Edward A. Bender

most citedIrreducible compositions and the first return to the origin of a random walk

10 citations · 10 across the 2 of their papers we have counts for

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math.CO2004★ 10 cited

Irreducible compositions and the first return to the origin of a random walk

Edward A. Bender, Gregory F. Lawler, Robin Pemantle +1

Let $n = b_{1} + ... + b_{k} = b_{1}^{'} + \cdot + b_{k}^{'}$ be a pair of compositions of $n$ into $k$ positive parts. We say this pair is {\em irreducible} if there is no positive $j < k$ for…

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 $r = n$ .…