40 citations · 300 across the 38 of their papers we have counts for
Showing math.MGShow all
2 papers · 1 filter
math.MG2013★ 14 cited
On the quantization for self-affine measures on Bedford-McMullen carpets
Marc Kesseböhmer, Sanguo Zhu
For a self-affine measure on a Bedford-McMullen carpet we prove that its quantization dimension exists and determine its exact value. Further, we give various sufficient conditions…
math.MG2010★ 26 cited
Fractal curvature measures and Minkowski content for one-dimensional self-conformal sets
Marc Kesseböhmer, Sabrina Kombrink
We show that the fractal curvature measures of invariant sets of one-dimensional conformal iterated function systems satisfying the open set condition exist, if and only if the ass…