meeting update

Did some modeling of random particle distributions to understand galactic colonization in a static system.

Here is a plot showing the number of 'isolated' subgroups of systems given a probe range. The number of isolated subgroups (y-axis) is scaled by N and the probe range (x-axis) is scaled by (1/ND) where D is the dimension. This demonstrates the cutoff in propagation for static systems when the density drops to only a few habitable systems within range on average. The two sets of red lines are for 2D and 3D and they were calculated with 1000 and 10,000 systems. (The 2D system has the longer tail)

And here is another plot showing the fraction of the number of systems that can be reached starting at a point chosen at random as a function of the average number of systems within a sphere of radius probe range.

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