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Exponential decay of correlations for generic birational maps of P^k

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 Added by Gabriel Vigny
 Publication date 2013
  fields
and research's language is English
 Authors Gabriel Vigny




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We prove the exponential decay of correlations for C^alpha-observables (0<alpha =<2) for generic birational maps of P^k `a la Bedford-Diller. In the particular case of regular birational maps, we give a better estimate of the speed of the decay, getting results as sharp as Dinhs results for Henon maps.



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