Kinematic formulas for finite lattices,
Annals of Combinatorics, 1 (1997), 353-366.
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.
This paper can be viewed as a sequel to my paper on
Kinematic formulas for finite vector spaces, in spite of the fact
that they appeared in the opposite order.
A pdf file for this paper is available
here.
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