For i.i.d. points with a bounded continuous density in a triangle, the longest convex chain grows like c n^{1/3}, with c given by a density-weighted affine arclength variational formula.
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Longest convex chains with i.i.d. points
For i.i.d. points with a bounded continuous density in a triangle, the longest convex chain grows like c n^{1/3}, with c given by a density-weighted affine arclength variational formula.