The Cusp-Airy Process
(English)Manuscript (preprint) (Other academic)
At a typical cusp point of the disordered region in a random tiling model we expect to see a determinantal process called the Pearcey process in the appropriate scaling limit. However, in certain situations another limiting point process appears that we call the Cusp-Airy process, which is a kind of two sided extension of the Airy kernel point process. We will study this problem in a class of random lozenge tiling models coming from interlacing particle systems. The situation was briefly studied previously by Okounkov and Reshetikhin under the name cuspidal turning point.
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-176650OAI: oai:DiVA.org:kth-176650DiVA: diva2:868187
FunderKnut and Alice Wallenberg Foundation, 2010.0063
QC 201511102015-11-092015-11-092015-11-10Bibliographically approved