Limiting shapes of birth-and-death processes on Young diagrams
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
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.
Birth process, Birth-and-death process, Limit shape, Young diagram, Random growth model
Discrete Mathematics Probability Theory and Statistics
IdentifiersURN: urn:nbn:se:kth:diva-90759DOI: 10.1016/j.aam.2011.12.001ISI: 000302427700002ScopusID: 2-s2.0-84858078435OAI: oai:DiVA.org:kth-90759DiVA: diva2:506458
FunderSwedish Research Council
QC 201203092012-02-282012-02-282012-05-07Bibliographically approved