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Regular and stochastic dynamics in the real quadratic family

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PubMed Central1998-11-24 更新2026-05-02 收录
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We prove the Regulat or Stochastic Conjecture for the real quadratic family which asserts that almost every real quadratic map P(c), c ∈ [−2, 1/4], has either an attracting cycle or an absolutely continuous invariant measure.

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1998-11-24
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