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Record Nr. |
UNINA9910463088903321 |
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Autore |
Epstein Charles L |
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Titolo |
Degenerate diffusion operators arising in population biology [[electronic resource] /] / Charles L. Epstein and Rafe Mazzeo |
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Pubbl/distr/stampa |
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Princeton, : Princeton University Press, 2013 |
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ISBN |
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1-4008-4718-4 |
1-299-05145-6 |
1-4008-4610-2 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (321 p.) |
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Collana |
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Annals of mathematics studies ; ; number 185 |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Elliptic operators |
Markov processes |
Population biology - Mathematical models |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part I. Wright-Fisher Geometry and the Maximum Principle -- Chapter 2. Wright-Fisher Geometry -- Chapter 3. Maximum Principles and Uniqueness Theorems -- Part II. Analysis of Model Problems -- Chapter 4. The Model Solution Operators -- Chapter 5. Degenerate Hölder Spaces -- Chapter 6. Hölder Estimates for the 1-dimensional Model Problems -- Chapter 7. Hölder Estimates for Higher Dimensional Corner Models -- Chapter 8. Hölder Estimates for Euclidean Models -- Chapter 9. Hölder Estimates for General Models -- Part III. Analysis of Generalized Kimura Diffusions -- Chapter 10. Existence of Solutions -- Chapter 11. The Resolvent Operator -- Chapter 12. The Semi-group on ℂ°(P) -- Appendix A: Proofs of Estimates for the Degenerate 1-d Model -- Bibliography -- Index |
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Sommario/riassunto |
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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 |
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