path. A self-avoiding polygon (SAP) is a closed self-avoiding walk on a lattice. Very little is known rigorously about the self-avoiding walk from a mathematical...

walk; still, the behavior of any model of a random walker is obtainable using computers. Examples include: The self-avoiding walk. The self-avoiding walk...

the connective constant is a numerical quantity associated with self-avoiding walks on a lattice. It is studied in connection with the notion of universality...

Dijkstra's algorithm Bellman–Ford algorithm Floyd–Warshall algorithm Self-avoiding walk Shortest-path graph McCuaig 1992, p. 205. Bender & Williamson 2010...

polymers to be treated with simplified models as either a random walk or a self-avoiding walk, which can simplify the treatment considerably. For an actual...

SAWStudio (Software Audio Workshop), a digital audio workstation Self-avoiding walk, a mathematical sequence Submerged arc welding Surface acoustic wave...

the chain, and leads to a self-avoiding random walk. Self-avoiding random walks have different statistics to simple random walks. The statistics of a single...

network theory, particularly the Erdős–Rényi model, the walk length of a random self-avoiding walk (SAW) is distributed according to the Gompertz distribution...

Thomas C. Spencer introduced "lace expansion" for the analysis of the self-avoiding walk. From 2003 to 2005, Brydges was president of International Association...

closely related FASS curves (approximately space-Filling, self-Avoiding, Simple, and Self-similar curves) can be thought of as finite approximations...

mathematician best known for his foundational work in the theory of self-avoiding walks and percolation theory. Hammersley was born in Helensburgh in Dunbartonshire...

applications to probability theory and statistical mechanics, such as self-avoiding random walks and their enumeration, random graphs, percolation theory, and...

exist for more general normalized Gibb's measures supported on self-conformal and self-similar sets. Hermann Minkowski's question mark function loosely...

but harder to find the way anywhere else. Maze solving algorithm Self-avoiding walk Brute-force search Wilson, David Bruce (May 22–24, 1996). "Generating...

Richard P.; (2010); A Combinatorial Miscellany Bóna, Miklós; (2011); A Walk Through Combinatorics (3rd ed.). ISBN 978-981-4335-23-2, 978-981-4460-00-2...

cases of the n-vector model are: n = 0 {\displaystyle n=0} : The self-avoiding walk n = 1 {\displaystyle n=1} : The Ising model n = 2 {\displaystyle n=2}...

and with it phase transitions. The pair investigated the number of self-avoiding walks that were possible in hexagonal lattices, connecting combinatorics...

steric effects. Real polymer coils are more closely represented by a self-avoiding walk because conformations in which different chain segments occupy the...

queens puzzle George Koltanowski Longest uncrossed knight's path Self-avoiding walk Brown, Alfred James (2017). Knight's Tours and Zeta Functions (MS...

Flory–Stockmayer theory Random sequential adsorption Star-shaped polymer Self-avoiding walk Awards Nobel Prize for Chemistry (1974) National Medal of Science...

ISBN 978-0-231-11638-1. Mireille Bousquet-Mélou. Two-dimensional self-avoiding walks (PDF). CNRS, LaBRI, Bordeaux, France. Hugo Duminil-Copin & Stanislav...

Feder, J., "Fractals", Plenum Press, New York, (1988). Hull-generating walks M Sahini; M Sahimi (2003). Applications Of Percolation Theory. CRC Press...

fractal theory such as classification and identification. The new fractal is self-similar to the original in some important features such as fractal dimension...

walks. It measures the diversity of self-avoiding walks which start from a given node. A walk on a network is a sequence of adjacent vertices; a self-avoiding...

polar (P), and the folding of a protein sequence is defined as a self-avoiding walk in a 2D or 3D lattice. The HP model imitates the hydrophobic effect...

a quadratic Koch island or Minkowski island/[snow]flake: Islands Self-avoiding walk Vicsek fractal Quadratic Koch curve type 2 Quadratic Koch curve type...

critical percolation, the critical Ising model, the double-dimer model, self-avoiding walks, and other critical statistical mechanics models that exhibit conformal...

Madras, N. and Slade, G., The self-avoiding walk, Birkhäuser, Boston, 1993. Kesten, H., On the number of self-avoiding walks. I and II. J. Math. Phys. 4...

Together with David Brydges, he proved that the scaling limit of the self-avoiding walk in dimension greater or equal than 5 is Gaussian, with variance growing...

– use stochastic rules; e.g., Lévy flight, percolation clusters, self avoiding walks, fractal landscapes, trajectories of Brownian motion and the Brownian...