39 citations · 123 across the 23 of their papers we have counts for
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Minkowski measurability results for self-similar tilings and fractals with monophase generators
Michel L. Lapidus, Erin P. J. Pearse, Steffen Winter
In a previous paper [arXiv:1006.3807], the authors obtained tube formulas for certain fractals under rather general conditions. Based on these formulas, we give here a characteriza…
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…
Geometry of canonical self-similar tilings
Erin P. J. Pearse, Steffen Winter
We give several different geometric characterizations of the situation in which the parallel set of a self-similar set can be described by the inner -parallel set $T_{…
Canonical self-affine tilings by iterated function systems
Erin P. J. Pearse
An iterated function system consisting of contractive similarity mappings has a unique attractor which is invariant under the action of the system, a…