Ergodic Theorem for nonstationary random walks on compact abelian groups
Grigorii Monakov
研究紧致阿贝尔群上非平稳随机游走，在严格非周期性假设下证明了弱-*收敛到Haar测度、遍历定理及大偏差型估计。
我们考虑紧致可度量阿贝尔群上的非平稳随机游走。在经典严格非周期性假设下，我们建立了到Haar测度的弱-*收敛、遍历定理和大偏差型估计。
We consider a nonstationary random walk on a compact metrizable abelian group. Under a classical strict aperiodicity assumption we establish a weak-* convergence to the Haar measure, Ergodic Theorem and Large Deviation Type Estimate.
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