On Uniformly Random Discrete Interlacing Systems

This thesis concerns uniformly random discrete interlacing particle sys-tems and their connections to certain random lozenge tiling models. In par-ticular it contains the first derivation of a relatively unknown universal scalinglimit, which we call the Cusp-Airy process, of certain lozenge tiling m...

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Bibliographic Details
Main Author: Duse, Erik
Format: Doctoral Thesis
Language:English
Published: KTH, Matematik (Avd.) 2015
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-176652
http://nbn-resolving.de/urn:isbn:978-91-7595-732-6