63 citations · 249 across the 29 of their papers we have counts for
14 papers · 1 filter
Asymptotics of coefficients of algebraic series via embedding into rational series (extended abstract)
Torin Greenwood, Stephen Melczer, Tiadora Ruza +1
We present a strategy for computing asymptotics of coefficients of -variate algebraic generating functions. Using known constructions, we embed the coefficient array into an arr…
Higher Dimensional Lattice Walks: Connecting Combinatorial and Analytic Behavior
Stephen Melczer, Mark C. Wilson
We consider the enumeration of walks on the non-negative lattice , with steps defined by a set . Previous…
Asymptotics of lattice walks via analytic combinatorics in several variables
Stephen Melczer, Mark C. Wilson
We consider the enumeration of walks on the two dimensional non-negative integer lattice with short steps. Up to isomorphism there are 79 unique two dimensional models to consider,…
Congruence successions in compositions
Toufik Mansour, Mark Shattuck, Mark C. Wilson
A \emph{composition} is a sequence of positive integers, called \emph{parts}, having a fixed sum. By an \emph{-congruence succession}, we will mean a pair of adjacent parts …
A new approach to asymptotics of Maclaurin coefficients of algebraic functions
Alexander Raichev, Mark C. Wilson
We propose a general method for deriving asymptotics of the Maclaurin series coefficients of algebraic functions that is based on a procedure of K. V. Safonov and multivariate sing…
Probability calculations under the IAC hypothesis
Mark C. Wilson, Geoffrey Pritchard
We show how powerful algorithms recently developed for counting lattice points and computing volumes of convex polyhedra can be used to compute probabilities of a wide variety of e…