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2006, ISBN 0444527354, 279
The aim of this book is to report on the progress realized in probability theory in the field of dynamic random walks and to present applications in computer... 
Random walks (Mathematics) | Mathematics | Stochastic processes
eBook
1993, Probability and its applications., ISBN 3764335890, xiv, 425
Book
Probability Surveys, ISSN 1549-5787, 2007, Volume 4, Issue 1, pp. 1 - 79
Probability Surveys 2007, Vol. 4, 1-79 The models surveyed include generalized P\'{o}lya urns, reinforced random walks, interacting urn models, and continuous... 
Reinforced random walk | Urn model | Ṕolya's urn | VRRW | Dynamical system | Stochas-tic approximation | Self-avoiding walk | Agent-based model | Learning | Urn scheme | ERRW | Evo-lutionary game theory | Exchangeability | Lyapunov function | Mathematics - Probability
Journal Article
2013, 1. Aufl., Modern Birkhauser classics, ISBN 1461460247, 435
The self-avoiding walk is a mathematical model that has important applications in statistical mechanics and polymer science. In spite of its simple... 
Self-avoiding walks (Mathematics) | Mathematics | Chemistry, Physical and theoretical | Statistical physics
eBook
2005, 1st ed., ISBN 044451709X, 357
With the mapping of the partition function graphs of the n-vector magnetic model in the n to 0 limit as the self-avoiding walks, the conformational statistics... 
Self-avoiding walks (Mathematics) | Mathematical models | Polymers | Random walks (Mathematics) | Statistics | Agriculture & Farming
eBook
03/2011
Self-avoiding walks on a d-dimensional hypercubic lattice are used to model a polymer interacting with a surface. One can choose to weight the walk by the... 
self-avoiding walks | 0494 | polymer adsorption
Dissertation
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 09/2019, Volume 946, p. 114696
Self-avoiding walks (SAWs) and loop-erased random walks (LERWs) are two ensembles of random paths with numerous applications in mathematics, statistical... 
RENORMALIZATION-GROUP | 3-LOOP ORDER | SUPERSYMMETRY | SYMMETRY | CHARGE-DENSITY WAVES | DYNAMICS | SELF-AVOIDING WALK | FRACTAL DIMENSION | DISORDERED ELASTIC INTERFACES | CRITICAL EXPONENTS | PHYSICS, PARTICLES & FIELDS
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 06/2017, Volume 50, Issue 26, p. 264003
We implement a scale-free version of the pivot algorithm and use it to sample pairs of three-dimensional self-avoiding walks, for the purpose of efficiently... 
pivot algorithm | self-avoiding walk | Monte Carlo | critical exponent
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 10/2015, Volume 48, Issue 45, pp. 454001 - 27
We study various self-avoiding walks (SAWs) which are constrained to lie in the upper half-plane and are subjected to a compressive force. This force is... 
compressive force | bridges | self-avoiding walks | Schramm-Loewner evolution | self-avoiding polygons | DIMENSIONS | EXPONENTS | PHYSICS, MULTIDISCIPLINARY | SQUARE LATTICE | PHYSICS, MATHEMATICAL | Functions (mathematics) | Half spaces | Mathematical analysis | Evolution | Boundaries | Compressed | Saws | Polygons
Journal Article
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 10/2019, Volume 52, Issue 40, p. 405001
We consider self-avoiding walks terminally attached to a surface at which they can adsorb. A force is applied, normal to the surface, to desorb the walk and we... 
POLYMER-CHAIN | phase diagram | pulled self-avoiding walks | adsorbing self-avoiding walks | Monte Carlo | PHYSICS, MULTIDISCIPLINARY | SURFACE | PHYSICS, MATHEMATICAL
Journal Article
Discrete and Continuous Dynamical Systems - Series S, ISSN 1937-1632, 04/2017, Volume 10, Issue 2, pp. 289 - 311
We show that the 'erasing-larger-loops-first' (ELLF) method, which was first introduced for erasing loops from the simple random walk on the Sierpinski gasket,... 
Loop-erased random walk | Fractal | Fractal dimension | Scaling limit | Sierpinski gasket | Displacement exponent | Self-avoiding walk | Self-repelling walk | MATHEMATICS, APPLIED | UNIFORM SPANNING-TREES | scaling limit | fractal dimension | fractal | PATHS | self-avoiding walk | displacement exponent | self-repelling walk
Journal Article
The European Physical Journal B, ISSN 1434-6028, 9/2017, Volume 90, Issue 9, pp. 1 - 5
Using the Monte Carlo simulation, we investigate a memory-impaired self-avoiding walk on a square lattice in which a random walker marks each of sites visited... 
Condensed Matter Physics | Solid State Physics | Physics, general | Fluid- and Aerodynamics | Complex Systems | Physics | PHYSICS, CONDENSED MATTER | SELF-AVOIDING WALK | MOTION | STOCHASTIC TRANSPORT | MODEL | Monte Carlo method | Alzheimer's disease
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2019, Volume 52, Issue 2, p. 25004
Journal Article
Open Systems and Information Dynamics, ISSN 1230-1612, 12/2018, Volume 25, Issue 4
A model of non-reversal quantum walk is introduced. The process is introduced in 1D and 2D using the formalism of open quantum walks (OQWs). In such a walk, a... 
quantum channels | open quantum walks | Self-avoiding walks | open quantum systems | quantum trajectories | STATISTICS & PROBABILITY | PHYSICS, MATHEMATICAL
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2016, Volume 49, Issue 11, p. 11
We prove some theorems about self-avoiding walks attached to an impenetrable surface (i.e. positive walks) and subject to a force. Specifically we show the... 
65C05 | adsorbing self-avoiding walk | free energy | 82B80 | phase diagram Mathematics Subject Classification: 82B41 | phase diagram | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Theorems | Mathematical models | Confining | Planes | Free energy | Convergence | Physics - Statistical Mechanics
Journal Article
The Journal of Chemical Physics, ISSN 0021-9606, 07/2016, Volume 145, Issue 1, p. 014906
We study the winding angles of random and self-avoiding walks (SAWs) on square and cubic lattices with number of steps N ranging up to 107. We show that the... 
DISTRIBUTIONS | CHEMISTRY, PHYSICAL | SELF-AVOIDING WALKS | PIVOT ALGORITHM | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Winding | Random walk theory | Cubic lattice | Random walk | Dependence | Convergence
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