5 citations · 13 across the 7 of their papers we have counts for
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Order spectra in topological dynamical systems
F. Ciavattini, A. Della Corte, C. Lucamarini
In a compact topological dynamical system , we associate to every pair a canonical order-theoretic invariant, its emergent order spectrum . We first prove th…
Transfinite Topological Dynamics
Alessandro Della Corte, Marco Farotti
We present a canonical extension of topological dynamics to transfinite iterations, which makes precise the idea of dynamical phenomena stabilizing at different time-scales. Specif…
Dynamical properties of critical exponent functions
Dario Corona, Alessandro Della Corte, Marco Farotti
In the last years the attention towards topological dynamical properties of highly discontinuous maps has increased significantly. In [D.Corona, A. Della Corte. The critical expone…
Dynamics of interval maps generated by erasing substitutions
Alessandro Della Corte, Marco Farotti
We study discontinuous interval maps generated by the action of erasing block substitutions on the binary expansion. After establishing some general properties of these maps, we ca…
The simplest erasing substitution
Alessandro Della Corte, Stefano Isola, Riccardo Piergallini
In this work, we begin the study of a new class of dynamical systems determined by interval maps generated by the symbolic action of erasing substitution rules. We do this by discu…