Critical population and error threshold on the sharp peak landscape for a Moran model /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cerf, Raphaël (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2014.
Colección:Memoirs of the American Mathematical Society ; Volume 233, no. 1096 (second of 6 numbers)
Temas:
Molecular dynamics > Mathematical models.
Macromolecules > Mathematical models.
Chromosome replication > Mathematical models.
Dynamique moléculaire > Modèles mathématiques.
Chromosomes > Réplication > Modèles mathématiques.
Macromolecules > Mathematical models
Molecular dynamics > Mathematical models
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Title page
  • Chapter 1. Introduction
  • Chapter 2. The Model
  • Chapter 3. Main Results
  • Chapter 4. Coupling
  • Chapter 5. Normalized Model
  • Chapter 6. Lumping
  • 6.1. Distance process
  • 6.2. Occupancy process
  • 6.3. Invariant probability measures
  • Chapter 7. Monotonicity
  • 7.1. Coupling of the lumped processes
  • 7.2. Monotonicity of the model
  • Chapter 8. Stochastic Bounds
  • 8.1. Lower and upper processes
  • 8.2. Dynamics of the bounding processes
  • 8.3. A renewal argument
  • 8.4. Bounds on
  • Chapter 9. Birth and Death Processes9.1. General formulas
  • 9.2. The case of (^{ }_{ })_{ â?Æ0}
  • 9.3. Persistence time
  • 9.4. Invariant probability measure
  • Chapter 10. The Neutral Phase
  • 10.1. Ancestral lines
  • 10.2. Mutation dynamics
  • 10.3. Falling to equilibrium from the left
  • 10.4. Falling to equilibrium from the right
  • 10.5. Discovery time
  • Chapter 11. Synthesis
  • Appendix A. Appendix on Markov Chains
  • Bibliography
  • Index
  • Back Cover

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