261 citations · 718 across the 34 of their papers we have counts for
37 papers
Besicovitch covering numbers for -free and other shifts
Stanisław Kasjan, Gerhard Keller
For a finite alphabet define by the Besicovitch pseudo-metric on . It is well known tha…
Automorphisms of -free and other Toeplitz shifts
Aurelia Dymek, Stanisław Kasjan, Gerhard Keller
We present sufficient conditions for the triviality of the automorphism group of regular Toeplitz subshifts and give a broad class of examples from the class of -free…
Spectrum of weak model sets with Borel windows
Gerhard Keller, Christoph Richard, Nicolae Strungaru
Consider the extended hull of a weak model set together with its natural shift action. Equip the extended hull with the Mirsky measure, which is a certain natural pattern frequency…
On the Garden of Eden theorem for B-free subshifts
Gerhard Keller, Mariusz Lemanczyk, Christoph Richard +1
We prove that on B-free subshifts, with B satisfying the Erdös condition, all cellular automata are determined by monotone sliding block codes. In particular, this implies the vali…
Irregular -free Toeplitz sequences via Besicovitch's construction of sets of multiples without density
Gerhard Keller
Modifying Besicovitch's construction of a set of positive integers whose set of multiples has no asymptotic density, we provide examples o…
Invariant Graphs for Chaotically Driven Maps
Sara Fadaei, Gerhard Keller, Fatemeh H. Ghane
This paper investigates the geometrical structures of invariant graphs of skew product systems of the form driven by a hype…