Anisotropic step, mutual contact and area weighted festoons and parallelogram polyominoes on the triangular lattice (original) (raw)
Related papers
Anisotropic step, surface contact, and area weighted directed walks on the triangular lattice
International Journal of Modern Physics B, 2002
Staircase polygons and recurrent lattice walks
Physical Review E, 1993
Punctured polygons and polyominoes on the square lattice
Journal of Physics A: Mathematical and General, 2000
Self-avoiding walks and polygons on the triangular lattice
Journal of Statistical Mechanics: Theory and Experiment, 2004
Generating functions for the area below some lattice paths
Discrete Mathematics & Theoretical Computer Science, 2003
Polygonal polyominoes on the square lattice
Journal of Physics A: Mathematical and General, 2001
The perimeter generating function of punctured staircase polygons
Journal of Physics A: Mathematical and General, 2006
Square Lattice Self-Avoiding Walks and Polygons
Annals of Combinatorics, 2001
Analytic Combinatorics of Lattice Paths: Enumeration and Asymptotics for the Area
Discrete Mathematics & Theoretical Computer Science, 2006
Honeycomb lattice polygons and walks as a test of series analysis techniques
Journal of Physics: Conference Series, 2006
Exact generating function for 2-convex polygons
Journal of Physics A: Mathematical and Theoretical, 2008
The unusual asymptotics of three-sided prudent polygons
Journal of Physics A: Mathematical and Theoretical, 2010
Journal of Statistical Physics, 1979
The area determined by underdiagonal lattice paths
Lecture Notes in Computer Science, 1996
The exact perimeter generating function for a model of punctured staircase polygons
Journal of Physics A: Mathematical and Theoretical, 2008
Asymptotic counts for the walk multiples of self-avoiding polygons on lattices using sieves 1
Asymptotic counts for the walk multiples of self-avoiding polygons on lattices using sieves
arXiv: Combinatorics, 2020
The enumeration of prudent polygons by area and its unusual asymptotics
Journal of Combinatorial Theory, Series A, 2011
Self-avoiding polygons on the square lattice
Journal of Physics A: Mathematical and General, 1999
Quenched Averages for Self-Avoiding Walks and Polygons on Deterministic Fractals
Journal of Statistical Physics, 2006
Size and area of square lattice polygons
Journal of Physics A: Mathematical and General, 2000
Invariance relations for random walks on hexagonal lattices
Chemical Physics Letters, 2003
An explicit effect of non-symmetry of random walks on the triangular lattice
2012
The Central Coefficients of a Family of Pascal-like Triangles and Colored Lattice Paths
J. Integer Seq., 2019
Hypergeometric expressions for generating functions of walks with small steps in the quarter plane
European Journal of Combinatorics, 2017
Generating functions for straight polyomino tilings of narrow rectangles
2022
Analysis of random walks on a hexagonal lattice
IMA Journal of Applied Mathematics, 2019
Area Distribution of Two-Dimensional Random Walks on a Square Lattice
Journal of Statistical Physics, 2009
History and Introduction to Polygon Models and Polyominoes
Lecture Notes in Physics, 2009
Statistics of the two self-avoiding random walks on the three-dimensional fractal lattices
Chaos, Solitons & Fractals, 2007
Exact enumeration study of free energies of interacting polygons and walks in two dimensions
Journal of Physics A: Mathematical and General, 1998
ma.utexas.edu
The linking number and the writhe of uniform random walks and polygons in confined spaces
Journal of Physics A: …, 2010