Abstract
Several aspects of the title are explained. In particular an example is constructed in which there is a unique minimal set, all points are generic and there is a continuous arc of ergodic measures.
This research was supported in part by U.S.-ISRAEL BSF Grant No. 1927/79.
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References
Yael Naim Dowker and G. Lederer, On Ergodic Measures, Proc. Amer. Math. Soc. 15 (1964), 65–69.
V. V. Nemitsky, Topological Problems of the Theory of Dynamical Systems, Usp. Math. Nauk (1949), 91-153. English translation in Translations of A.M.S Series One Vol. 5, Stability and Dynamic Systems, pp. 414-497.
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Katznelson, Y., Weiss, B. (1981). When All Points are Recurrent/Generic. In: Katok, A. (eds) Ergodic Theory and Dynamical Systems I. Progress in Mathematics, vol 10. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6696-4_6
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DOI: https://doi.org/10.1007/978-1-4899-6696-4_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4899-6698-8
Online ISBN: 978-1-4899-6696-4
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