research
∙
03/16/2023
Rigorous Analytic Combinatorics in Several Variables in SageMath
We introduce the new sage_acsv package for the SageMath computer algebra...
share
research
∙
12/22/2022
Computing error bounds for asymptotic expansions of regular P-recursive sequences
Over the last several decades, improvements in the fields of analytic co...
research
∙
08/09/2022
Homotopy techniques for analytic combinatorics in several variables
We combine tools from homotopy continuation solvers with the methods of ...
research
∙
07/02/2022
Asymptotics of multivariate sequences IV: generating functions with poles on a hyperplane arrangement
Let F be the quotient of an analytic function with a product of linear f...
research
∙
11/11/2021
Multivariate Analytic Combinatorics for Cost Constrained Channels and Subsequence Enumeration
Analytic combinatorics in several variables is a powerful tool for deriv...
research
∙
11/16/2020
Sequence Positivity Through Numeric Analytic Continuation: Uniqueness of the Canham Model for Biomembranes
We prove solution uniqueness for the genus one Canham variational proble...
research
∙
05/13/2019
Stationary points at infinity for analytic combinatorics
On complex algebraic varieties, height functions arising in combinatoria...
research
∙
05/13/2019
Critical points at infinity for analytic combinatorics
On complex algebraic varieties, height functions arising in combinatoria...
research
∙
05/12/2019
Change of basis for m-primary ideals in one and two variables
Following recent work by van der Hoeven and Lecerf (ISSAC 2017), we disc...
research
∙
05/10/2019
Effective Coefficient Asymptotics of Multivariate Rational Functions via Semi-Numerical Algorithms for Polynomial Systems
The coefficient sequences of multivariate rational functions appear in m...
research
∙
05/10/2019
Asymptotics of multivariate sequences in the presence of a lacuna
We explain a discontinuous drop in the exponential growth rate for certa...
research
∙
06/09/2018
A fast algorithm for solving linearly recurrent sequences
We present an algorithm which computes the D^th term of a sequence satis...
research
∙
04/29/2018
Diagonal asymptotics for symmetric rational functions via ACSV
We consider asymptotics of power series coefficients of rational functio...
research
∙
09/15/2017
Analytic Combinatorics in Several Variables: Effective Asymptotics and Lattice Path Enumeration
The field of analytic combinatorics, which studies the asymptotic behavi...
research
∙
05/02/2016