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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
Book
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
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
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
Probability Theory and Related Fields, ISSN 0178-8051, 12/2019, Volume 175, Issue 3, pp. 677 - 719
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
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
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 01/2019, Volume 475, Issue 2221, p. 20180549
The self-avoiding walk, and lattice spin systems such as the phi(4) model, are models of interest both in mathematics and in physics. Many of their important... 
Critical exponent | Renormalization | model | Self-avoiding walk | LONG-RANGE | critical exponent | RIGOROUS CONTROL | MULTIDISCIPLINARY SCIENCES | SUSCEPTIBILITY | self-avoiding walk | O(N) MODELS | CRITICAL EXPONENTS | phi model | FIELD BEHAVIOR | renormalization | LOGARITHMIC CORRECTIONS | FINITE-RANGE DECOMPOSITION | CONVERGENCE | CRITICAL-BEHAVIOR | 1008 | φ4 model | 120
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 2018, Volume 51, Issue 49, p. 490201
Journal Article
ANNALS OF PROBABILITY, ISSN 0091-1798, 09/2019, Volume 47, Issue 5, pp. 2801 - 2829
We study self-avoiding walk on graphs whose automorphism group has a transitive nonunimodular subgroup. We prove that self-avoiding walk is ballistic, that the... 
transitive graph | nonunimodular | bubble diagram | PERCOLATION | STATISTICS & PROBABILITY | CONNECTIVE CONSTANTS | Self-avoiding walk | nonamenable | mean-field
Journal Article
2005, 1st ed., ISBN 044451709X, 368
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
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 06/2019, Volume 524, pp. 362 - 374
In a signed network, nodes are connected by two types of logically contradictory links: positive and negative links. These two types of links may play... 
Self-Avoiding Pruning Walk | Signed network model | Path length | Structural balance | PHYSICS, MULTIDISCIPLINARY | NETWORKS | GRAPHS | Electrical engineering | Analysis | Algorithms
Journal Article
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 04/2018, Volume 51, Issue 20, p. 204001
We consider a simple cubic lattice self-avoiding walk model of 3-star polymers adsorbed at a surface and then desorbed by pulling with an externally applied... 
self-avoiding walk | phase diagram | pulled adsorbing lattice star | CHAIN | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Physics - Statistical Mechanics
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, 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 | EXPONENTS | PHYSICS, MULTIDISCIPLINARY | 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
Journal of Statistical Physics, ISSN 0022-4715, 4/2017, Volume 167, Issue 2, pp. 317 - 350
We consider the critical behaviour of the continuous-time weakly self-avoiding walk with contact self-attraction on $$\mathbb {Z}^4$$ Z 4 , for sufficiently... 
Collapse transition | Physical Chemistry | Theoretical, Mathematical and Computational Physics | Quantum Physics | Renormalisation group | Weakly self-avoiding walk | Physics | Statistical Physics and Dynamical Systems | DIMENSIONS | FINITE-RANGE DECOMPOSITION | PHYSICS, MATHEMATICAL | LATTICE
Journal Article
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