Self-Avoiding Walk is Sub-Ballistic
Abstract
We prove that self-avoiding walk on is sub-ballistic in any dimension d ≥ 2. That is, writing for the Euclidean norm of , and for the uniform measure on self-avoiding walks for which γ 0 = 0, we show that, for each v > 0, there exists such that, for each.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- December 2013
- DOI:
- 10.1007/s00220-013-1811-1
- arXiv:
- arXiv:1205.0401
- Bibcode:
- 2013CMaPh.324..401D
- Keywords:
-
- Mathematics - Probability;
- Mathematical Physics;
- Mathematics - Combinatorics
- E-Print:
- 27 pages and four figures