Adv Math (N Y) 2011 Jan;226(1):139-175
LIRMM, CNRS UMR 5506, Université Montpellier II, 161 rue Ada, 34392 Montpellier Cedex 5, France ; LIAFA, CNRS UMR 7089, Université Paris Diderot - Paris 7, Case 7014, 75205 Paris Cedex 13, France.
Shift radix systems form a collection of dynamical systems depending on a parameter which varies in the -dimensional real vector space. They generalize well-known numeration systems such as beta-expansions, expansions with respect to rational bases, and canonical number systems. Beta-numeration and canonical number systems are known to be intimately related to fractal shapes, such as the classical Rauzy fractal and the twin dragon. Read More