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Limiting shapes of birth-and-death processes on young diagrams
School of Education, Culture and Communication, Mälardalen University.
School of Education, Culture and Communication, Mälardalen University.
2012 (English)In: Advances in Applied Mathematics, ISSN 0196-8858, E-ISSN 1090-2074, Vol. 48, 575-602 p.Article in journal (Other academic) Published
Abstract [en]

We consider a family of birth processes and birth-and-death processes on Youngdiagrams of integer partitions of n. This family incorporates three famous modelsfrom very dierent elds: Rost's totally asymmetric particle model (in discretetime), Simon's urban growth model, and Moran's innite alleles model.We study stationary distributions and limit shapes as n tends to innity, andpresent a number of results and conjectures.Key words: birth process, birth-and-death process, limit shape, Youngdiagram, random growth model2000 MSC: 05A17, 60G50

Place, publisher, year, edition, pages
2012. Vol. 48, 575-602 p.
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Natural Sciences Mathematics
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URN: urn:nbn:se:su:diva-82902OAI: oai:DiVA.org:su-82902DiVA: diva2:573027
Available from: 2013-01-18 Created: 2012-11-29 Last updated: 2017-12-07Bibliographically approved

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