Quantitative Multiple pointwise convergence and effective multiple correlations
Rene Rühr, Ronggang Shi
Paper2019-04-30English
quantitative financearxiv
Description
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.