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Degenerate diffusion operators arising in population biology /
This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniq...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2013.
|
| Colección: | Annals of mathematics studies ;
number 185 |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
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| 100 | 1 | |a Epstein, Charles L. | |
| 245 | 1 | 0 | |a Degenerate diffusion operators arising in population biology / |c Charles L. Epstein and Rafe Mazzeo. |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c 2013. | |
| 300 | |a 1 online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Annals of mathematics studies ; |v number 185 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The results discussed in this book prove the uniqueness of the solution to the Martingale problem and therefore the existence of the associated Markov process. Charles Epstein and Rafe Mazzeo use an ""integral kernel method"" to develop mathematical foundations for the study of such degenerate elliptic operators and the stochastic proces. | ||
| 546 | |a In English. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Chapter 1. Introduction -- |t Chapter 2. Wright-Fisher Geometry -- |t Chapter 3. Maximum Principles and Uniqueness Theorems -- |t Chapter 4. The Model Solution Operators -- |t Chapter 5. Degenerate Hölder Spaces -- |t Chapter 6. Hölder Estimates for the 1-dimensional Model Problems -- |t Chapter 7. Hölder Estimates for Higher Dimensional Corner Models -- |t Chapter 8. Hölder Estimates for Euclidean Models -- |t Chapter 9. Hölder Estimates for General Models -- |t Chapter 10. Existence of Solutions -- |t Chapter 11. The Resolvent Operator -- |t Chapter 12. The Semi-group on ℂ°(P) -- |t Appendix A: Proofs of Estimates for the Degenerate 1-d Model -- |t Bibliography -- |t Index. |
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Elliptic operators. | |
| 650 | 0 | |a Markov processes. | |
| 650 | 0 | |a Population biology |x Mathematical models. | |
| 650 | 4 | |a Biowissenschaften, Biologie. | |
| 650 | 6 | |a Opérateurs elliptiques. | |
| 650 | 6 | |a Processus de Markov. | |
| 650 | 6 | |a Biologie des populations |x Modèles mathématiques. | |
| 650 | 7 | |a NATURE |x Ecology. |2 bisacsh | |
| 650 | 7 | |a NATURE |x Ecosystems & Habitats |x Wilderness. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Environmental Science. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Life Sciences |x Ecology. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Elliptic operators |2 fast | |
| 650 | 7 | |a Markov processes |2 fast | |
| 650 | 7 | |a Population biology |x Mathematical models |2 fast | |
| 700 | 1 | |a Mazzeo, Rafe. | |
| 758 | |i has work: |a Degenerate diffusion operators arising in population biology (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGdxyDxV6MHYWJ8KBKgJwy |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9780691157122 |z 069115712X |w (DLC) 2012022328 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1108463 |z Texto completo |
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