Exchangeable fragmentation-coalescence processes and their equilibrium measures
We define and study a family of Markov processes with state space the compact set of all partitions of ℕ that we call exchangeable fragmentation-coalescence processes. They can be viewed as a combination of homogeneous fragmentation as defined by Bertoin and of homogenous coalescence as defined by P...
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| Формат: | Journal article |
| Хэл сонгох: | English |
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2004
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| _version_ | 1826285786047184896 |
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| author | Berestycki, J |
| author_facet | Berestycki, J |
| author_sort | Berestycki, J |
| collection | OXFORD |
| description | We define and study a family of Markov processes with state space the compact set of all partitions of ℕ that we call exchangeable fragmentation-coalescence processes. They can be viewed as a combination of homogeneous fragmentation as defined by Bertoin and of homogenous coalescence as defined by Pitman and Schweinsberg or Möhle and Sagitov. We show that they admit a unique invariant probability measure and we study some properties of their paths and of their equilibrium measure. |
| first_indexed | 2024-03-07T01:34:01Z |
| format | Journal article |
| id | oxford-uuid:948af4f1-75e5-41fa-946e-cc3820ed40af |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:34:01Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:948af4f1-75e5-41fa-946e-cc3820ed40af2022-03-26T23:40:04ZExchangeable fragmentation-coalescence processes and their equilibrium measuresJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:948af4f1-75e5-41fa-946e-cc3820ed40afEnglishSymplectic Elements at Oxford2004Berestycki, JWe define and study a family of Markov processes with state space the compact set of all partitions of ℕ that we call exchangeable fragmentation-coalescence processes. They can be viewed as a combination of homogeneous fragmentation as defined by Bertoin and of homogenous coalescence as defined by Pitman and Schweinsberg or Möhle and Sagitov. We show that they admit a unique invariant probability measure and we study some properties of their paths and of their equilibrium measure. |
| spellingShingle | Berestycki, J Exchangeable fragmentation-coalescence processes and their equilibrium measures |
| title | Exchangeable fragmentation-coalescence processes and their equilibrium measures |
| title_full | Exchangeable fragmentation-coalescence processes and their equilibrium measures |
| title_fullStr | Exchangeable fragmentation-coalescence processes and their equilibrium measures |
| title_full_unstemmed | Exchangeable fragmentation-coalescence processes and their equilibrium measures |
| title_short | Exchangeable fragmentation-coalescence processes and their equilibrium measures |
| title_sort | exchangeable fragmentation coalescence processes and their equilibrium measures |
| work_keys_str_mv | AT berestyckij exchangeablefragmentationcoalescenceprocessesandtheirequilibriummeasures |