On Uniformly Random Discrete Interlacing Systems

Detta är en avhandling från Stockholm : KTH Royal Institute of Technology

Författare: Erik Duse; Kth.; [2015]

Nyckelord: NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

Sammanfattning: 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.

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