Discrete Lyapunov exponents and Hausdorff dimension (original) (raw)

Hausdorff dimension and conformal dynamics. I. Strong convergence of Kleinian groups

Garry Jolley-Rogers

Journal of Differential Geometry, 1999

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Hausdorff dimension and Kleinian groups

Christopher Bishop

Acta Mathematica, 1997

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Local Lyapunov exponents and a local estimate of Hausdorff dimension

ALP EDEN

ESAIM: Mathematical Modelling and Numerical Analysis, 1989

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Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups

Dennis Sullivan

Acta Mathematica, 1984

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Hausdorff dimension and limit sets of quasiconformal groups

Petra Bonfert-taylor

The Michigan Mathematical Journal, 2001

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Convergence Groups, Hausdorff Dimension, and a Theorem of Sullivan and Tukia

Rita Ibarra

Geometriae Dedicata, 2004

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A Note on the Relation Between the Metric Entropy and the Generalized Fractal Dimensions of Invariant Measures

Alexander Huanca Condori

Bulletin of the Brazilian Mathematical Society, New Series, 2021

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On estimates of the Hausdorff dimension of invariant compact sets

Alexander Pogromsky

Nonlinearity, 2000

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Lyapunov exponents for continuous transformations and dimension theory

César Silva

Discrete and Continuous Dynamical Systems, 2005

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Hausdorfi dimension, strong hyperbolicity and complex dynamics

Shmuel Friedland

1997

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Generalized fractal dimensions of invariant measures of full-shift systems over compact and perfect spaces: generic behavior

Alexander Huanca Condori

Forum Mathematicum, 2021

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Dynamics of metrics in measure spaces and their asymptotic invariants

Anatoly M Vershik

2009

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Computing the Hausdorff dimension of subshifts using matrices

Shmuel Friedland

Linear Algebra and its Applications, 1998

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Discrete conformal groups and measurable dynamics

Dennis Sullivan

Bulletin of the American Mathematical Society, 1982

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Hausdorff dimension distribution of quasiconformal mappings on the Heisenberg group

Zoltán M Balogh

Journal d'Analyse Mathématique, 2001

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A Hurewicz theorem for the Assouad-Nagata dimension

Jerzy Dydak

Journal of the London Mathematical Society, 2008

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Limit sets of discrete groups of isometries of exotic hyperbolic spaces

Alessandra Iozzi

TRANSACTIONS-AMERICAN MATHEMATICAL …, 1999

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Lower bounds for the Hausdorff dimension of attractors

Michael Y Li

Journal of Dynamics and Differential Equations, 1995

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Dimension estimates for the set of points with non-dense orbit in homogeneous spaces

Dmitry Kleinbock

Mathematische Zeitschrift

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Dynamic asymptotic dimension for actions of virtually cyclic groups

A Shakibazadeh

Proceedings of the Edinburgh Mathematical Society, 2021

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Pointwise dimensions for Poincaré recurrences associated with maps and special flows

Jean-Rene Chazottes

Discrete and Continuous Dynamical Systems, 2002

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Dimension and entropy in compact topological groups

Dikran Dikranjan

Journal of Mathematical Analysis and Applications, 2019

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Hausdorff dimension and Perron-Frobenius theory

John Turner

Illinois Journal of Mathematics, 1989

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A note on the fractal dimensions of invariant measures associated with $C^{1+{\alpha}}-diffeomorphisms, expanding and expansive homeomorphisms

Alexander Huanca Condori

arXiv (Cornell University), 2019

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Bi-invariant sets and measures have integer Hausdorff dimension

Yuval Peres

1999

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Hausdorff dimensions of self-similar and self-affine fractals in the Heisenberg group

Zoltán M Balogh

Proceedings of the London Mathematical Society, 2005

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The local Hölder exponent for the dimension of invariant subsets of the circle

Carlo Carminati

Ergodic Theory and Dynamical Systems, 2016

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Novikov-Shubin invariants and asymptotic dimensions for open manifolds

Daniele Guido

arXiv: Differential Geometry, 1998

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Hausdorff Dimension, Lagrange and Markov Dynamical Spectra for Geometric Lorenz Attractors

Maria Jose Pacifico

Bulletin of the American Mathematical Society, 2018

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New bounds for the Hausdorff dimension of a dynamically defined Cantor set

Fernando José Sánchez-Salas

2021

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