46 citations · 129 across the 17 of their papers we have counts for
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Curvature Bounds for Neighborhoods of Self-Similar Sets
Steffen Winter
In some recent work, fractal curvatures C^f_k(F) and fractal curvature measures C^f_k(F, .), k = 0, ..., d, have been determined for all self-similar sets F in R^d, for which the p…
Fractal curvature measures of self-similar sets
Steffen Winter, Martina Zähle
Fractal Lipschitz-Killing curvature measures C^f_k(F,.), k = 0, ..., d, are determined for a large class of self-similar sets F in R^d. They arise as weak limits of the appropriate…
Pointwise tube formulas for fractal sprays and self-similar tilings with arbitrary generators
Michel L. Lapidus, Erin P. J. Pearse, Steffen Winter
In a previous paper by the first two authors, a tube formula for fractal sprays was obtained which also applies to a certain class of self-similar fractals. The proof of this formu…
Lower S-Dimension of Fractal Sets
Steffen Winter
The interrelations between (upper and lower) Minkowski contents and (upper and lower) surface area based contents (S-contents) as well as between their associated dimensions have r…