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Abstract: . We define the notion of a snap-back repeller for a continuous transformation from a Hausdor# topological space to itself. We prove three consequent implications: a snap-back repeller implies that an iterate of the transformation is 2-adic; 2-adicity implies the existence of two scrambled-like sets which exhibit very complex behavior of the transformation; and one of these sets in turn implies the existence of an uncountable number of ergodic continuous invariant measures with pairwise... (Update)
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BibTeX entry: (Update)
@misc{ boyarsky-snapback,
author = "Abraham Boyarsky and Pawel Gora and Vadim Lioubimov",
title = "Snap-Back Repellers And Scrambled Sets In General Topological Spaces",
url = "citeseer.ist.psu.edu/402601.html" }
Citations (may not include all citations):23 Period Three Implies Chaos (context) - Li, Yorke - 1975
13 Uber Die Gleichverteilung Von Zahlen Mod (context) - Weyl - 1916
3 Snap-Back Repellers Imply Chaos in R n (context) - Marotto - 1978
2 the Existence of Invariant Measures for Transformations with.. (context) - Lasota, Yorke - 1977
1 Ergodic Measures on Topological Spaces (context) - Rudnicki - 1987
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