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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124734In this paper, we prove Strassen's strong invariance principle for a vector-valued additive functionals of a Markov chain via the martingale argument and the theory of fractional coboundaries. The hypothesis is a moment bound on the resolvent.9 pagesProbability60F17; 60J10; 60J55An invariance principle for the law of the iterated logarithm for additive functionals of Markov chainstext