An Introduction to Ergodic Theory

Walters, P. (1982). An Introduction to Ergodic Theory. Springer.

Type

Book

Intellectual base

Textbook

Year

1982

DOI

10.1007/978-1-4612-5775-2

ISBN

9780387951522

Link

https://doi.org/10.1007/978-1-4612-5775-2

Cited by

5 citations across 5 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Ergodicity
  • Ergodicity means a measure-preserving system has no nontrivial measurable invariant component of positive measure.
• Expansive Homeomorphism
  • The constant supplies uniform orbit distinguishability.
• Invariant measure
  • For a measurable transformation T, a measure μ is invariant when μ(T^{-1}A)=μ(A) for all measurable A, with equivalent formulations dependent on invertibility and action conventions.
• Invariant Sigma-Algebra
  • On a probability space, ergodic theory commonly works modulo null sets

    This sourceCited as a standard text on measure-preserving dynamics for the convention of working modulo null sets; the text was not reachable to confirm the wording, and the article's own Sheffield and Durrett references state the almost-invariance convention directly.

• Recurrent point
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

Verification

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