The segregated lambda-coalescent
<p>We study a natural generalization of the Λ-coalescent to a spatial continuum. We introduce the process, which is known as the Segregated Λ-coalescent, via its connections to the (non-spatial) Λ-coalescent and the Spatial Λ-Fleming-Viot process.</p> <p>The main new results contai...
| 1. autor: | |
|---|---|
| Kolejni autorzy: | |
| Format: | Praca dyplomowa |
| Język: | English |
| Wydane: |
2012
|
| Hasła przedmiotowe: |
| _version_ | 1826310148999610368 |
|---|---|
| author | Freeman, N |
| author2 | Hambly, B |
| author_facet | Hambly, B Freeman, N |
| author_sort | Freeman, N |
| collection | OXFORD |
| description | <p>We study a natural generalization of the Λ-coalescent to a spatial continuum. We introduce the process, which is known as the Segregated Λ-coalescent, via its connections to the (non-spatial) Λ-coalescent and the Spatial Λ-Fleming-Viot process.</p> <p>The main new results contained in this thesis are as follows. The Segregated Λ-coalescent has a non-trivial construction which we present here in terms of stochastic flows. We describe the qualitative behaviour of the Segregated Λ-coalescent and compare it to the behaviour of the Λ-coalescent, showing in particular that the Segregated Λ-coalescent has an extra phase transition which is directly related to the introduction of space. We finish with some results concerning the rate at which the Segregated Λ-coalescent comes down from infinity.</p> |
| first_indexed | 2024-03-07T07:47:47Z |
| format | Thesis |
| id | oxford-uuid:fb162fbf-2fa2-40d7-af84-c6e3744e35c1 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:47:47Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:fb162fbf-2fa2-40d7-af84-c6e3744e35c12023-06-13T12:29:15ZThe segregated lambda-coalescentThesishttp://purl.org/coar/resource_type/c_db06uuid:fb162fbf-2fa2-40d7-af84-c6e3744e35c1Probability theory and stochastic processesEnglishOxford University Research Archive - Valet2012Freeman, NHambly, B<p>We study a natural generalization of the Λ-coalescent to a spatial continuum. We introduce the process, which is known as the Segregated Λ-coalescent, via its connections to the (non-spatial) Λ-coalescent and the Spatial Λ-Fleming-Viot process.</p> <p>The main new results contained in this thesis are as follows. The Segregated Λ-coalescent has a non-trivial construction which we present here in terms of stochastic flows. We describe the qualitative behaviour of the Segregated Λ-coalescent and compare it to the behaviour of the Λ-coalescent, showing in particular that the Segregated Λ-coalescent has an extra phase transition which is directly related to the introduction of space. We finish with some results concerning the rate at which the Segregated Λ-coalescent comes down from infinity.</p> |
| spellingShingle | Probability theory and stochastic processes Freeman, N The segregated lambda-coalescent |
| title | The segregated lambda-coalescent |
| title_full | The segregated lambda-coalescent |
| title_fullStr | The segregated lambda-coalescent |
| title_full_unstemmed | The segregated lambda-coalescent |
| title_short | The segregated lambda-coalescent |
| title_sort | segregated lambda coalescent |
| topic | Probability theory and stochastic processes |
| work_keys_str_mv | AT freemann thesegregatedlambdacoalescent AT freemann segregatedlambdacoalescent |