Jiwoon Park

activity

20242026

most citedUniversal finite-size scaling in high-dimensional critical phenomena

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.PR2026

Two dimensional Villain model in the BKT phase

Jiwoon Park, Wei Wu

We establish sharp two-point function asymptotics for the two dimensional Villain model at sufficiently low temperatures, confirming a central prediction in the Berezinskii-Kosterl…

math.PR2025

Torus scaling limits and the plateau of the critical weakly coupled $∣ φ ∣^{4}$ model in $d \geq 4$

Jiwoon Park

The $n$ -component weakly coupled $∣ φ ∣^{4}$ model on the $Z^{d}$ lattice ( $d \geq 4$ ) exhibits a critical two-point correlation function with an exact polynomial decay in infinite volume…

math.PR2025

A Renormalisation Group Map for Short- and Long-ranged Weakly Coupled $∣ φ ∣^{4}$ Models in $d \geq 4$ at and Above the Critical Point

Jiwoon Park

In this article, we construct and analyse a renormalisation group (RG) map for the weakly coupled $n$ -component $∣ φ ∣^{4}$ model under periodic boundary conditions in dimension $d \ge…

cond-mat.stat-mech2024★ 1 cited

Universal finite-size scaling in high-dimensional critical phenomena

Yucheng Liu, Jiwoon Park, Gordon Slade

We present a new unified theory of critical finite-size scaling for lattice statistical mechanical models with periodic boundary conditions above the upper critical dimension. Our…

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…

Two dimensional Villain model in the BKT phase

Torus scaling limits and the plateau of the critical weakly coupled ∣φ∣4 model in d≥4

A Renormalisation Group Map for Short- and Long-ranged Weakly Coupled ∣φ∣4 Models in d≥4 at and Above the Critical Point

Universal finite-size scaling in high-dimensional critical phenomena

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

Torus scaling limits and the plateau of the critical weakly coupled $∣ φ ∣^{4}$ model in $d \geq 4$

A Renormalisation Group Map for Short- and Long-ranged Weakly Coupled $∣ φ ∣^{4}$ Models in $d \geq 4$ at and Above the Critical Point

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