Abstract and Applied Analysis
Volume 2006 (2006), Article ID 81356, 15 pages
doi:10.1155/AAA/2006/81356

Dynamics via measurability

Abstract

Generators f for σ-algebras can be used to view the dynamics of an invertible measurable transformation T in terms of the range values of f∘T. Such generators are the norm rather than the exception. Related measurable and quantitative methods of estimating a function from the behavior of ergodic averages are also discussed.