An Ergodic Result
General Mathematics
2007-08-29 v1 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.0708.3693,
title = {An Ergodic Result},
author = {Elemer E Rosinger},
journal= {arXiv preprint arXiv:0708.3693},
year = {2007}
}