Transformations that do not accept a finite invariant measure
نویسندگان
چکیده
منابع مشابه
NONINVERTIBLE TRANSFORMATIONS ADMITTING NO ABSOLUTELY CONTINUOUS ct-FINITE INVARIANT MEASURE
We study a family of H-to-1 conservative ergodic endomorphisms which we will show to admit no rj-finite absolutely continuous invariant measure. We exhibit recurrent measures for these transformations and study their ratio sets; the examples can be realized as C°° endomorphisms of the 2-torus.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1978
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1978-14482-6