Benjamin C. Wallace

activity

20152017

most citedCritical two-point function for long-range

O (n)

models below the upper critical dimension

29 citations · 47 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2017★ 29 cited

Critical two-point function for long-range $O (n)$ models below the upper critical dimension

Martin Lohmann, Gordon Slade, Benjamin C. Wallace

We consider the $n$ -component $∣ φ ∣^{4}$ lattice spin model ( $n \geq 1$ ) and the weakly self-avoiding walk ( $n = 0$ ) on $Z^{d}$ , in dimensions $d = 1, 2, 3$ . We study long-range model…

math-ph2016★ 5 cited

Four-dimensional weakly self-avoiding walk with contact self-attraction

Roland Bauerschmidt, Gordon Slade, Benjamin C. Wallace

We consider the critical behaviour of the continuous-time weakly self-avoiding walk with contact self-attraction on $Z^{4}$ , for sufficiently small attraction. We prove that…

math-ph2015★ 13 cited

Finite-order correlation length for 4-dimensional weakly self-avoiding walk and $∣ φ ∣^{4}$ spins

Roland Bauerschmidt, Gordon Slade, Alexandre Tomberg +1

We study the 4-dimensional $n$ -component $∣ φ ∣^{4}$ spin model for all integers $n \geq 1$ , and the 4-dimensional continuous-time weakly self-avoiding walk which corresponds exactly to…

Critical two-point function for long-range O(n) models below the upper critical dimension

Four-dimensional weakly self-avoiding walk with contact self-attraction

Finite-order correlation length for 4-dimensional weakly self-avoiding walk and ∣φ∣4 spins

Critical two-point function for long-range $O (n)$ models below the upper critical dimension

Finite-order correlation length for 4-dimensional weakly self-avoiding walk and $∣ φ ∣^{4}$ spins