Normal points for generic hyperbolic maps

Mark Pollicott

Displaying similar documents to “Normal points for generic hyperbolic maps”

Rational Misiurewicz maps for which the Julia set is not the whole sphere

Magnus Aspenberg (2009)

Fundamenta Mathematicae

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We show that Misiurewicz maps for which the Julia set is not the whole sphere are Lebesgue density points of hyperbolic maps.

Inhomogeneities in non-hyperbolic one-dimensional invariant sets

Brian E. Raines (2004)

Fundamenta Mathematicae

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The topology of one-dimensional invariant sets (attractors) is of great interest. R. F. Williams [20] demonstrated that hyperbolic one-dimensional non-wandering sets can be represented as inverse limits of graphs with bonding maps that satisfy certain strong dynamical properties. These spaces have "homogeneous neighborhoods" in the sense that small open sets are homeomorphic to the product of a Cantor set and an arc. In this paper we examine inverse limits of graphs with more complicated...

Nonclassical problems for the second order hyperbolic equations.

Avalishvili, G., Gordeziani, D. (1999)

Bulletin of TICMI

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On some applications of Bogoliubov method for hyperbolic equations

Michał Kisielewicz (1975)

Annales Polonici Mathematici

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Intersecting pencil of hyperbolic circles

R. Krasnodębski (1970)

Colloquium Mathematicae

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Generalized n-dimensional Gronwall's inequality and its applications to non-selfadjoint and non-linear hyperbolic equations

Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)

Annales Polonici Mathematici

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On second order hyperbolic equation with two independent variables

J. Kisyński (1970)

Colloquium Mathematicae

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Boundaries of right-angled hyperbolic buildings

Jan Dymara, Damian Osajda (2007)

Fundamenta Mathematicae

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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.

Chaotic hypothesis and universal large deviations properties.

Gallavotti, Giovanni (1998)

Documenta Mathematica

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On the Hausdorff dimension of piecewise hyperbolic attractors

Tomas Persson (2010)

Fundamenta Mathematicae

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We study non-invertible piecewise hyperbolic maps in the plane. The Hausdorff dimension of the attractor is calculated in terms of the Lyapunov exponents, provided that the map satisfies a transversality condition. Explicit examples of maps for which this condition holds are given.

An example of the absence of a global solution to some inverse problem for a hyperbolic equation.

Romanov, V. G. (2003)

Sibirskij Matematicheskij Zhurnal

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Remark on hyperbolic embeddability of relatively compact subspaces of complex spaces

Do Duc Thai (1991)

Annales Polonici Mathematici

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Abstract. The characterization of hyperbolic embeddability of relatively compact subspaces of a complex space in terms of extension of holomorphic maps from the punctured disc and of limit complex lines is given.