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arXiv · 1904.13055

Quantitative Multiple pointwise convergence and effective multiple correlations

Rene Rühr·Ronggang Shi
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Abstract

We show that effective $2\ell$-multiple correlations imply quantitative $\ell$-multiple pointwise ergodic theorems. The result has a wide class of applications which include subgroup actions on homogeneous spaces, ergodic nilmanifold automorphisms, subshifts of finite type and Young towers.

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Rene Rühr, Ronggang Shi. 2019-04-30. Quantitative Multiple pointwise convergence and effective multiple correlations. https://arxiv.org/abs/1904.13055

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