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math.DS2018
Ergodic frequency measures for random substitutions
Philipp Gohlke, Timo Spindeler
We construct a family of ergodic measures on random substitution subshifts (RS-subshifts) associated to a primitive random substitution. In particular, the word frequencies of ever…
math.DS2018★ 12 cited
Scaling properties of the Thue--Morse measure
Michael Baake, Philipp Gohlke, Marc Kesseböhmer +1
The classic Thue--Morse measure is a paradigmatic example of a purely singular continuous probability measure on the unit interval. Since it has a representation as an infinite Rie…