Séminaire Lotharingien de Combinatoire, B45f (2001), 14 pp.
Moments of Inertia Associated with the Lozenge Tilings of a Hexagon
Consider the probability that an arbitrary chosen lozenge tiling of the
hexagon with side lengths a, b, c, a,
b, c contains the
horizontal lozenge with lowest vertex (x,y)
as if it described the
distribution of mass in the plane. We compute the horizontal and
the vertical moments of inertia with respect to this distribution.
This solves a problem by Propp (Problem 7 in
Received: January 16, 2001; Accepted: March 12, 2001.
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