On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS

Details On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS

2007-07-24

arxiv.org/abs/0707.3532v2

Mathematics

Dynamical Systems

16 pages; to appear in Journal of Stat. Phys

Scientific paper

10.1007/s10955-008-9566-3

We consider measures which are invariant under a measurable iterated function
system with positive, place-dependent probabilities in a separable metric
space. We provide an upper bound of the Hausdorff dimension of such a measure
if it is ergodic. We also prove that it is ergodic iff the related skew product
is.

Affiliated with

Also associated with

No associations

Rating

On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-440269