Article
Little Topological Counterpart of Birkhoff’s Ergodic Theorem
Authors
Abstract
For a compact metric space X and a continuous transformation T : X → X with at least one transitive and recurrent orbit, there is a set M 0(T ) of T -invariant probability measures on X such that for a comeager set of starting points the set of limit measures is exactly M 0(T ).
Keywords
Birkhoff’s ergodic theorem, Baire category, topological dynamics, distribution of.
Citation
Winkler, R. (2010). Little topological counterpart of birkhoff’s ergodic theorem. Uniform Distribution Theory, 5(1), 157–162.
R. Winkler, “Little topological counterpart of birkhoff’s ergodic theorem,” Uniform Distribution Theory, vol. 5, no. 1, pp. 157–162, 2010.
Winkler R. Little topological counterpart of birkhoff’s ergodic theorem. Uniform Distribution Theory. 2010;5(1):157–162.
Winkler, R. (2010), ‘Little topological counterpart of birkhoff’s ergodic theorem’, Uniform Distribution Theory, 5(1), pp. 157–162.
Winkler, Reinhard. “Little Topological Counterpart of Birkhoff’s Ergodic Theorem.” Uniform Distribution Theory, vol. 5, no. 1, 2010, pp. 157–162.
Winkler, Reinhard. “Little Topological Counterpart of Birkhoff’s Ergodic Theorem.” Uniform Distribution Theory 5, no. 1 (2010): 157–162.
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Published by: Engineering Journals
