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math.DS2023
Fast dimension spectrum for a potential with a logarithmic singularity
Philipp Gohlke, Georgios Lamprinakis, Jörg Schmeling
We regard the classic Thue--Morse diffraction measure as an equilibrium measure for a potential function with a logarithmic singularity over the doubling map. Our focus is on unusu…
math.DS2014★ 3 cited
On Transfer Operators and Maps with Random Holes
Wael Bahsoun, Joerg Schmeling, Sandro Vaienti
We study Markov interval maps with random holes. The holes are not necessarily elements of the Markov partition. Under a suitable, and physically relevant, assumption on the noise,…