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Gaussian Free Field in an Interlacing Particle System with Two Jump Rates
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7598-4521
2013 (English)In: Communications on Pure and Applied Mathematics, ISSN 0010-3640, E-ISSN 1097-0312, Vol. 66, no 4, 600-643 p.Article in journal (Refereed) Published
Abstract [en]

We study the fluctuations of a random surface in a stochastic growth model on a system of interlacing particles placed on a two-dimensional lattice. There are two different types of particles, one with a low jump rate and the other with a high jump rate. In the large time limit, the random surface has a deterministic shape. Due to the different jump rates, the limit shape and the domain on which it is defined are not smooth. The main result is that the fluctuations of the random surface are governed by the Gaussian free field.

Place, publisher, year, edition, pages
2013. Vol. 66, no 4, 600-643 p.
Keyword [en]
Pearcey Process, Random Matrices, External Source, Partitions, Limit, Airy
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-119030DOI: 10.1002/cpa.21419ISI: 000314473400003Scopus ID: 2-s2.0-84873126997OAI: oai:DiVA.org:kth-119030DiVA: diva2:609959
Note

QC 20130308

Available from: 2013-03-08 Created: 2013-03-05 Last updated: 2017-12-06Bibliographically approved

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Duits, Maurice

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