3 papers
math.MG2021
Tiling of polyhedral sets
Vladimir Yu. Protasov, Tatyana Zaitseva
A self-affine tiling of a compact set G of positive Lebesgue measure is its partition to parallel shifts of a compact set which is affinely similar to G. We find all polyhedral set…
math.MG2020
Simple tiles and attractors
Tatyana Zaitseva
We study self-similar attractors in the space , i.e., self-similar compact sets defined by several affine operators with the same linear part. The special case of att…
math.FA2020
Self-affine 2-attractors and tiles
Vladimir Yu. Protasov, Tatyana Zaitseva
We study two-digit attractors (2-attractors) in which are self-affine compact sets defined by two contraction affine mappings with the same linear part. They are wid…