130 citations · 2k across the 94 of their papers we have counts for
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Asymptotics of 3-stack-sortable permutations
Colin Defant, Andrew Elvey Price, Anthony J Guttmann
We derive a simple functional equation with two catalytic variables characterising the generating function of 3-stack-sortable permutations. Using this functional equation, we exte…
Statistical Mechanics of Confined Polymer Networks
Bertrand Duplantier, Anthony J Guttmann
We show how the theory of the critical behaviour of -dimensional polymer networks of arbitrary topology can be generalized to the case of networks confined by hyperplanes. This…
Stieltjes moment sequences for pattern-avoiding permutations
Alin Bostan, Andrew Elvey Price, Anthony John Guttmann +1
A small set of combinatorial sequences have coefficients that can be represented as moments of a nonnegative measure on . Such sequences are known as Stieltjes moment…