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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
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
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
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
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
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 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
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, 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
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 04/2015, Volume 48, Issue 16, pp. 16 - 8
Self-avoiding walks (SAWs) are a simple and well-known model of long, flexible polymers in a good solvent. Polymers being pulled away from a surface by an... 
Self-avoiding walks | phase transition | polymers | DIMENSIONS | MACROMOLECULES | PHYSICS, MULTIDISCIPLINARY | self-avoiding walks | SURFACE | PHYSICS, MATHEMATICAL | Solvents | Phases | Half spaces | Mathematical analysis | Mathematical models | Polymers | Saws | Free energy
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
Journal of Bioinformatics and Computational Biology, ISSN 0219-7200, 08/2015, Volume 13, Issue 4, pp. 155000 - 1-155000-36
Self-avoiding walks (SAWs) are the source of very difficult problems in probability and enumerative combinatorics. They are of great interest as, for example,... 
discrete structures | protein folding | Protein structure prediction | combinatorics algorithms | self-avoiding walks | problem complexity | SQUARE LATTICE | ALGORITHM | MATHEMATICAL & COMPUTATIONAL BIOLOGY | MODEL
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 12/2015, Volume 49, Issue 1, p. 15004
We study terminally attached self-avoiding walks (SAWs) and bridges on the simple cubic lattice, both by series analysis and Monte Carlo methods. We provide... 
pivot algorithm | critical exponents | self-avoiding walk | Monte Carlo | universal amplitude ratio | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Bridges (structures) | Monte Carlo methods | Cubic lattice | Amplitudes | Mathematical models | Saws | Three dimensional
Journal Article
Journal of Mathematical Chemistry, ISSN 0259-9791, 1/2014, Volume 52, Issue 1, pp. 355 - 367
Journal Article
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