Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "weakly self-avoiding walk"

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  • Four-Dimensional Weakly Self-avoiding Walk with Contact Self-attraction 

    Bauerschmidt, Roland; Slade, G; Wallace, BC (SpringerJournal of Statistical Physics, 2017-04-01)
    We consider the critical behaviour of the continuous-time weakly self-avoiding walk with contact self-attraction on $\mathbb{Z}$$^{4}$, for sufficiently small attraction. We prove that the susceptibility and correlation ...