### On the dimension of limit sets of geometrically finite Möbius groups.

Tukia, Pekka (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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Tukia, Pekka (1994)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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Lu-ming Shen (2010)

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Annales Academiae Scientiarum Fennicae. Mathematica

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Petersen, Carsten Lunde (1993)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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Veerman, J.J.P., Stošić, B.D. (2000)

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James R. Lee, Manor Mendel, Mohammad Moharrami (2012)

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For every ε > 0, any subset of ℝⁿ with Hausdorff dimension larger than (1-ε)n must have ultrametric distortion larger than 1/(4ε).

Kevin Corlette (1990)

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Balázs Bárány (2009)

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We investigate the properties of the Hausdorff dimension of the attractor of the iterated function system (IFS) {γx,λx,λx+1}. Since two maps have the same fixed point, there are very complicated overlaps, and it is not possible to directly apply known techniques. We give a formula for the Hausdorff dimension of the attractor for Lebesgue almost all parameters (γ,λ), γ < λ. This result only holds for almost all parameters: we find a dense set of parameters (γ,λ) for which the Hausdorff...

Yan-Yan Liu, Jun Wu (2001)

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We prove that the complement of a higher-dimensional Nikodym set must have full Hausdorff dimension.

Plesken, Wilhelm, Schulz, Tilman (2000)

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Yablan, Slavik (1986)

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McShane, Greg, Parker, John R., Redfern, Ian (1994)

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