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Local Lyapunov exponents and a local estimate of Hausdorff dimension

Alp Eden (1989)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Local monotonicity of Hausdorff measures restricted to curves in $ℝ^{n}$

Robert Černý (2009)

Commentationes Mathematicae Universitatis Carolinae

We give a sufficient condition for a curve $γ : ℝ \to ℝ^{n}$ to ensure that the $1$ -dimensional Hausdorff measure restricted to $γ$ is locally monotone.

Local monotonicity of Hausdorff measures restricted to real analytic curves

Robert Černý (2010)

Commentationes Mathematicae Universitatis Carolinae

We prove that the 1-dimensional Hausdorff measure restricted to a simple real analytic curve $γ : ℝ \to ℝ^{N}$ , $N \geq 2$ , is locally 1-monotone.

Local monotonicity of measures supported by graphs of convex functions.

Robert Cerný (2004)

Publicacions Matemàtiques

Locally minimal sets for conformal dimension.

Bishop, Christopher J., Tyson, Jeremy T. (2001)

Annales Academiae Scientiarum Fennicae. Mathematica