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Limiting shapes of birth-and-death processes on Young diagrams
Mälardalen University, School of Education, Culture and Communication.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2012 (English)In: Advances in Applied Mathematics, ISSN 0196-8858, E-ISSN 1090-2074, Vol. 48, no 4, 575-602 p.Article in journal (Refereed) Published
Abstract [en]

We consider a family of birth processes and birth-and-death processes on Young diagrams of integer partitions of n. This family incorporates three famous models from very different fields: Rost's totally asymmetric particle model (in discrete time), Simon's urban growth model, and Moran's infinite alleles model. We study stationary distributions and limit shapes as n tends to infinity, and present a number of results and conjectures.

Place, publisher, year, edition, pages
2012. Vol. 48, no 4, 575-602 p.
Keyword [en]
Birth process, Birth-and-death process, Limit shape, Young diagram, Random growth model
National Category
Discrete Mathematics Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:kth:diva-90759DOI: 10.1016/j.aam.2011.12.001ISI: 000302427700002Scopus ID: 2-s2.0-84858078435OAI: oai:DiVA.org:kth-90759DiVA: diva2:506458
Funder
Swedish Research Council
Note
QC 20120309Available from: 2012-02-28 Created: 2012-02-28 Last updated: 2017-12-07Bibliographically approved

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