Steffen Winter

NORMAL AND NON-NORMAL POINTS OF SELF-SIMILAR SETS AND DIVERGENCE POINTS OF SELF-SIMILAR MEASURES

Let

Geometry of canonical self-similar tilings

K

Minkowski Measurability Results for Self-Similar Tilings and Fractals with Monophase Generators

and

Estimation of fractal dimension and fractal curvatures from digital images

\mu

Scaling exponents of curvature measures

be the self-similar set and the self-similar measure associated with an IFS (iterated function system) with probabilities

Geometric Measures for Fractals

(S_i, p_i)_{i=1,\ldots,N}

Lattice self-similar sets on the real line are not Minkowski measurable

satisfying the open set condition. Let

Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators

\Sigma=\{1,\ldots,N\}^{\bb N}

Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages. II: Non-linearity, divergence points and Banach space valued spectra

denote the full shift space and let

Curvature measures and fractals

\pi : \Sigma \longrightarrow K