4 papers
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…
A no-go theorem for irreversibility along single-branch collapse dynamics
A. Della Corte, L. Guglielmi, M. Farotti
We study finite dimensional quantum systems with arbitrary collapse events, establishing, under no-information-erasure conditions, a structural no-go for operational irreversibilit…
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…
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…