Polygons, polyominoes and polycubes
From MaRDI portal
Publication:998962
DOI10.1007/978-1-4020-9927-4zbMath1162.82005OpenAlexW3103323145MaRDI QIDQ998962
No author found.
Publication date: 30 January 2009
Published in: Lecture Notes in Physics (Search for Journal in Brave)
Full work available at URL: http://cds.cern.ch/record/1339307
Collections of articles of miscellaneous specific interest (00B15) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Proceedings, conferences, collections, etc. pertaining to statistical mechanics (82-06)
Related Items (39)
Self-avoiding walks in a rectangle ⋮ Knotting statistics for polygons in lattice tubes ⋮ λ > 4 ⋮ Two-dimensional interacting self-avoiding walks: new estimates for critical temperatures and exponents ⋮ Unnamed Item ⋮ High-dimensional holeyominoes ⋮ Enumeration of various animals on the triangular lattice ⋮ High-temperature series expansion for spin-1/2 Heisenberg models ⋮ Region selection in Markov random fields: Gaussian case ⋮ The number of polyiamonds is supermultiplicative ⋮ Fighting fish ⋮ Non-lattice-periodic tilings of \(\mathbb R^3\) by single polycubes ⋮ Saturated fully leafed tree-like polyforms and polycubes ⋮ Operator content of the critical Potts model in \(d\) dimensions and logarithmic correlations ⋮ The perimeter generating function for nondirected diagonally convex polyominoes ⋮ Maximal fluctuations around the Wulff shape for edge-isoperimetric sets in \({\mathbb{Z}}^d \): a sharp scaling law ⋮ Convex polyominoes revisited: enumeration of outer site perimeter, interior vertices, and boundary vertices of certain degrees ⋮ Unnamed Item ⋮ A polyominoes-permutations injection and tree-like convex polyominoes ⋮ Fighting fish: enumerative properties ⋮ Counting planar Eulerian orientations ⋮ Numerical studies of Thompson’s group F and related groups ⋮ The perimeter of words ⋮ Area Limit Laws for Symmetry Classes of Staircase Polygons ⋮ The three-state Potts antiferromagnet on plane quadrangulations ⋮ On Polyominoes and Digital Cameras ⋮ The number of directed \(k\)-convex polyominoes ⋮ 3D positive lattice walks and spherical triangles ⋮ Counting lattice points on bargraphs of Catalan words ⋮ On column-convex and convex Carlitz polyominoes ⋮ The Perimeter of Proper Polycubes ⋮ Large deviations of convex polyominoes ⋮ Extremal topological and geometric problems for polyominoes ⋮ Further steps on the reconstruction of convex polyominoes from orthogonal projections ⋮ Uniform asymptotics of area-weighted Dyck paths ⋮ Improved upper bounds on the growth constants of polyominoes and polycubes ⋮ A new mathematical model for tiling finite regions of the plane with polyominoes ⋮ An improved lower bound on the growth constant of polyiamonds ⋮ Synergistic development of differential approximants and the finite lattice method in lattice statistics
This page was built for publication: Polygons, polyominoes and polycubes