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Article Dans Une Revue Bulletin de la société mathématique de France Année : 2018

On ergodic averages for parabolic product flows

Résumé

We consider a direct product of a suspension flow over a substitution dynamical system and an arbitrary ergodic flow and give quantitative estimates for the speed of convergence for ergodic integrals of such systems. Our argument relies on new uniform estimates of the spectral measure for suspension flows over substitution dynamical systems. The paper answers a question by Jon Chaika.

Dates et versions

hal-01479027 , version 1 (28-02-2017)

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Alexander I. Bufetov, Boris Solomyak. On ergodic averages for parabolic product flows. Bulletin de la société mathématique de France, 2018, 146 (4), pp.675-690. ⟨10.24033/bsmf2770⟩. ⟨hal-01479027⟩
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