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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 model in
Jiwoon Park
The -component weakly coupled model on the lattice () 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 Models in at and Above the Critical Point
Jiwoon Park
In this article, we construct and analyse a renormalisation group (RG) map for the weakly coupled -component model under periodic boundary conditions in dimension $d \ge…