Area Limit Laws for Symmetry Classes of Staircase Polygons
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Publication:3058299
DOI10.1017/S0963548309990629zbMath1227.05051arXiv0710.4041MaRDI QIDQ3058299
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Publication date: 19 November 2010
Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.4041
Geometric probability and stochastic geometry (60D05) Exact enumeration problems, generating functions (05A15) Polyominoes (05B50)
Related Items (2)
Limiting distributions for the number of inversions in labelled tree families ⋮ Linear functional equations with a catalytic variable and area limit laws for lattice paths and polygons
Cites Work
- Unnamed Item
- Unnamed Item
- The continuum random tree. I
- Brownian excursion area, wright's constants in graph enumeration, and other Brownian areas
- On \(q\)-functional equations and excursion moments
- Polygons, polyominoes and polycubes
- The Brownian excursion area: A numerical analysis
- Enumeriation of parallelogram polyominoes with given bond and site perimeter
- On the integral of the absolute value of the pinned Wiener process
- Empilements de segments et \(q\)-énumération de polyominos convexes dirigés. (Heaps of segments and \(q\)-enumeration of directed convex polyominoes)
- The asymptotic contour process of a binary tree is a Brownian excursion
- Functional central limit theorems for random walks conditioned to stay positive
- Enumeration of symmetry classes of convex polyominoes in the square lattice
- On the analysis of linear probing hashing
- \(Q\)-grammars and wall polyominoes
- Algebraic languages and polyominoes enumeration
- On the distribution of Brownian areas
- 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
- Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice
- Scaling function and universal amplitude combinations for self-avoiding polygons
- Stochastic analysis of tree–like data structures
- Rigorous derivation of the radius of gyration generating function for staircase polygons
- Singularity Analysis of Generating Functions
- Limit Distributions and Scaling Functions
- A Noncommutative Generalization and q-Analog of the Lagrange Inversion Formula
- A bernoulli excursion and its various applications
- On the Altitude of Nodes in Random Trees
- On the Contour of Random Trees
- Limit distributions for the Bernoulli meander
- A Multivariate Faa di Bruno Formula with Applications
- 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
- Erratum
- Analytic variations on the Airy distribution
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