Automorphisms that admit an approximation by periodic transformations.

Autor: Schwartzbauer, T.
Zdroj: Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete; 1970, Vol. 15 Issue 3, p239-248, 10p
Abstrakt: We are concerned with a class of automorphisms which can be approximated by periodic transformations. We show that such an automorphism T is ergodic and that a relationship exists between the spectrum of T, the measure of the sets which are invariant under T, and the ergodicity of the powers of T. Finally, we exhibit conditions under which T is weakly mixing and not strongly mixing. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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