105 citations
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Showing 2003 · math.DSShow all
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math.DS2003★ 1 cited
Distortion growth for iterations of diffeomorphisms of the interval
Alexander Borichev
We obtain several results on the distortion asymptotics for the iterations of diffeomorphisms of the interval extending the recent work of Polterovich and Sodin.
math.DS2003
Slow area-preserving diffeomorphisms of the torus
Alexander Borichev
We construct area-preserving real analytic diffeomorphisms of the torus with unbounded growth sequences of arbitrarily slow growth.