25 citations · 44 across the 12 of their papers we have counts for
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math.DS2008
On the asymptotic measure of periodic subsystems of finite type in symbolic dynamics
J. -R. Chazottes, Z. Coelho, P. Collet
Let $Δ\subsetneq\V$ be a proper subset of the vertices $\V$ of the defining graph of an aperiodic shift of finite type . Let be the union of cylinders in $Σ_…
math.DS2007
Epsilon-Distortion Complexity for Cantor Sets
C. Bonanno, J. -R. Chazottes, P. Collet
We define the epsilon-distortion complexity of a set as the shortest program, running on a universal Turing machine, which produces this set at the precision epsilon in the sense o…
math.DS2006★ 2 cited
Complexity for extended dynamical systems
Claudio Bonanno, Pierre Collet
We consider dynamical systems for which the spatial extension plays an important role. For these systems, the notions of attractor, epsilon-entropy and topological entropy per unit…