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math.DS2014★ 1 cited
Conjugacies provided by fractal transformations I : Conjugate measures, Hilbert spaces, orthogonal expansions, and flows, on self-referential spaces
Christoph Bandt, Michael Barnsley, Markus Hegland +1
Theorems and explicit examples are used to show how transformations between self-similar sets (general sense) may be continuous almost everywhere with respect to stationary measure…
math.DS2010★ 9 cited
Combinatorial topology of three-dimensional self-affine tiles
Christoph Bandt
We develop tools to study the topology and geometry of self-affine fractals in dimension three and higher. We use the self-affine structure and obtain rather detailed information a…