Kinematic formulas for finite lattices |
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Authors: | Daniel A Klain |
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Institution: | (1) School of Mathematics, Georgia Institute of Technology, 30332-0160 Atlanta, GA, USA |
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Abstract: | In analogy to valuation characterizations and kinematic formulas of convex geometry, we develop a combinatorial theory of invariant valuations and kinematic formulas for finite lattices. Combinatorial kinematic formulas are shown to have application to some probabilistic questions, leading in turn to polynomial identities for Möbius functions and Whitney numbers. |
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Keywords: | 05A05 05A10 05A19 05A25 52A22 |
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