Jiwoon Park

collaborators

4 papers

cond-mat.stat-mech2026

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.PR2025

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

Jiwoon Park

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

math.PR2025

A Renormalisation Group Map for Short- and Long-ranged Weakly Coupled $∣ I ¨ ∣^{4}$ 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 $∣ I ¨ ∣^{4}$ model under periodic boundary conditions in dimension $d \g…

math-ph2025

Boundary conditions and the two-point function plateau for the hierarchical $∣ I ¨ ∣^{4}$ 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 $∣ I ¨ ∣^{4}$ model in dimensions $d \geq 4$ , for both free and periodic b…

Universal finite-size scaling in high-dimensional critical phenomena

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

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

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

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

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

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