Stephen Melczer

Latest

• Completing the Asymptotic Classification of Mostly Symmetric Short Step Walks in an Orthant
• Asymptotics of multivariate sequences in the presence of a lacuna
• Central Limit Theorems via Analytic Combinatorics in Several Variables
• Computing Error Bounds for Asymptotic Expansions of Regular P-Recursive Sequences
• Asymptotics of multivariate sequences IV: generating functions with poles on a hyperplane arrangement
• Enumeration and Succinct Encoding of AVL Trees
• An Invitation to Enumeration (enumeration.ca)
• Rigorous Analytic Combinatorics in Several Variables in SageMath
• Exact Asymptotics for Discrete Noiseless Channels
• Homotopy Techniques for Analytic Combinatorics in Several Variables
• Asymptotics of coefficients of algebraic series via embedding into rational series
• Sequence Positivity Through Numeric Analytic Continuation: Uniqueness of the Canham Model for Biomembranes
• Stationary points at infinity for analytic combinatorics
• Asymptotic bounds on graphical partitions and partition comparability
• Effective Coefficient Asymptotics of Multivariate Rational Functions via Semi-Numerical Algorithms for Polynomial Systems
• An Invitation to Analytic Combinatorics: From One to Several Variables
• Asymptotic Enumeration of Lonesum Matrices
• Counting walks with large steps in an orthant
• Counting Partitions inside a Rectangle
• Combinatorial Adventures in Analysis, Algebra, and Topology
• Higher Dimensional Lattice Walks: Connecting Combinatorial and Analytic Behavior
• Change of Basis for M-primary Ideals in One and Two Variables
• Counting partitions inside a rectangle
• Vertically constrained Motzkin-like paths inspired by bobbin lace
• A Fast Algorithm for Solving Linearly Recurrent Sequences
• Diagonal asymptotics for symmetric rational functions via ACSV
• Weighted lattice walks and universality classes
• Analytic Combinatorics in Several Variables: Effective Asymptotics and Lattice Path Enumeration
• Tableau sequences, open diagrams, and Baxter families
• On 3-dimensional lattice walks confined to the positive octant
• Asymptotic lattice path enumeration using diagonals
• Asymptotics of lattice walks via analytic combinatorics in several variables
• Symbolic-Numeric Tools for Analytic Combinatorics in Several Variables
• A Baxter class of a different kind, and other bijective results using tableau sequences ending with a row shape
• Asymptotic lattice path enumeration using diagonals
• Ink-constrained halftoning with application to QR codes
• Singularity analysis via the iterated kernel method
• Singularity analysis via the iterated kernel method