Barral, Julien; Loiseau, Patrick - In: Stochastic Processes and their Applications 121 (2011) 10, pp. 2272-2302
We establish large deviation properties valid for almost every sample path of a class of stationary mixing processes (X1,...,Xn,...). These properties are inherited from those of and describe how the local fluctuations of almost every realization of Sn deviate from the almost sure behavior....