Limit Distributions and Scaling Functions
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Publication:3651693
DOI10.1007/978-1-4020-9927-4_11zbMath1180.82089arXiv0704.0716OpenAlexW1944712394MaRDI QIDQ3651693
Publication date: 11 December 2009
Published in: Polygons, Polyominoes and Polycubes (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.0716
Exact enumeration problems, generating functions (05A15) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Polyominoes (05B50)
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Cites Work
- Fuchsian differential equation for the perimeter generating function of three-choice polygons
- The density of the ISE and local limit laws for embedded trees
- Brownian excursion area, wright's constants in graph enumeration, and other Brownian areas
- Area distribution and scaling function for punctured polygons
- On the supremum of a certain Gaussian process
- An explicit formula for the c.d.f. of the \(L_ 1 \)norm of the Brownian bridge
- The Brownian excursion area: A numerical analysis
- Enumeriation of parallelogram polyominoes with given bond and site perimeter
- Enumeration of symmetry classes of convex polyominoes in the square lattice
- Singularity analysis and asymptotics of Bernoulli sums
- \(Q\)-grammars and wall polyominoes
- The generating function of convex polyominoes: The resolution of a \(q\)- differential system
- Algebraic languages and polyominoes enumeration
- Probabilistic analysis of some (un)directed animals
- The analysis of linear probing hashing with buckets
- The site-perimeter of bargraphs
- 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
- Haruspicy 2: The anisotropic generating function of self-avoiding polygons is not D-finite
- Asymptotics of Bernoulli random walks, bridges, excursions and meanders with a given number of peaks
- Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
- Critical exponents from nonlinear functional equations for partially directed cluster models
- Stacking models of vesicles and compact clusters
- Airy distribution function: from the area under a Brownian excursion to the maximal height of fluctuating interfaces
- On the non-holonomic character of logarithms, powers, and the \(n\)th prime function
- Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice
- On a probability problem connected with railway traffic
- q-linear approximants: scaling functions for polygon models
- Scaling function and universal amplitude combinations for self-avoiding polygons
- Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams
- Rectangular vesicles in three dimensions
- On the analyticity properties of scaling functions in models of polymer collapse
- Scaling prediction for self-avoiding polygons revisited
- Directed compact percolation: cluster size and hyperscaling
- Kac's formula, levy's local time and brownian excursion
- Singularity Analysis of Generating Functions
- Twenty Combinatorial Examples of Asymptotics Derived from Multivariate Generating Functions
- Counting d-Dimensional Polycubes and Nonrectangular Planar Polyominoes
- Directed compact percolation near a wall: III. Exact results for the mean length and number of contacts
- Une bijection entre les polyominos convexes dirigés et les mots de Dyck bilatères
- Lattice Models of Polymers
- Percolation
- A scaling theory of the collapse transition in geometric cluster models of polymers and vesicles
- Probabilistic analysis of column-convex and directed diagonally-convex animals
- The Wiener Index of simply generated random trees
- On the finite-size scaling of clusters in compact directed percolation
- Staircase polygons, scaling functions and asymmetric compact directed percolation
- Statistical mechanics of directed models of polymers in the square lattice
- Mean area of self-avoiding loops
- Directed compact percolation near a wall. I. Biased growth
- Exact scaling functions for self-avoiding loops and branched polymers
- On a random area variable arising in discrete-time queues and compact directed percolation
- Area and Inertial Moment of Dyck Paths
- On the Contour of Random Trees
- Exact enumeration study of free energies of interacting polygons and walks in two dimensions
- Directed compact percolation near a wall. II. Cluster length and size
- Inflating square and rectangular lattice vesicles
- Limit distributions for the Bernoulli meander
- A Multivariate Faa di Bruno Formula with Applications
- Uniform q-series asymptotics for staircase polygons
- The perimeter generating function of punctured staircase polygons
- The first-passage area for drifted Brownian motion and the moments of the Airy distribution
- Rigorous derivation of the perimeter generating functions for the mean-squared radius of gyration of rectangular, Ferrers and pyramid polygons
- Plane partition vesicles
- Perimeter generating functions for the mean-squared radius of gyration of convex polygons
- Erratum
- A survey of one-dimensional random polymers.
- Analytic variations on the Airy distribution
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