Affine shadowing of renormalizations for GIETs satisfying a certain Zygmund smoothness condition
Consider generalized interval exchange transformations (GIET) with irrational
rotation number of periodic type. We will show that there exists a vector that shadows (with
respect to accelerated height cocycle) the logarithm of mean non-linearity of renormalizations of
GIET satisfying a certain Zygmund type smoothness conditions.
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