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math.DS2013
Commensurable continued fractions
Pierre Arnoux, Thomas A. Schmidt
We compare two families of continued fractions algorithms, the symmetrized Rosen algorithm and the Veech algorithm. Each of these algorithms expands real numbers in terms of certai…
math.DS2013
Random product of substitutions with the same incidence matrix
Pierre Arnoux, Masahiro Mizutani, Tarek Sellami
Any infinite sequence of substitutions with the same matrix of the Pisot type defines a symbolic dynamical system which is minimal. We prove that, to any such sequence, we can asso…