KnowraPoincaré recurrence theoremLinked fromLinked fromThe 13 pages that link to Poincaré recurrence theorem, each with the reason it gives.All 13Broader topic 1Related 6Compared with 6Ergodic hypothesisRelated: Recurrence constrains trajectories but does not by itself establish ergodicity.Ergodic theoryRelated: It establishes recurrence without requiring detailed knowledge of a system's equations.KAM theoryRelated: It offers a distinct route to recurrent behavior, without requiring persistent quasiperiodic tori.Boltzmann brainRelated: Recurrences provide one route by which extraordinarily rare configurations can eventually appear.Hamiltonian systemRelated: Finite-volume Hamiltonian systems satisfy recurrence under suitable conditions.Ergodic theoremRelated: It is a complementary long-term result derived from measure preservation.