Linked from

The 10 pages that link to Ergodic theory, each with the reason it gives.

• Poincaré 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.

• Dynamical systems theoryRelated: It asks how long-term time averages relate to averages across state space.

• 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.

• Equidistribution theoremRelated: Irrational rotations provide a basic example of an ergodic system with uniform orbit statistics.

• 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.