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The consequence of overlap sharing for the length-distribution of rods...

Please imagine that one populates a finite line of unit length, or circle with unit length contour (to avoid edge-effects), with $N$ one-dimensional 'rods' such that their LHS-ends, at positions $(p_1,...

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Answer by Joseph O'Rourke for The consequence of overlap sharing for the...

This is not an answer, only a simplification and conjecture concerning that simplification.First, only consider $N$ large enough so that the interval/circle is fully covered(the "eventually" in my...

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Answer by RubeRad for The consequence of overlap sharing for the...

I don't have an answer either, except to note that this setup is very similar to the core of my dissertation. This stochastic distribution of random-length intervals models the problem of genomic...

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