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Self-avoiding walk
Known as:
Self-avoiding polygon
, Saw (disambiguation)
, Self avoiding walk
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In mathematics, a self-avoiding walk (SAW) is a sequence of moves on a lattice (a lattice path) that does not visit the same point more than once…
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Related topics
Related topics
13 relations
Broader (1)
Computational chemistry
Computational physics
Erdős–Rényi model
Fractal
Fractal dimension
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Scale-free Monte Carlo method for calculating the critical exponent γ of self-avoiding walks
N. Clisby
2017
Corpus ID: 119579603
We implement a scale-free version of the pivot algorithm and use it to sample pairs of three-dimensional self-avoiding walks, for…
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Review
2010
Review
2010
The Self-avoiding Walk Spanning a Strip
B. Dyhr
,
M. Gilbert
,
T. Kennedy
,
G. Lawler
,
Shane Passon
2010
Corpus ID: 118168744
We review the existence of the infinite length self-avoiding walk in the half plane and its relationship to bridges. We prove…
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2008
2008
Prudent Self-Avoiding Walks
John C. Dethridge
,
A. Guttmann
Entropy
2008
Corpus ID: 16851885
We have produced extended series for prudent self-avoiding walks on the square lattice. These are subsets of self-avoiding walks…
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Highly Cited
2007
Highly Cited
2007
Self-avoiding walk enumeration via the lace expansion
N. Clisby
,
Richard H. Liang
,
G. Slade
2007
Corpus ID: 15810733
We introduce a new method for the enumeration of self-avoiding walks based on the lace expansion. We also introduce an…
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Highly Cited
2007
Highly Cited
2007
Enlarged symmetry algebras of spin chains, loop models, and S-matrices
N. Read
,
H. Saleur
2007
Corpus ID: 119152756
2005
2005
Self-Avoiding Walks on Hyperbolic Graphs
N. Madras
,
C. C. Wu
Combinatorics, probability & computing
2005
Corpus ID: 25252898
We study self-avoiding walks (SAWs) on non-Euclidean lattices that correspond to regular tilings of the hyperbolic plane…
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1984
1984
On two-dimensional self-avoiding random walks
A. Guttmann
1984
Corpus ID: 51823698
Following Nienhuis' (1982) exact evaluation of the connective constant of the honeycomb lattice self-avoiding walk model, and the…
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1983
1983
Spiral self-avoiding walks
V. Privman
1983
Corpus ID: 123404790
Self-avoiding walks with a 'spiral' constraint, on the square lattice, are enumerated up to 40 steps. Numerical evidence suggests…
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Highly Cited
1983
Highly Cited
1983
Critical properties of directed self-avoiding walks
S. Redner
,
I. Majid
1983
Corpus ID: 122320850
The generating functions and mean displacements of various two-dimensional directed self-avoiding walk models are calculated…
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Highly Cited
1981
Highly Cited
1981
Phenomenological renormalisation of the self avoiding walk in two dimensions
B. Derrida
1981
Corpus ID: 122342693
Phenomenological renormalisation is used to calculate the exponent v and the connective constant of the self-avoiding walk…
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