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Symbolic dynamics for one dimensional maps with nonuniform expansion

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 نشر من قبل Yuri Lima
 تاريخ النشر 2018
  مجال البحث
والبحث باللغة English
 تأليف Yuri Lima




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Given a piecewise $C^{1+beta}$ map of the interval, possibly with critical points and discontinuities, we construct a symbolic model for invariant probability measures with nonuniform expansion that do not approach the critical points and discontinuities exponentially fast almost surely. More specifically, we code the lift of these measures in the natural extension of the map.



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