BKT transition for $\mathsf{Sine}_β$

Theodoros Assiotis

Source record

Source: arXiv

Published: Oct 9, 2026

arXiv: 2610.13484

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Source 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.

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