Resumen de Typical Lq-Dimensions of Measures
Lars Olsen
For a probability measure µ on a subset of , the lower and upper Lq-dimensions of order are defined by We study the typical behaviour (in the sense of Baire¿s category) of the Lq-dimensions and . We prove that a typical measure µ is as irregular as possible: for all q = 1, the lower Lq-dimension attains the smallest possible value and the upper Lq-dimension attains the largest possible value.
