On the invariant distributions of C^2 circle diffeomorphisms of irrational rotation number

Andr\'es Navas; Michele Triestino

arxiv: 1207.1481 · v4 · pith:O4TXOZEHnew · submitted 2012-07-05 · 🧮 math.DS

On the invariant distributions of C² circle diffeomorphisms of irrational rotation number

Andr\'es Navas , Michele Triestino This is my paper

classification 🧮 math.DS

keywords invariantcircledistributionsirrationalnumberrotationcontextdiffeomorphism

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We show that no C^2 circle diffeomorphism of irrational rotation number has invariant 1-distributions other than (scalar multiples of) the invariant measure. We also show that this is false in the C^1 context by giving both minimal and non-minimal examples.

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On the invariant distributions of C² circle diffeomorphisms of irrational rotation number

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