64 citations · 197 across the 18 of their papers we have counts for
6 papers · 1 filter
Measure transfer and -adic developments for subshifts
Nicolas Bédaride, Arnaud Hilion, Martin Lustig
Based on previous work of the authors, to any -adic development of a subshift a "directive sequence" of commutative diagrams is associated, which consists at every level $n…
The measure transfer for subshifts induced by a morphism of free monoids
Nicolas Bédaride, Arnaud Hilion, Martin Lustig
Every non-erasing monoid morphism induces a {\em measure transfer map} between the me…
Invariant measures on finite rank subshifts
Nicolas Bédaride, Arnaud Hilion, Martin Lustig
In this note we show that for any subshift of finite -rank every invariant measure is determined by its values on finitely many cylinders. Under mild conditions these cy…
Tower power for -adics
Nicolas Bédaride, Arnaud Hilion, Martin Lustig
We explain and restate the results from our recent paper arXiv:1503.08000.v3 in standard language for substitutions and -adic systems in symbolic dynamics. We then produce as ra…
Topological substitutions and Rauzy fractals
Nicolas Bédaride, Arnaud Hilion, Timo Jolivet
We consider two families of planar self-similar tilings of different nature: the tilings consisting of translated copies of the fractal sets defined by an iterated function system,…
Graph towers, laminations and their invariant measures
Nicolas Bédaride, Arnaud Hilion, Martin Lustig
In this paper we present a combinatorial machinery, consisting of a graph tower and vector towers on , which allows us to ef…