Problem 111

Central Limit Theorem for $\beta$-transform $x \mapsto (\beta x)$.

Comments

  • Ledrappier (2016-11-14 17:31:28 -0800 -0800):

    Is there a survey on all that? What happened since [dolgopyat2004limit] ?

  • Vaughn Climenhaga (2017-07-15 11:14:40 -0700 -0700):

    Central limit theorem, almost sure invariance principles, etc., for this and other interval maps, are in [HK82-Z] and [HK82-ETDS] .