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- W1570854194 abstract "Let $(X,mathcal{B},mu)$ be a probability space and let $T_1,ldots , T_l$ be $l$ commuting invertible measure preserving transformations of $X$. We show that if $T_1^{c_1} ldots T_l^{c_l}$ is ergodic for each $(c_1,ldots ,c_l)neq(0,ldots,0)$, then the averages $frac{1}{|Phi_N|}sum_{uinPhi_N}prod _{i=1}^r T_1^{p_{i1}(u)}ldots T_l^{p_{il}(u)}f_i$ converge in $L^2(mu)$ for all polynomials $p_{ij} : mathbb {Z}^dtomathbb{Z}$, all $f_iin L^{infty}(mu)$, and all Følner sequences ${Phi_N}_{N=1}^{infty}$ in $mathbb{Z}^d$." @default.
- W1570854194 created "2016-06-24" @default.
- W1570854194 creator A5040651397 @default.
- W1570854194 date "2009-01-01" @default.
- W1570854194 modified "2023-10-16" @default.
- W1570854194 title "Convergence of polynomial ergodic averages of several variables for some commuting transformations" @default.
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- W1570854194 doi "https://doi.org/10.1215/ijm/1286212920" @default.
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