Reference for LIL for fractional Brownian motion

There is formula here (item 3):

https://math.stackexchange.com/a/2417816/21498

and how about that:

Séminaire de Probabilités XLI pp 161-179 Part of the Lecture Notes in Mathematics book series (LNM, volume 1934) A Law of the Iterated Logarithm for Fractional Brownian Motions

Driss BarakaThomas Mountford

This has been proved by S. Orey in this article:

Steven Orey. Growth rate of certain Gaussian processes. Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Vol. II : Probability theory. Berkeley, Calif. : Univ. California Press, 443-451, 1972.

Note that the growth rate is equivalent to the behavior at 0 by time inversion. You can get as well the LIL at any point by increments stationarity.