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math.DS2026
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 -ch…
math.DS2026
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…