I'm interested in functions that have a varying fractal dimension at different scales and/or regions. Has this been investigated in detail? I'd be interested in results and references in this area of research.
$\begingroup$
$\endgroup$
8
asked Aug 15, 2015 at 0:06
-
$\begingroup$ I hear that this is something that can appear in "diffusion limited aggregation", if I am not mistaken, en.wikipedia.org/wiki/Diffusion-limited_aggregation $\endgroup$– Per AlexanderssonCommented Aug 15, 2015 at 3:49
-
$\begingroup$ try looking up multifractal analysis. $\endgroup$– Anthony QuasCommented Aug 15, 2015 at 8:36
-
$\begingroup$ @PerAlexandersson Do you have any references? $\endgroup$– Zachary W. RobertsonCommented Aug 15, 2015 at 15:12
-
$\begingroup$ @ZacharyW.Robertson: Not really, but I get lots of hits on google; e.g. journals.aps.org/pre/abstract/10.1103/PhysRevE.85.021407 $\endgroup$– Per AlexanderssonCommented Aug 15, 2015 at 15:27
-
1$\begingroup$ Possibly relevant to what you're looking for: How can dimension depend on the point? $\endgroup$– Dave L RenfroCommented Aug 18, 2015 at 18:10
|
Show 3 more comments