2011/05/12 by K. J. Falconer, Falconer, K. J., Jun Jie Miao +1
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #math.MG #msc:28A80 #msc:37C45
paper · pdf · doi:10.48550/arxiv.1105.2411
arxiv created 2011/05/12 · arxiv updated 2011/05/13
We show that, in a generic setting, self-affine and almost self-affine measures are exact dimensional, with local dimension equal almost everywhere to the information dimension and given by the zero of a superadditive pressure functional.