KnowraErgodic theoryLinked fromLinked fromThe 10 pages that link to Ergodic theory, each with the reason it gives.All 10Related 2Narrower topic 8Poincaré recurrence theoremNarrower topic: The theorem became a basic result for the field's study of long-term dynamics.Ergodic hypothesisNarrower topic: It formalizes when a system’s orbit samples its state space in statistically representative ways.KAM theoryNarrower topic: KAM persistence supplies structured non-ergodic regions within broader dynamical systems.George David BirkhoffNarrower topic: This field contains the theorem most closely associated with Birkhoff.Maryam MirzakhaniNarrower topic: Ergodic ideas underpin her results on flows and trajectories on moduli spaces.Ergodic theoremNarrower topic: Ergodic theorems are foundational results in this mathematical field.Szemerédi's theoremNarrower topic: A parallel proof translates dense integer sets into recurrence in measure-preserving systems.Grigory MargulisNarrower topic: Margulis used dynamical methods to prove rigidity results about lattices.