Critical branching Brownian motion with absorption: survival probability
We consider branching Brownian motion on the real line with absorption at zero, in which particles move according to independent Brownian motions with the critical drift of {Mathematical expression}. Kesten (Stoch Process 7:9-47, 1978) showed that almost surely this process eventually dies out. Here...
| 主要な著者: | , , |
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| フォーマット: | Journal article |
| 言語: | English |
| 出版事項: |
Springer Berlin Heidelberg
2014
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| _version_ | 1826286519599497216 |
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| author | Berestycki, J Berestycki, N Schweinsberg, J |
| author_facet | Berestycki, J Berestycki, N Schweinsberg, J |
| author_sort | Berestycki, J |
| collection | OXFORD |
| description | We consider branching Brownian motion on the real line with absorption at zero, in which particles move according to independent Brownian motions with the critical drift of {Mathematical expression}. Kesten (Stoch Process 7:9-47, 1978) showed that almost surely this process eventually dies out. Here we obtain upper and lower bounds on the probability that the process survives until some large time {Mathematical expression}. These bounds improve upon results of Kesten (Stoch Process 7:9-47, 1978), and partially confirm nonrigorous predictions of Derrida and Simon (EPL 78:60006, 2007). © 2013 Springer-Verlag Berlin Heidelberg. |
| first_indexed | 2024-03-07T01:44:59Z |
| format | Journal article |
| id | oxford-uuid:981c5b5c-3bbd-408c-9690-2a90a060662d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:44:59Z |
| publishDate | 2014 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | oxford-uuid:981c5b5c-3bbd-408c-9690-2a90a060662d2022-03-27T00:04:42ZCritical branching Brownian motion with absorption: survival probabilityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:981c5b5c-3bbd-408c-9690-2a90a060662dEnglishSymplectic Elements at OxfordSpringer Berlin Heidelberg2014Berestycki, JBerestycki, NSchweinsberg, JWe consider branching Brownian motion on the real line with absorption at zero, in which particles move according to independent Brownian motions with the critical drift of {Mathematical expression}. Kesten (Stoch Process 7:9-47, 1978) showed that almost surely this process eventually dies out. Here we obtain upper and lower bounds on the probability that the process survives until some large time {Mathematical expression}. These bounds improve upon results of Kesten (Stoch Process 7:9-47, 1978), and partially confirm nonrigorous predictions of Derrida and Simon (EPL 78:60006, 2007). © 2013 Springer-Verlag Berlin Heidelberg. |
| spellingShingle | Berestycki, J Berestycki, N Schweinsberg, J Critical branching Brownian motion with absorption: survival probability |
| title | Critical branching Brownian motion with absorption: survival probability |
| title_full | Critical branching Brownian motion with absorption: survival probability |
| title_fullStr | Critical branching Brownian motion with absorption: survival probability |
| title_full_unstemmed | Critical branching Brownian motion with absorption: survival probability |
| title_short | Critical branching Brownian motion with absorption: survival probability |
| title_sort | critical branching brownian motion with absorption survival probability |
| work_keys_str_mv | AT berestyckij criticalbranchingbrownianmotionwithabsorptionsurvivalprobability AT berestyckin criticalbranchingbrownianmotionwithabsorptionsurvivalprobability AT schweinsbergj criticalbranchingbrownianmotionwithabsorptionsurvivalprobability |