47 citations · 161 across the 20 of their papers we have counts for
31 papers
A SageMath Package for Analytic Combinatorics in Several Variables: Beyond the Smooth Case
Benjamin Hackl, Andrew Luo, Stephen Melczer +1
The field of analytic combinatorics in several variables (ACSV) develops techniques to compute the asymptotic behaviour of multivariate sequences from analytic properties of their…
Completing the Asymptotic Classification of Mostly Symmetric Short Step Walks in an Orthant
Alexander Kroitor, Stephen Melczer
In recent years, the techniques of analytic combinatorics in several variables (ACSV) have been applied to determine asymptotics for several families of lattice path models restric…
Rigorous Analytic Combinatorics in Several Variables in SageMath
Benjamin Hackl, Andrew Luo, Stephen Melczer +2
We introduce the new sage_acsv package for the SageMath computer algebra system, allowing users to rigorously compute asymptotics for a large variety of multivariate sequences with…
Computing error bounds for asymptotic expansions of regular P-recursive sequences
Ruiwen Dong, Stephen Melczer, Marc Mezzarobba
Over the last several decades, improvements in the fields of analytic combinatorics and computer algebra have made determining the asymptotic behaviour of sequences satisfying line…
Central Limit Theorems via Analytic Combinatorics in Several Variables
Stephen Melczer, Tiadora Ruza
The field of analytic combinatorics is dedicated to the creation of effective techniques to study the large-scale behaviour of combinatorial objects. Although classical results in…
Homotopy techniques for analytic combinatorics in several variables
Kisun Lee, Stephen Melczer, Josip Smolčić
We combine tools from homotopy continuation solvers with the methods of analytic combinatorics in several variables to give the first practical algorithm and implementation for the…