4 papers
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
math.DG2011
Canonical metrics in a conformal class
Dmitri Scheglov
Canonical metrics and conformal invariants are presented for closed oriented even-dimensional manifolds with non-degenerate conformal structures and in particular for compact Riema…