Alexander I. Bufetov, Boris Solomyak
Published 2016-12-29Version 1
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.
Comments: 14 pages. arXiv admin note: text overlap with arXiv:1305.7373
Local stability of ergodic averages
Oscillation of ergodic averages and other stochastic processes
Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
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