Encyclopedia of Complexity and Systems Science

2009 Edition
| Editors: Robert A. Meyers (Editor-in-Chief)

Ergodic Theory: Non-singular Transformations

  • Alexandre I. Danilenko
  • Cesar E. Silva
Reference work entry
DOI: https://doi.org/10.1007/978-0-387-30440-3_183

Definition of the Subject

An abstract measurable dynamical system consists of a set X (phase space) with a transformation\( { T \colon X \to X } \)

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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Alexandre I. Danilenko
    • 1
  • Cesar E. Silva
    • 2
  1. 1.Institute for Low Temperature Physics & EngineeringUkrainian National Academy of SciencesKharkovUkraine
  2. 2.Department of MathematicsWilliams CollegeWilliamstownUSA