Journal article
Two-sided immigration, emigration and symmetry properties of self-similar interval partition evolutions
- Abstract:
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Forman et al. (2020+) constructed (α, θ)-interval partition evolutions for α ∈ (0, 1) and θ ≥ 0, in which the total sums of interval lengths (total mass) evolve as squared Bessel processes of dimension 2θ, where θ ≥ 0 acts as an immigration parameter. These evolutions have pseudostationary distributions related to regenerative PoissonDirichlet interval partitions. In this paper we study symmetry properties of (α, θ)-interval partition evolutions. Furthermore, we introduce a three-parameter...
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- Publication status:
- Accepted
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 708.3KB, Terms of use)
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- Publisher copy:
- 10.30757/ALEA.v20-25
Authors
Bibliographic Details
- Publisher:
- Instituto Nacional de Matemática Pura e Aplicada
- Journal:
- ALEA : Latin American Journal of Probability and Mathematical Statistics More from this journal
- Volume:
- 20
- Pages:
- 665-696
- Publication date:
- 2023-05-07
- Acceptance date:
- 2023-03-10
- DOI:
- ISSN:
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1980-0436
Item Description
- Language:
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English
- Keywords:
- Pubs id:
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1148801
- Local pid:
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pubs:1148801
- Deposit date:
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2023-04-02
Terms of use
- Copyright date:
- 2023
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Latin American Journal of Probability and Mathematical Statistics at: https://doi.org/10.30757/ALEA.v20-25
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