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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 Theory and Related Fields, ISSN 0178-8051, 12/2019, Volume 175, Issue 3, pp. 677 - 719
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 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
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
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
New Journal of Physics, ISSN 1367-2630, 2019, Volume 21, Issue 3, p. 35001
A signed network represents how a set of nodes are connected by two logically contradictory types of links: positive and negative links. In a signed products... 
OA-Fund TU Delft | random walk | self-avoiding walk | signed network | SPREADING PROCESSES | PHYSICS, MULTIDISCIPLINARY | MULTILAYER | Pruning | Links | Random walk | Information dissemination | Recommender systems | Nodes
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
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
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 Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2019, Volume 52, Issue 2, p. 25004
Journal Article
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
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
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, ISSN 1751-8113, 07/2016, Volume 49, Issue 28, p. 285002
We present an analytical and numerical study of the paths of self avoiding walks (SAWs) on random networks. Since these walks do not retrace their paths, they... 
last hitting time | random walk | NUMBER | attrition length | PHYSICS, MULTIDISCIPLINARY | random network | self-avoiding walk | Erdos-Renyi network | degree distribution | PHYSICS, MATHEMATICAL
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 06/2017, Volume 50, Issue 26, p. 264002
We study self-avoiding walks on critical percolation clusters by means of a recently developed exact enumeration method, which can handle walks of several... 
exact enumeration | self-avoiding walks | percolation clusters | THRESHOLD | SERIES | PHYSICS, MULTIDISCIPLINARY | DISORDERED MEDIA | DILUTED LATTICES | CRITICAL-BEHAVIOR | BACKBONE | PHYSICS, MATHEMATICAL | RANDOM-ENVIRONMENTS
Journal Article
ISSN 0022-4715, 2017
We consider the critical behaviour of the continuous-time weakly self-avoiding walk with contact self-attraction on $\mathbb{Z}$$^{4}$, for sufficiently small... 
renormalisation group | weakly self-avoiding walk | collapse transition
Journal Article
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