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math.DS2019
Nonabelian Rauzy-Veech Renormalization
Dmitri Scheglov
For any Lie group G a renormalization map R on the space of simple G-extensions of Interval Exchange Transformations is constructed. R is applied to prove weak mixing and cohomolog…
math.DS2019
Weak mixing for compact Lie extensions of interval exchange transformations
Dmitri Scheglov
We prove that for any compact connected Lie group G and a typical interval exchange transformation T, not isomorphic to a rotation, the skew product of T with a typical G-valued fu…
math.DS2012
Complexity growth of a typical triangular billiard is weakly exponential
Dmitri Scheglov
We provide a weakly exponential complexity upper bound for typical triangular billiards