Isolatedness vs. ambient density for halos of mass Mhalo≥ 5 ×1011h-1 M⊙, taken from the ΛCDM simulation. The horizontal line divides the isolated (log 10D1,1 ≥ 1) and clustered subsamples. The gray shading of the points denotes the binning in ambient density; red errorbars denote the mean and standard deviation of the ambient density and isolatedness in each ambient density bin.
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