3 papers
math.MG2010
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…
math.MG2010
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…
math.CA2006
Universal singular sets in the calculus of variations
Marianna Csornyei, Bernd Kirchheim, Toby C. O'Neil +2
For regular one-dimensional variational problems, Ball and Nadirashvilli introduced the notion of the universal singular set of a Lagrangian L and established its topological negli…