Stationary points at infinity for analytic combinatorics

DOI10.1007/s10208-021-09523-xzbMath1500.05008arXiv1905.05250OpenAlexW3196661826WikidataQ114228265 ScholiaQ114228265MaRDI QIDQ2088140

Stephen Melczer, Robin Pemantle, Yuliy M. Baryshnikov

Publication date: 21 October 2022

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.05250

zbMATH Keywords

critical pointcomputer algebraanalytic combinatoricsstratified Morse theoryACSVintersection cycle

Mathematics Subject Classification ID

Asymptotic enumeration (05A16) Topological aspects of complex manifolds (32Q55) Topological properties in algebraic geometry (14F45) PL-topology (57Q99)

Related Items (1)

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

Cites Work

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• Asymptotic distribution of motifs in a stochastic context-free grammar model of RNA folding
• Two-dimensional quantum random walk
• Asymptotics of multivariate sequences. III: Quadratic points
• Asymptotic exponential integrals. Newton's diagram, and the classification of minimal points
• Milnor numbers and the topology of polynomial hypersurfaces
• Newton polyhedra and toroidal varieties
• Stratification of real analytic mappings and images
• Newton polyhedra and estimation of oscillating integrals
• Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds
• Semialgebraic Sard theorem for generalized critical values.
• Algebraic Geometry. I: Complex projective varieties.
• Singularities at infinity and their vanishing cycles
• Laurent determinants and arrangements of hyperplane amoebas
• Thom isotopy theorem for nonproper maps and computation of sets of stratified generalized critical values
• Asymptotics of bivariate analytic functions with algebraic singularities
• Lacunas for hyperbolic differential operators with constant coefficients.I
• The diagonal of a double power series
• On the periods of certain rational integrals. I, II
• Algebraic diagonals and walks: algorithms, bounds, complexity
• Analytic Combinatorics in Several Variables
• Quantum random walk on the integer lattice: examples and phenomena
• Multidimensional Residues, Generating Functions, and Their Application to Queueing Networks
• Twenty Combinatorial Examples of Asymptotics Derived from Multivariate Generating Functions
• On Elementary Methods in Positivity Theory
• Characteristic Classes. (AM-76)
• Intégrales asymptotiques et monodromie
• The Residue Calculus in Several Complex Variables
• Three routes to the exact asymptotics for the one-dimensional quantum walk
• Asymptotics of Multivariate Sequences II: Multiple Points of the Singular Variety
• Notes on Topological Stability
• Algorithmic and Symbolic Combinatorics
• Diagonal asymptotics for symmetric rational functions via ACSV
• One-dimensional quantum walks
• Automatic asymptotics for coefficients of smooth, bivariate rational functions
• Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)

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