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Lozenge Tilings of Hexagons with Cuts and Asymptotic Fluctuations: a New Universality Class
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-2943-7006
2018 (English)In: Mathematical physics, analysis and geometry, ISSN 1385-0172, E-ISSN 1572-9656, Vol. 21, no 1, article id 9Article in journal (Refereed) Published
Abstract [en]

This paper investigates lozenge tilings of non-convex hexagonal regions and more specifically the asymptotic fluctuations of the tilings within and near the strip formed by opposite cuts in the regions, when the size of the regions tend to infinity, together with the cuts. It leads to a new kernel, which is expected to have universality properties.

Place, publisher, year, edition, pages
Springer, 2018. Vol. 21, no 1, article id 9
Keywords [en]
Lozenge tilings, Non-convex polygons, Kernels, Asymptotics
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-225184DOI: 10.1007/s11040-018-9265-5ISI: 000427320600001Scopus ID: 2-s2.0-85044122779OAI: oai:DiVA.org:kth-225184DiVA, id: diva2:1195059
Funder
Swedish Research CouncilKnut and Alice Wallenberg Foundation, KAW 2010.0063
Note

QC 20180404

Available from: 2018-04-04 Created: 2018-04-04 Last updated: 2018-04-04Bibliographically approved

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Johansson, Kurt

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