A Note on Periodic Points for Ergodic Toral Automorphisms.

Brian Marcus

Displaying similar documents to “A Note on Periodic Points for Ergodic Toral Automorphisms.”

Ergodic automorphisms whose weak closure of off-diagonal measures consists of ergodic self-joinings

Y. Derriennic, K. Frączek, M. Lemańczyk, F. Parreau (2008)

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Basic ergodic properties of the ELF class of automorphisms, i.e. of the class of ergodic automorphisms whose weak closure of measures supported on the graphs of iterates of T consists of ergodic self-joinings are investigated. Disjointness of the ELF class with: 2-fold simple automorphisms, interval exchange transformations given by a special type permutations and time-one maps of measurable flows is discussed. All ergodic Poisson suspension automorphisms as well as dynamical systems...

Ergodic Automorphisms of Compact Groups

D. A. Lind (1975)

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Nobuo Aoki (1985)

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Ergodic Automorphisms of Compact Metric Groups are Isomorphic to Bernoulli Shifts

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Jan Kwiatkowski, Mariusz Lemańczyk (1989)

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Some Remarks on Automorphisms of Bounded Displacement and Bounded Cocycles.

Martin Moskowitz (1978)

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Spectral properties of ergodic dynamical systems conjugate to their composition squares

Geoffrey R. Goodson (2007)

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Let S and T be automorphisms of a standard Borel probability space. Some ergodic and spectral consequences of the equation ST = T²S are given for T ergodic and also when Tⁿ = I for some n>2. These ideas are used to construct examples of ergodic automorphisms S with oscillating maximal spectral multiplicity function. Other examples illustrating the theory are given, including Gaussian automorphisms having simple spectra and conjugate to their squares.