We present the correlation dimension of resolved young stars in four actively star-forming dwarf galaxies that are sufficiently resolved and transparent to be modeled as projections of three-dimensional point distributions .
We use data in the Hubble Space Telescope archive ; photometry for one of them , UGCAÂ 292 , is presented here for the first time .
We find that there are statistically distinguishable differences in the nature of stellar clustering among the sample galaxies .
The young stars of VII Zw 403 , the brightest galaxy in the sample , have the highest value for the correlation dimension and also the most dramatic decrease with logarithmic scale , falling from 1.68 \pm 0.14 to 0.10 \pm 0.05 over less than a factor of ten in r .
This decrease is consistent with the edge effect produced by a projected Poisson distribution within a 2:2:1 ellipsoid .
The young stars in UGCÂ 4483 , the faintest galaxy in the sample , exhibit very different behavior , with a constant value of about 0.5 over this same range in r , extending nearly to the edge of the distribution .
This behavior may indicate either a scale-free distribution with an unusually low correlation dimension , or a two-component ( not scale-free ) combination of cluster and field stars .