10 citations · 42 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
Bijections between walks inside a triangular domain and Motzkin paths of bounded amplitude
Julien Courtiel, Andrew Elvey Price, Irène Marcovici
This paper solves an open question of Mortimer and Prellberg asking for an explicit bijection between two families of walks. The first family is formed by what we name triangular w…
The six-vertex model on random planar maps revisited
Andrew Elvey Price, Paul Zinn-Justin
We address the six vertex model on a random lattice, which in combinatorial terms corresponds to the enumeration of weighted 4-valent planar maps equipped with an Eulerian orientat…
Counting lattice walks by winding angle
Andrew Elvey Price
We address the problem of counting walks by winding angle on the Kreweras lattice, an oriented version of the triangular lattice. Our method uses a new decomposition of the lattice…
Phylogenetic trees, augmented perfect matchings, and a Thron-type continued fraction (T-fraction) for the Ward polynomials
Andrew Elvey Price, Alan D. Sokal
We find a Thron-type continued fraction (T-fraction) for the ordinary generating function of the Ward polynomials, as well as for some generalizations employing a large (indeed inf…
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…