Spatial Fleming-Viot models with selection and mutation:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2014
|
| Series: | Lecture notes in mathematics
2092 |
| Subjects: | |
| Online Access: | Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XVII, 856 S.) 235 mm x 155 mm |
| ISBN: | 3319021524 9783319021539 |
| DOI: | 10.1007/978-3-319-02153-9 |
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Record in the Search Index
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|---|---|
| adam_text | SPATIAL FLEMING-VIOT MODELS WITH SELECTION AND MUTATION
/ DAWSON, DONALD A.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
EMERGENCE AND FIXATION IN THE F-W MODEL WITH TWO TYPES
FORMULATION OF THE MULTITYPE AND MULTISCALE MODEL
FORMULATION OF THE MAIN RESULTS IN THE GENERAL CASE
A BASIC TOOL: DUAL REPRESENTATIONS
LONG-TIME BEHAVIOUR: ERGODICITY AND NON-ERGODICITY
MEAN-FIELD EMERGENCE AND FIXATION OF RARE MUTANTS (PHASE 1,2)
METHODS AND PROOFS FOR THE F-W MODEL WITH TWO TYPES
EMERGENCE, FIXATION WITH M ≥ 2 LOWER ORDER TYPES
EMERGENCE, FIXATION: THE GENERAL (M, M)-TYPE MEAN-FIELD MODEL
NEUTRAL EVOLUTION ON E1 AFTER FIXATION (PHASE 3)
RE-EQUILIBRATION ON HIGHER LEVEL E1 (PHASE 4)
ITERATION OF THE CYCLE I: EMERGENCE AND FIXATION ON E2
ITERATION OF THE CYCLE – THE GENERAL MULTILEVEL HIERARCHY
WINDING-UP: PROOFS OF THE THEOREMS 3-11
APPENDIX 1 – TIGHTNESS
APPENDIX 2. NONLINEAR SEMIGROUP PERTURBATIONS
REFERENCES
INDEX OF NOTATION AND TABLES OF BASIC OBJECTS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SPATIAL FLEMING-VIOT MODELS WITH SELECTION AND MUTATION
/ DAWSON, DONALD A.
: 2014
ABSTRACT / INHALTSTEXT
THIS BOOK CONSTRUCTS A RIGOROUS FRAMEWORK FOR ANALYSING SELECTED
PHENOMENA IN EVOLUTIONARY THEORY OF POPULATIONS ARISING DUE TO THE
COMBINED EFFECTS OF MIGRATION, SELECTION AND MUTATION IN A SPATIAL
STOCHASTIC POPULATION MODEL, NAMELY THE EVOLUTION TOWARDS FITTER AND
FITTER TYPES THROUGH PUNCTUATED EQUILIBRIA. THE DISCUSSION IS BASED ON A
NUMBER OF NEW METHODS, IN PARTICULAR MULTIPLE SCALE ANALYSIS, NONLINEAR
MARKOV PROCESSES AND THEIR ENTRANCE LAWS, ATOMIC MEASURE-VALUED
EVOLUTIONS AND NEW FORMS OF DUALITY (FOR STATE-DEPENDENT MUTATION AND
MULTITYPE SELECTION) WHICH ARE USED TO PROVE ERGODIC THEOREMS IN THIS
CONTEXT AND ARE APPLICABLE FOR MANY OTHER QUESTIONS AND RENORMALIZATION
ANALYSIS FOR A VARIETY OF PHENOMENA (STASIS, PUNCTUATED EQUILIBRIUM,
FAILURE OF NAIVE BRANCHING APPROXIMATIONS, BIODIVERSITY) WHICH OCCUR DUE
TO THE COMBINATION OF RARE MUTATION, MUTATION, RESAMPLING, MIGRATION AND
SELECTION AND MAKE IT NECESSARY TO MATHEMATICALLY BRIDGE THE GAP (IN THE
LIMIT) BETWEEN TIME AND SPACE SCALES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Dawson, Donald Andrew 1937- Greven, Andreas 1953- |
| author_GND | (DE-588)172038677 (DE-588)110413733 |
| author_facet | Dawson, Donald Andrew 1937- Greven, Andreas 1953- |
| author_role | aut aut |
| author_sort | Dawson, Donald Andrew 1937- |
| author_variant | d a d da dad a g ag |
| building | Verbundindex |
| bvnumber | BV041656760 |
| classification_rvk | SI 850 |
| classification_tum | BIO 110f BIO 134f MAT 607f MAT 000 |
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Biologie Informatik Mathematik |
| doi_str_mv | 10.1007/978-3-319-02153-9 |
| format | Electronic eBook |
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| isbn | 3319021524 9783319021539 |
| language | English |
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| spelling | Dawson, Donald Andrew 1937- Verfasser (DE-588)172038677 aut Spatial Fleming-Viot models with selection and mutation Donald A. Dawson ; Andreas Greven Cham [u.a.] Springer 2014 1 Online-Ressource (XVII, 856 S.) 235 mm x 155 mm txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2092 Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Bevölkerungsentwicklung (DE-588)4006292-2 gnd rswk-swf Evolutionstheorie (DE-588)4071051-8 gnd rswk-swf Bevölkerungsentwicklung (DE-588)4006292-2 s Evolutionstheorie (DE-588)4071051-8 s Markov-Prozess (DE-588)4134948-9 s DE-604 Greven, Andreas 1953- Verfasser (DE-588)110413733 aut Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-02152-2 Lecture notes in mathematics 2092 (DE-604)BV014303148 2092 https://doi.org/10.1007/978-3-319-02153-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027097248&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027097248&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Dawson, Donald Andrew 1937- Greven, Andreas 1953- Spatial Fleming-Viot models with selection and mutation Lecture notes in mathematics Markov-Prozess (DE-588)4134948-9 gnd Bevölkerungsentwicklung (DE-588)4006292-2 gnd Evolutionstheorie (DE-588)4071051-8 gnd |
| subject_GND | (DE-588)4134948-9 (DE-588)4006292-2 (DE-588)4071051-8 |
| title | Spatial Fleming-Viot models with selection and mutation |
| title_auth | Spatial Fleming-Viot models with selection and mutation |
| title_exact_search | Spatial Fleming-Viot models with selection and mutation |
| title_full | Spatial Fleming-Viot models with selection and mutation Donald A. Dawson ; Andreas Greven |
| title_fullStr | Spatial Fleming-Viot models with selection and mutation Donald A. Dawson ; Andreas Greven |
| title_full_unstemmed | Spatial Fleming-Viot models with selection and mutation Donald A. Dawson ; Andreas Greven |
| title_short | Spatial Fleming-Viot models with selection and mutation |
| title_sort | spatial fleming viot models with selection and mutation |
| topic | Markov-Prozess (DE-588)4134948-9 gnd Bevölkerungsentwicklung (DE-588)4006292-2 gnd Evolutionstheorie (DE-588)4071051-8 gnd |
| topic_facet | Markov-Prozess Bevölkerungsentwicklung Evolutionstheorie |
| url | https://doi.org/10.1007/978-3-319-02153-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027097248&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027097248&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014303148 |
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