Bernoulliflows over maps of the interval |
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| Authors: | M. Ratner |
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| Affiliation: | (1) Department of Mathematics, University of California, 94720 Berkeley, Calif., USA |
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| Abstract: | We consider special flowsT′ built over shift automorphismϕ with a Holder function. We introduce two properties forϕ (R and WM) s.t. weak-mixing forT′ impliesK ifϕ is R and it implies Bernoulliness ifϕ is WM. We apply this to maps of the interval to show that for the Lorentz Attractor Flow with a natural measure weak-mixing implies Bernoulliness. Research partially supported by NSF Grant MCS74-19388.A01 and the Sloan Foundation. |
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