Gaussian Free Field in an Interlacing Particle System with Two Jump Rates
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
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.
Pearcey Process, Random Matrices, External Source, Partitions, Limit, Airy
IdentifiersURN: urn:nbn:se:kth:diva-119030DOI: 10.1002/cpa.21419ISI: 000314473400003ScopusID: 2-s2.0-84873126997OAI: oai:DiVA.org:kth-119030DiVA: diva2:609959
QC 201303082013-03-082013-03-052013-03-08Bibliographically approved