Characterization of joint ergodicity for non-commuting transformations Academic Article uri icon

abstract

  • The study of jointly ergodic transformations, begun in [2] and [1], is continued. The main result is that, ifT 1,T 2, …,T s are arbitrary measure preserving transformations of a probability space (X, ℬ,μ), then Open image in new window , if and only if the following conditions are satisfied: (1) T 1×T 2×…×T s is ergodic. (2) Open image in new window .

publication date

  • January 1, 1986