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- W2071553772 abstract "We obtain pointwise ergodic theorems with rate under conditions expressed in terms of the convergence of series involving $|sum_{k=1} ^nfcirc theta^k|_2$, improving previous results. Then, using known results on martingale approximation, we obtain some LIL for stationary ergodic processes and quenched central limit theorems for functional of Markov chains. The proofs are based on the use of the spectral theorem and, on a recent work of Zhao-Woodroofe extending a method of Derriennic-Lin." @default.
- W2071553772 created "2016-06-24" @default.
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- W2071553772 date "2009-04-01" @default.
- W2071553772 modified "2023-09-27" @default.
- W2071553772 title "Pointwise ergodic theorems with rate and application to limit theorems for stationary processes" @default.
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