Contributions to a Rigidity Conjecture |
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Authors: | Maria Carvalho |
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Institution: | (1) Centro de Matemática, Faculdade de Ciências, Universidade do Porto, 4050 Porto, Portugal |
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Abstract: | Let p and q be two relatively prime positive integers and a Borel probability measure invariant and ergodic by the semigroup generated by the action of both zp and zq. We analyse sufficient conditions to guarantee that is either the Lebesgue measure or supported on a periodic orbit. And extend the results for general expanding differentiable maps of the circle. |
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Keywords: | invariant ergodic measure Lebesque measure entropy |
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