Publication Search | Stephen Melczer

Completing the Asymptotic Classification of Mostly Symmetric Short Step Walks in an Orthant

Alexander Kroitor, Stephen Melczer

Journal Version arXiv Version

Asymptotics of multivariate sequences in the presence of a lacuna

Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle

Journal Version arXiv Version

Central Limit Theorems via Analytic Combinatorics in Several Variables

Stephen Melczer, Tiadora Ruza

Journal Version arXiv Version Code

Computing Error Bounds for Asymptotic Expansions of Regular P-Recursive Sequences

Ruiwen Dong, Stephen Melczer, Marc Mezzarobba

Journal Version arXiv Version

Enumeration and Succinct Encoding of AVL Trees

Jeremy Chizewer, Stephen Melczer, J. Ian Munro, Ava Pun

Published Version arXiv Version

Asymptotics of multivariate sequences IV: generating functions with poles on a hyperplane arrangement

Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle

Journal Version arXiv Version Code

Analytic Combinatorics in Several Variables, 2nd Edition

Robin Pemantle, Mark C. Wilson, Stephen Melczer

Book Webpage and Manuscript

An Invitation to Enumeration (enumeration.ca)

Stephen Melczer

Link to Notes

Rigorous Analytic Combinatorics in Several Variables in SageMath

Benjamin Hackl, Andrew Luo, Stephen Melczer, Jesse Selover, Elaine Wong

Journal Version arXiv Version GitHub

Exact Asymptotics for Discrete Noiseless Channels

Andreas Lenz, Stephen Melczer, Cyrus Rashtchian, Paul H. Siegel

Journal Version

Homotopy Techniques for Analytic Combinatorics in Several Variables

Kisun Lee, Stephen Melczer, Josip Smolčić

Journal Version arXiv Version Julia package

Sequence Positivity Through Numeric Analytic Continuation: Uniqueness of the Canham Model for Biomembranes

Stephen Melczer, Marc Mezzarobba

Journal Version arXiv Version Code

Asymptotics of coefficients of algebraic series via embedding into rational series

Torin Greenwood, Stephen Melczer, Tiadora Ruza, Mark C. Wilson

Journal Version arXiv Version

Stationary points at infinity for analytic combinatorics

Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle

Journal Version arXiv Version Code

Asymptotic bounds on graphical partitions and partition comparability

Stephen Melczer, Marcus Michelen, Somabha Mukherjee

Journal Version arXiv Version

Effective Coefficient Asymptotics of Multivariate Rational Functions via Semi-Numerical Algorithms for Polynomial Systems

Stephen Melczer, Bruno Salvy

Journal Version arXiv Version Maple Code

An Invitation to Analytic Combinatorics: From One to Several Variables

Stephen Melczer

Book Website and Manuscript Publisher Website

Counting walks with large steps in an orthant

Alin Bostan, Mireille Bousquet-Mélou, Stephen Melczer

Journal Version arXiv Version Code

Asymptotic Enumeration of Lonesum Matrices

Jessica Khera, Erik Lundberg, Stephen Melczer

Journal Version arXiv Version

Counting Partitions inside a Rectangle

Stephen Melczer, Greta Panova, Robin Pemantle

Journal Version arXiv Version

Combinatorial Adventures in Analysis, Algebra, and Topology

Stephen Melczer, Marni Mishna, Robin Pemantle

Journal Version

Higher Dimensional Lattice Walks: Connecting Combinatorial and Analytic Behavior

Stephen Melczer, Mark C. Wilson

Journal Version arXiv Version

Counting partitions inside a rectangle

Stephen Melczer, Greta Panova, Robin Pemantle

Journal Version

Change of Basis for M-primary Ideals in One and Two Variables

Seung Gyu Hyun, Stephen Melczer, Éric Schost, Catherine St-Pierre

Journal Version arXiv Version

Vertically constrained Motzkin-like paths inspired by bobbin lace

Veronika Irvine, Stephen Melczer, Frank Ruskey

Journal Version arXiv Version

A Fast Algorithm for Solving Linearly Recurrent Sequences

Seung Gyu Hyun, Stephen Melczer, Catherine St-Pierre

Journal Version arXiv Version

Diagonal asymptotics for symmetric rational functions via ACSV

Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle, Armin Straub

Published Version arXiv Version

Weighted lattice walks and universality classes

Julien Courtiel, Stephen Melczer, Marni Mishna, Kilian Raschel

Journal Version arXiv Version

Analytic Combinatorics in Several Variables: Effective Asymptotics and Lattice Path Enumeration

Stephen Melczer

arXiv Version Waterloo Link ENS Link Code

Tableau sequences, open diagrams, and Baxter families

Sophie Burrill, Julien Courtiel, Eric Fusy, Stephen Melczer, Marni Mishna

Journal Version arXiv Version

On 3-dimensional lattice walks confined to the positive octant

Alin Bostan, Mireille Bousquet-Mélou, Manuel Kauers, Stephen Melczer

Journal Version arXiv Version

Asymptotic lattice path enumeration using diagonals

Stephen Melczer, Marni Mishna

Journal Version arXiv Version Extended Abstract

Symbolic-Numeric Tools for Analytic Combinatorics in Several Variables

Stephen Melczer, Bruno Salvy

Journal Version arXiv Version

Asymptotics of lattice walks via analytic combinatorics in several variables

Stephen Melczer, Mark C. Wilson

Published Version arXiv Version

A Baxter class of a different kind, and other bijective results using tableau sequences ending with a row shape

Sophie Burrill, Stephen Melczer, Marni Mishna

Published Version arXiv Version

Asymptotic lattice path enumeration using diagonals

Stephen Melczer, Marni Mishna

Journal Version

Ink-constrained halftoning with application to QR codes

Marzieh Bayeh, Erin Compaan, Theodore Lindsey, Nathan Orlow, Stephen Melczer, Zachary Voller

Journal Version

Singularity analysis via the iterated kernel method

Stephen Melczer, Marni Mishna

Journal Version arXiv Version Extended Abstract

Singularity analysis via the iterated kernel method

Stephen Melczer, Marni Mishna

Journal Version