Self-Avoiding Walk is Sub-Ballistic
We prove that self-avoiding walk on ℤd is sub-ballistic in any dimension d ≥ 2. That is,writing {double pipe}u{double pipe} for the Euclidean norm of u ∈ ℤd, and PSAWn for the uniform measure on self-avoiding walks γ: {0,...,n} → ℤd for which γ0 = 0, we show that,for each v > 0, there exists...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2013
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