2020/07/13 by Rapaport, Ariel · 1 citation
#28A80 #37C45 #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2007.06326
Assuming strong irreducibility and proximality, we prove that the Furstenberg measure, corresponding to a finitely supported measure on the general linear group of a finite dimensional real vector space, is exact dimensional. We also establish a Ledrappier-Young type formula for its dimension. The general strategy of the proof is based on the argument given by Feng for the exact dimensionality of self-affine measures.