, Volume 31, Issue 3-4, pp 298-314

Bernoulliflows over maps of the interval

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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.