Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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On Invariant Measures and Conjugacies of Circle Maps with Singularity Points

Akhtam Dzhalilov

created by daniele on 22 Sep 2014

24 sep 2014 -- 14:00

Sala Riunioni, DMI, Parma

Seminari di Geometria di Parma

Abstract.

We will consider piecewise-smooth circle homeomorphisms f with finite many singularity points of break type, that is, maps that are smooth everywhere except for several points at which the first derivative Df has a jump. It is well known that the invariant measures and conjugacies of sufficiently smooth circle diffeomorphisms are absolutely continuous. But in the case of maps with break type singularity points the results are quite different. We will discuss about invariant measures and conjugacies of such maps.

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