On the probability that self-avoiding walk ends at a given point
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Publication:282496
DOI10.1214/14-AOP993zbMath1347.60131arXiv1305.1257OpenAlexW2962992760MaRDI QIDQ282496
Alan Hammond, Hugo Duminil-Copin, Alexander Glazman, Ioan Manolescu
Publication date: 12 May 2016
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.1257
Geometric probability and stochastic geometry (60D05) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (6)
On self-avoiding polygons and walks: the snake method via polygon joining ⋮ Self-Avoiding Walks and Connective Constants ⋮ An upper bound on the number of self-avoiding polygons via joining ⋮ Self-avoiding walk on nonunimodular transitive graphs ⋮ On self-avoiding polygons and walks: The snake method via pattern fluctuation ⋮ On the existence of critical exponents for self-avoiding walks
Cites Work
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- Self-avoiding walk is sub-ballistic
- The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\)
- Connective constant for a weighted self-avoiding walk on \(\mathbb{Z}^2\)
- Functional integral representations for self-avoiding walk
- Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
- Self-avoiding walk in five or more dimensions. I: The critical behaviour
- A rigorous bound on the critical exponent for the number of lattice trees, animals, and polygons.
- The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\)
- Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher
- Critical behaviour of self-avoiding walk in five or more dimensions
- Polygons and the Lace Expansion
- The writhe of a self-avoiding polygon
- A Lower Bound for the End-to-End Distance of the Self-Avoiding Walk
- Lectures on Self-Avoiding Walks
- On the Number of Self-Avoiding Walks
- FURTHER RESULTS ON THE RATE OF CONVERGENCE TO THE CONNECTIVE CONSTANT OF THE HYPERCUBICAL LATTICE
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