Exponential decay of correlations for generic birational maps of Pk
Abstract
We prove the exponential decay of correlations for Cα-observables (0<α =<2) for generic birational maps of Pk \`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 Dinh's results for H\'enon maps.
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