An invariance principle for the law of the iterated logarithm for vector-valued additive functionals of Markov chains

@inproceedings{Yang2013AnIP,
  title={An invariance principle for the law of the iterated logarithm for vector-valued additive functionals of Markov chains},
  author={Guangyu Yang and Yu Miao and Xiaowen Zhang},
  year={2013}
}
In this note, we prove the Strassen’s strong invariance principle for vectorvalued additive functionals of a Markov chain via the martingale argument and the theory of fractional coboundaries. AMS subject classifications: 60F05, 60J05 

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