Robin Pemantle

14 citations · 29 across the 36 of their papers we have counts for

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math.CO2004

Asymptotics of multivariate sequences, II: multiple points of the singular variety

Robin Pemantle, Mark Wilson

We consider a multivariate generating function F(z), whose coefficients are indexed by d-tuples of nonnegative integers: F(z) = sum_r a_r z^r where z^r denotes the product of z_j^{…

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…