40 citations · 300 across the 38 of their papers we have counts for
38 papers
Geometric mean quantization via adaptive approximation
Marc Kesseböhmer, Aljoscha Niemann
Let be a compactly supported Borel probability measure on with for some . Refine a dyadic cube exactly when its mass is at least …
Dimension gap and phase transition for one-dimensional random walks with reflective boundary
Maik Gröger, Johannes Jaerisch, Marc Kesseböhmer
We study - and -extensions of interval maps with at most countably many full branches modelling one-dimensional random walks without and with a reflective bou…
Generalized Thue-Morse measures: spectral and fractal analysis
Philipp Gohlke, Marc Kesseböhmer, Tanja I. Schindler
We investigate a family of Riesz products and show that they can be regarded as diffraction measures of generalized Thue-Morse sequences, possibly over an infinite alphabet. These…
Parametrized Families of Gibbs Measures and their Statistical Inference
Manfred Denker, Marc Keßeböhmer, Artur O. Lopes +1
For Hölder continuous functions , , on a subshift of finite type and we consider a parametrized family of potentials $\{F_θ= f_0+\sum_{i…
Approximation order of Kolmogorov, Gel'fand, and linear widths for Sobolev embeddings in euclidian measure spaces
Marc Kesseböhmer, Linus Wiegmann
In this paper we completely solve the problem of finding the (upper) approximation order with respect to the Kolmogorov, Gel'fand, and linear widths for the embedding of the Sobole…
Quantization dimensions of compactly supported probability measures via Rényi dimensions
Marc Kesseböhmer, Aljoscha Niemann, Sanguo Zhu
We provide a complete picture of the upper quantization dimension in terms of the Rényi dimension by proving that the upper quantization dimension of order f…