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  • invariant ergodic measure  (1)
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    Electronic Resource
    Electronic Resource
    Contributions to a Rigidity Conjecture (1998)
    Springer
    Acta applicandae mathematicae 53 (1998), S. 265-295 
    Details
    ISSN: 1572-9036
    Keywords: invariant ergodic measure ; Lebesque measure ; entropy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let p and q be two relatively prime positive integers and μ 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 μ is either the Lebesgue measure or supported on a periodic orbit. And extend the results for general expanding differentiable maps of the circle.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1005816204645
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