The prolific backbone for supercritical superprocesses
We develop an idea of Evans and O'Connell (1994) [13], Englnder and Pinsky (1999) [10] and Duquesne and Winkel (2007) [4] by giving a pathwise construction of the so-called 'backbone' decomposition for supercritical superprocesses. Our results also complement a related result for crit...
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| Format: | Journal article |
| Sprog: | English |
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2011
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| _version_ | 1826270311954251776 |
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| author | Berestycki, J Kyprianou, A Murillo-Salas, A |
| author_facet | Berestycki, J Kyprianou, A Murillo-Salas, A |
| author_sort | Berestycki, J |
| collection | OXFORD |
| description | We develop an idea of Evans and O'Connell (1994) [13], Englnder and Pinsky (1999) [10] and Duquesne and Winkel (2007) [4] by giving a pathwise construction of the so-called 'backbone' decomposition for supercritical superprocesses. Our results also complement a related result for critical (1+β)-superprocesses given in Etheridge and Williams (2003) [11]. Our approach relies heavily on the use of DynkinKuznetsov N-measures. © 2011 Published by Elsevier B.V. All rights reserved. |
| first_indexed | 2024-03-06T21:38:52Z |
| format | Journal article |
| id | oxford-uuid:473582c9-2517-4a05-96ba-5b563bfc9c14 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:38:52Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:473582c9-2517-4a05-96ba-5b563bfc9c142022-03-26T15:18:42ZThe prolific backbone for supercritical superprocessesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:473582c9-2517-4a05-96ba-5b563bfc9c14EnglishSymplectic Elements at Oxford2011Berestycki, JKyprianou, AMurillo-Salas, AWe develop an idea of Evans and O'Connell (1994) [13], Englnder and Pinsky (1999) [10] and Duquesne and Winkel (2007) [4] by giving a pathwise construction of the so-called 'backbone' decomposition for supercritical superprocesses. Our results also complement a related result for critical (1+β)-superprocesses given in Etheridge and Williams (2003) [11]. Our approach relies heavily on the use of DynkinKuznetsov N-measures. © 2011 Published by Elsevier B.V. All rights reserved. |
| spellingShingle | Berestycki, J Kyprianou, A Murillo-Salas, A The prolific backbone for supercritical superprocesses |
| title | The prolific backbone for supercritical superprocesses |
| title_full | The prolific backbone for supercritical superprocesses |
| title_fullStr | The prolific backbone for supercritical superprocesses |
| title_full_unstemmed | The prolific backbone for supercritical superprocesses |
| title_short | The prolific backbone for supercritical superprocesses |
| title_sort | prolific backbone for supercritical superprocesses |
| work_keys_str_mv | AT berestyckij theprolificbackboneforsupercriticalsuperprocesses AT kyprianoua theprolificbackboneforsupercriticalsuperprocesses AT murillosalasa theprolificbackboneforsupercriticalsuperprocesses AT berestyckij prolificbackboneforsupercriticalsuperprocesses AT kyprianoua prolificbackboneforsupercriticalsuperprocesses AT murillosalasa prolificbackboneforsupercriticalsuperprocesses |