An Ergodic Result

Mathematics – General Mathematics

Scientific paper

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Scientific paper

A rather general ergodic type scheme is presented on arbitrary sets X, as
they are generated by arbitrary mappings T : X \longrightarrow X. The
structures considered on X are given by suitable subsets of the set of all of
its finite partitions. Ergodicity is studied not with respect to subsets of X,
but with the {\it inverse limits} of families of finite partitions.

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