Quantitative Multiple pointwise convergence and effective multiple correlations
classification
🧮 math.DS
keywords
multiplecorrelationseffectiveergodicpointwisequantitativeactionsapplications
read the original 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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