Geodesic
A Lower Bound for the End-to-End Distance of the Self-Avoiding Walk
Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 113-118

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DOI

For an $N$ -step self-avoiding walk on the hypercubic lattice ${{Z}^{d}}$ , we prove that the meansquare end-to-end distance is at least ${{N}^{4/(3d)}}$ times a constant. This implies that the associated critical exponent $v$ is at least $2/(3d)$ , assuming that $v$ exists.
DOI : 10.4153/CMB-2012-022-6
Mots-clés : 82B41, 60D05, 60K35, self-avoiding walk, critical exponent 
Madras, Neal. A Lower Bound for the End-to-End Distance of the Self-Avoiding Walk. Canadian mathematical bulletin, Tome 57 (2014) no. 1, pp. 113-118. doi: 10.4153/CMB-2012-022-6
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