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- Eriksson, Kimmo, et al.
(författare)
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Limiting shapes of birth-and-death processes on Young diagrams
- 2012
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Ingår i: Advances in Applied Mathematics. - : Elsevier BV. - 0196-8858 .- 1090-2074. ; 48:4, s. 575-602
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Tidskriftsartikel (refereegranskat)abstract
- 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.
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