1 citations · 1 across the 7 of their papers we have counts for
7 papers
Emergent order spectrum for transitive homeomorphisms
Filippo Ciavattini, Marco Farotti, Camilla Lucamarini
The Emergent Order Spectrum is a topological invariant of dynamical systems providing order-types induced by the limit order of order-compatible nested -cha…
A no-go theorem for irreversibility in arbitrary realizations of the collapse dynamics
A. Della Corte, L. Guglielmi, M. Farotti
We study finite dimensional quantum systems with arbitrary collapse events, establishing a structural no-go for operational irreversibility along arbitrary realizations of the coll…
On linearly ordered sets of chain components
P. Cintioli, A. Della Corte, M. Farotti
In a dynamical system , with a compact metric space, the chain components, the fundamental building blocks in the Conley decomposition of dynamics, have a natural partia…
Chains without regularity
Alessandro Della Corte, Marco Farotti
We study chain-recurrence and chain-transitivity in compact dynamical systems without any regularity assumptions on the map. We prove that every compact system has a chain-recurren…
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…