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Symbolic dynamics for one dimensional maps with nonuniform expansion

94   0   0.0 ( 0 )
 Added by Yuri Lima
 Publication date 2018
  fields
and research's language is English
 Authors 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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