On \(q\)-functional equations and excursion moments

DOI10.1016/j.disc.2007.12.072zbMath1227.39006arXivmath/0503198OpenAlexW2115836261MaRDI QIDQ998510

Christoph Richard

Publication date: 28 January 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503198

zbMATH Keywords

Brownian excursionlimit distribution\(q\)-difference equationsimply generated trees

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13)

Related Items (7)

The density of the ISE and local limit laws for embedded trees ⋮ Patterns in Random Permutations Avoiding the Pattern 132 ⋮ Linear functional equations with a catalytic variable and area limit laws for lattice paths and polygons ⋮ Tightness results for infinite-slit limits of the chordal Loewner equation ⋮ Cost functionals for large (uniform and simply generated) random trees ⋮ Area Limit Laws for Symmetry Classes of Staircase Polygons ⋮ Trees with power-like height dependent weight

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The continuum random tree. I
• The density of the ISE and local limit laws for embedded trees
• Left and right pathlengths in random binary trees
• Brownian excursion area, wright's constants in graph enumeration, and other Brownian areas
• The Brownian excursion area: A numerical analysis
• On the analysis of linear probing hashing
• \(Q\)-grammars and wall polyominoes
• Probability theory. Translated from the German by Robert B. Burckel
• Geodesic distance in planar graphs
• The depth first processes of Galton-Watson trees converge to the same Brownian excursion
• Basic analytic combinatorics of directed lattice paths
• Singularity analysis, Hadamard products, and tree recurrences
• Scaling behaviour of two-dimensional polygon models
• A method for the enumeration of various classes of column-convex polygons
• The continuum random tree. III
• Critical exponents from nonlinear functional equations for partially directed cluster models
• Stacking models of vesicles and compact clusters
• Stochastic analysis of tree–like data structures
• Kac's formula, levy's local time and brownian excursion
• Limit laws for embedded trees: Applications to the integrated superBrownian excursion
• Singularity Analysis of Generating Functions
• On the Joint Path Length Distribution in Random Binary Trees
• A bernoulli excursion and its various applications
• On the Altitude of Nodes in Random Trees
• The Wiener Index of simply generated random trees
• Area and Inertial Moment of Dyck Paths
• A Multivariate Faa di Bruno Formula with Applications
• Uniform q-series asymptotics for staircase polygons
• The first-passage area for drifted Brownian motion and the moments of the Airy distribution
• An invariance principle for conditioned recurrent random walk attracted to a stable law
• Analytic variations on the Airy distribution

This page was built for publication: On \(q\)-functional equations and excursion moments