Gordon Slade

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20232026

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math-ph2024

The torus plateau for the high-dimensional Ising model

Yucheng Liu, Romain Panis, Gordon Slade

We consider the Ising model on a $d$ -dimensional discrete torus of volume $r^{d}$ , in dimensions $d > 4$ and for large $r$ , in the vicinity of the infinite-volume critical point $β_{c}$ .…

math-ph2024

Boundary conditions and the two-point function plateau for the hierarchical $∣ φ ∣^{4}$ model in dimensions 4 and higher

Jiwoon Park, Gordon Slade

We obtain precise plateau estimates for the two-point function of the finite-volume weakly-coupled hierarchical $∣ φ ∣^{4}$ model in dimensions $d \geq 4$ , for both free and periodic bo…

The torus plateau for the high-dimensional Ising model

Boundary conditions and the two-point function plateau for the hierarchical ∣φ∣4 model in dimensions 4 and higher

Boundary conditions and the two-point function plateau for the hierarchical $∣ φ ∣^{4}$ model in dimensions 4 and higher