This formula connects geometric properties of the measure to dynamical
quantities of the system. One of the essential assumptions of this formula,
is that the entropy of the measure is finite. In this talk, I will show
that for a certain class of maps modelled by a countable Markov shift and a
class of Gibbs/Bernoulli measures with infinite entropy, it is possible to
compute the local dimensions almost everywhere and consequently, obtain the
values of the Hausdorff and the packing dimension of the measure.
Webmaster University of Houston
---
Last modified: April 08 2016 - 20:30:35
