Self-Avoiding Walk is Sub-Ballistic

Author:

Duminil-Copin Hugo,Hammond Alan

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference25 articles.

1. Alberts T., Duminil-Copin H.: Bridge decomposition of restriction measures. J. Stat. Phys. 140(3), 467–493 (2010)

2. Bauerschmidt, R., Duminil-Copin, H., Goodman, J., Slade, G.: Lectures on self-avoiding walks. In: Ellwood, D., Newman, C., Sidoravicius, V., Werner, W. eds., Lecture notes, in Probability and Statistical Physics in Two and More Dimensions. CMI/AMS – Clay Mathematics Institute Proceedings, Providence, RI: Amer. Math. Soc., 2011

3. Beaton, N., Bousquet-Mélou, M., De Gier, J., Duminil-Copin, H., Guttmann, A.: The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is $${1 + \sqrt{2}}$$ 1 + 2 . http://arxiv.org/abs/1109.0358v3 [math-ph]. 2012

4. Borgs C., Chayes J., King C., Madras N.: Anisotropic self-avoiding walks. J. Math. Phys. 41(3), 1321–1337 (2000)

5. Brydges D.C., Imbrie J.Z., Slade G.: Functional integral representations for self-avoiding walk. Probab. Surv. 6, 34–61 (2009)

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