학술논문

Maximum of the integer-valued Gaussian free field
Document Type
Working Paper
Author
Source
Subject
Mathematics - Probability
82B20, 82B41
Language
Abstract
We investigate the order of the maximum of the integer-valued Gaussian free field in two dimensions, and show that it grows logarithmically with the size of the box. Our treatment follows closely that of a recent paper by Kharash and Peled on the Fr\"{o}hlich-Spencer proof of the Berezinskii-Kosterlitz-Thouless transition.
Comment: 33 pages