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ocn868899574 |
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OCoLC |
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20250703133339.0 |
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m o d |
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140123t20142014sz ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
GZM |
| Language of cataloging |
eng |
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rda |
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pn |
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GZM |
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1055408967 |
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1204091504 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319021539 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3319021532 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
9783319021522 |
| Qualifying information |
(pbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
3319021524 |
| Qualifying information |
(pbk.) |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-319-02153-9 |
| Source of number or code |
doi |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000053036888 |
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| OCLC library identifier |
AU@ |
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000058347889 |
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AU@ |
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000060382519 |
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NLGGC |
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384132448 |
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NZ1 |
| System control number |
15905629 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
DKDLA |
| System control number |
820120-katalog:999887138305765 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)868899574 |
| Canceled/invalid control number |
(OCoLC)1055408967 |
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(OCoLC)1058935306 |
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(OCoLC)1066479388 |
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(OCoLC)1078530133 |
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(OCoLC)1086469763 |
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(OCoLC)1110158854 |
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(OCoLC)1110751413 |
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(OCoLC)1112587595 |
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(OCoLC)1204091504 |
| 037 ## - SOURCE OF ACQUISITION |
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| Source of stock number/acquisition |
Springer |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA273.A1-274.9 |
| 060 #4 - NATIONAL LIBRARY OF MEDICINE CALL NUMBER |
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| Classification number |
QU 450 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBT |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBWL |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT029000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
519.2 |
| Edition number |
23 |
| -- |
https://id.oclc.org/worldcat/ddc/E3m3d7kt3KQ7KTdh4XVbfC3PKm |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Dawson, Donald A. |
| Fuller form of name |
(Donald Andrew), |
| Dates associated with a name |
1937- |
| Relator term |
author. |
| -- |
https://id.oclc.org/worldcat/entity/E39PBJk8YGbJJ8jjfpfmWkTfv3 |
| 9 (RLIN) |
78266 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Spatial Fleming-Viot models with selection and mutation / |
| Statement of responsibility, etc. |
Donald A. Dawson, Andreas Greven. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Cham [Switzerland] : |
| Name of producer, publisher, distributor, manufacturer |
Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2014] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2014 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xvii, 856 pages) |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| Encoding format |
PDF |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Lecture notes in mathematics, |
| International Standard Serial Number |
1617-9692 ; |
| Volume/sequential designation |
2092 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages 847-851) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
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 [greater than or equal to] 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. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
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. |
| 546 ## - LANGUAGE NOTE |
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| Language note |
English. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Online resource; title from PDF title page (SpringerLink, viewed January 23, 2014). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Population genetics |
| General subdivision |
Mathematical models. |
| 9 (RLIN) |
1509 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Punctuated equilibrium (Evolution) |
| General subdivision |
Mathematical models. |
| 9 (RLIN) |
79019 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Stochastic models. |
| 9 (RLIN) |
22726 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Markov processes. |
| 9 (RLIN) |
4962 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Population genetics. |
| 9 (RLIN) |
1446 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Distribution (Probability theory) |
| 9 (RLIN) |
959 |
| 650 #2 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Genetics, Population |
| 9 (RLIN) |
1447 |
| 650 #2 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Markov Chains |
| 9 (RLIN) |
92418 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Théorie des équilibres ponctués (Évolution) |
| General subdivision |
Modèles mathématiques. |
| 9 (RLIN) |
974161 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Modèles stochastiques. |
| 9 (RLIN) |
358092 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Processus de Markov. |
| 9 (RLIN) |
78421 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Génétique des populations. |
| 9 (RLIN) |
409109 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Distribution (Théorie des probabilités) |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
distribution (statistics-related concept) |
| Source of heading or term |
aat |
| 9 (RLIN) |
966919 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Genética de poblaciones |
| Source of heading or term |
embne |
| 9 (RLIN) |
973626 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Distribución (Teoría de probabilidades) |
| Source of heading or term |
embne |
| 9 (RLIN) |
973654 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Markov, Procesos de |
| Source of heading or term |
embucm |
| 9 (RLIN) |
973528 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Genética de poblaciones-Modelos matemáticos |
| Source of heading or term |
embucm |
| 9 (RLIN) |
1082832 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Population genetics |
| Source of heading or term |
fast |
| 9 (RLIN) |
1446 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Markov processes |
| Source of heading or term |
fast |
| 9 (RLIN) |
4962 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Population genetics |
| General subdivision |
Mathematical models |
| Source of heading or term |
fast |
| 9 (RLIN) |
1509 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Stochastic models |
| Source of heading or term |
fast |
| 9 (RLIN) |
22726 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Greven, Andreas, |
| Dates associated with a name |
1953- |
| Relator term |
author. |
| -- |
https://id.oclc.org/worldcat/entity/E39PBJbRqfyGH9yrMWgbmFdhHC |
| 9 (RLIN) |
79020 |
| 758 ## - |
|---|
| -- |
has work: |
| -- |
Spatial Fleming-Viot models with selection and mutation (Text) |
| -- |
https://id.oclc.org/worldcat/entity/E39PCGfwqyBRqTXVgRq9DhHP8K |
| -- |
https://id.oclc.org/worldcat/ontology/hasWork |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| Main entry heading |
Dawson, Donald A. (Donald Andrew), 1937- |
| Title |
Spatial Fleming-Viot models with selection and mutation. |
| Place, publisher, and date of publication |
Cham [Switzerland] : Springer, [2014] |
| International Standard Book Number |
9783319021522 |
| Record control number |
(OCoLC)868017479 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume number/sequential designation |
2092. |
| International Standard Serial Number |
0075-8434 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-319-02153-9">https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-319-02153-9</a> |
| 938 ## - |
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Askews and Holts Library Services |
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ASKH |
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AH29494455 |
| 938 ## - |
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ProQuest Ebook Central |
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EBLB |
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EBL3107052 |
| 938 ## - |
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YBP Library Services |
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YANK |
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11561156 |
| 994 ## - |
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92 |
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ATIST |