergence...
Joaquim Bruna, Joaquim Ortega-Cerdà (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Harold Diamond (1967)
Acta Arithmetica
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S. Harbottle (1992)
Studia Mathematica
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Classical theorems about the cluster sets of holomorphic functions on the unit disc are extended to the more general setting of analytic multivalued functions, and examples are given to show that these extensions cannot be improved.