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Session 16. Ergodic Theory and Dynamical Systems
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Slow entropy for smooth flows on surfaces |
Adam Kanigowski, IMPAN, Poland
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We consider a class of mixing special flows over rotations with
power-type singularities (\(x^{\gamma}\) for some
\(-1<\gamma<0\)). Under some assumption on the rotation angle, we
show that the slow entropy of the corresponding special flow is
equal to \(\gamma\). As a consequence, we get that the type of the
singularity is an invariant of measure-theoretic isomorphism.
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