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2014 The Gaussian free field in interlacing particle systems
Jeffrey Kuan
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Electron. J. Probab. 19: 1-31 (2014). DOI: 10.1214/EJP.v19-3732

Abstract

We show that if an interlacing particle system in a two-dimensional lattice is a determinantal point process, and the correlation kernel can be expressed as a double integral with certain technical assumptions, then the moments of the fluctuations of the height function converge to that of the Gaussian free field. In particular, this shows that a previously studied random surface growth model with a reflecting wall has Gaussian free field fluctuations.

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Jeffrey Kuan. "The Gaussian free field in interlacing particle systems." Electron. J. Probab. 19 1 - 31, 2014. https://doi.org/10.1214/EJP.v19-3732

Information

Accepted: 15 August 2014; Published: 2014
First available in Project Euclid: 4 June 2016

zbMATH: 1315.60061
MathSciNet: MR3256872
Digital Object Identifier: 10.1214/EJP.v19-3732

Subjects:
Primary: probability theory

Keywords: determinantal point process , Gaussian free field , interlacing particles

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