Degenerate diffusion operators arising in population biology /

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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 uniq...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Epstein, Charles L.
Otros Autores: Mazzeo, Rafe
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2013.
Colección:Annals of mathematics studies ; number 185
Temas:
Elliptic operators.
Markov processes.
Population biology > Mathematical models.
Biowissenschaften, Biologie.
Opérateurs elliptiques.
Processus de Markov.
Biologie des populations > Modèles mathématiques.
NATURE > Ecology.
NATURE > Ecosystems & Habitats > Wilderness.
SCIENCE > Environmental Science.
SCIENCE > Life Sciences > Ecology.
MATHEMATICS > Differential Equations > General.
Elliptic operators
Markov processes
Population biology > Mathematical models
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource.
Bibliografía:Includes bibliographical references and index.
ISBN:9781400846108
1400846102

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