Journal article
Diffusions on a space of interval partitions: construction from Bertoin’s BES0(d), d ∈ (0, 1)
- Abstract:
- In 1990, Bertoin constructed a measure-valued Markov process in the framework of a Bessel process of dimension between 0 and 1. In the present paper, we represent this process in a space of interval partitions. We show that this is a member of a class of interval partition diffusions introduced recently and independently by Forman, Pal, Rizzolo and Winkel using a completely different construction from spectrally positive stable L\'evy processes with index between 1 and 2 and with jumps marked by squared Bessel excursions of a corresponding dimension between $-2$ and 0.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 492.0KB, Terms of use)
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- Publisher copy:
- 10.1214/20-ECP355
Authors
- Publisher:
- Institute of Mathematical Statistics
- Journal:
- Electronic Communications in Probability More from this journal
- Volume:
- 25
- Pages:
- 1-13
- Article number:
- 75
- Publication date:
- 2020-10-23
- Acceptance date:
- 2020-10-09
- DOI:
- EISSN:
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1083-589X
- Language:
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English
- Keywords:
- Pubs id:
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1113652
- Local pid:
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pubs:1113652
- Deposit date:
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2020-10-09
Terms of use
- Copyright holder:
- Winkel.
- Copyright date:
- 2020
- Rights statement:
- © The Author(s) 2020. Creative Commons Attribution 4.0 International License.
- Licence:
- CC Attribution (CC BY)
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