E. Canfield

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math.CO2003

A Discontinuity in the Distribution of Fixed Point Sums

Edward A. Bender, E. Rodney Canfield, L. Bruce Richmond +1

The quantity $f (n, r)$ , defined as the number of permutations of the set $[n] = {1, 2, ... n}$ whose fixed points sum to $r$ , shows a sharp discontinuity in the neighborhood of $r = n$ .…

math.CO2001

Random partitions with non negative rth differences

Rod Canfield, Sylvie Corteel, Pawel Hitczenko

Let $P_{r} (n)$ be the set of partitions of n with non negative rth differences. Let $λ$ be a partition chosen uniformly at random among the set $P_{r} (n)$ . Let $d (λ)$ be a positive rth…