On Uniformly Random Discrete Interlacing Systems
2015 (English)Doctoral thesis, comprehensive summary (Other academic)
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 modelsat a cusp point. In addition it contains a characterization of the geometryof the macroscopic behavior of uniformly random discrete interlaced parti-cle systems that, although not complete, shows many new and interestingfeatures.
Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2015. , vii, 56 p.
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-176652ISBN: 978-91-7595-732-6OAI: oai:DiVA.org:kth-176652DiVA: diva2:868196
2015-12-04, Sal D3, Lindstedtsvägen 5, KTH, Stockholm, 13:00 (English)
Ferrari, Patrik, Professor
Johansson, Kurt, Professor
QC 201511102015-11-102015-11-092015-11-10Bibliographically approved
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