| Abstract: |
| Joint ergodicity is a generalization of the notion of ergodicity to a finite number of measure preserving transformations. Berend and Bergelson provided a characterization of joint ergodicity for commuting invertible measure preserving systems.
In this talk we present a generalization of their characterization and provide some examples of joint ergodicity of piecewise monotone maps. This result demonstrates that the phenomena of joint ergodicity takes place even when the involved measure preserving transformations are neither commuting nor invertible, and have different invariant measures.
This is a joint work of Vitaly Bergelson. |
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