Dixmier traces and coarse multifractal analysis

Details Dixmier traces and coarse multifractal analysis Dixmier traces and coarse multifractal analysis

2009-05-19

arxiv.org/abs/0905.3052v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We show how multifractal properties of a measure supported by a fractal F contained in [0,1] may be expressed in terms of complementary intervals of F and thus in terms of spectral triples and the Dixmier trace of certain operators. For self-similar measures this leads to a noncommutative integral over $F$ equivalent to integration with respect to an auxilary multifractal measure.

Affiliated with

Also associated with

No associations

Rating

Dixmier traces and coarse multifractal analysis 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 Dixmier traces and coarse multifractal analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dixmier traces and coarse multifractal analysis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699652