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Ergodicity

  • Charalambos D. Aliprantis
  • Kim C. Border

Abstract

Ergodic theory can be described as the discipline that studies the long run average behavior of dynamical systems. There is a set S of possible states of the system, and the evolution of the system is usually modeled as a function T: SS. If the system is in state s at time t,then Ts is the state of the system at time t+1. The sequence {s, Ts,T 2 s,...} is called the orbit of the state s.

Keywords

Banach Space Ergodic Theory Spectral Radius Composition Operator Continuous Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Charalambos D. Aliprantis
    • 1
  • Kim C. Border
    • 2
  1. 1.Department of EconomicsPurdue UniversityWest LafayetteUSA
  2. 2.Division of the Humanities and Social Sciences 228-77California Institute of TechnologyPasadenaUSA

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