Work

BKT transition for $\mathsf{Sine}_β$

Year: 2026
Type: preprint
Abstract: We prove the Berezinskii-Kosterlitz-Thouless (BKT) phase transition in the large-distance behaviour of the two-point correlation function of the $\mathsf{Sine}_β$ point process for all $β>0$, confirming the first term of an asymptotic expansion predicted by Forrester.
Language: English
Open Access status: green
OpenAlex ID: W7221576690
Cites: 13
Cited by: 1
Related to: 10