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math.MG2023★ 5 cited
Simplexwise Distance Distributions for finite spaces with metrics and measures
Vitaliy Kurlin
A finite set of unlabelled points in Euclidean space is the simplest representation of many real objects from mineral rocks to sculptures. Since most solid objects are rigid, their…
math.MG2023
Complete invariants of atomic clouds under rigid motion with Lipschitz continuous metrics in a polynomial time
Vitaliy Kurlin
A basic representation of any real molecule is a finite cloud of unordered atoms, many of which are chemically indistinguishable. A natural equivalence on point clouds in any metri…