Coverart for item
The Resource Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book)

Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book)

Label
Probabilistic models of population evolution : scaling limits, genealogies and interactions
Title
Probabilistic models of population evolution
Title remainder
scaling limits, genealogies and interactions
Statement of responsibility
Étienne Pardoux
Creator
Author
Subject
Language
eng
Summary
This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications. Étienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1947-
http://library.link/vocab/creatorName
Pardoux, E.
Dewey number
519.2/34
Illustrations
illustrations
Index
index present
LC call number
QA274.76
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Mathematical Biosciences Institute lecture series, Stochastics in biological systems
http://library.link/vocab/subjectName
Branching processes
Label
Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Branching Processes -- Convergence to a Continuous State Branching Process -- Continuous State Branching Process (CSBP) -- Genealogies -- Models of Finite Population with Interaction -- Convergence to a Continuous State Model -- Continuous Model with Interaction -- Appendix
Control code
SPR952465371
Dimensions
unknown
Extent
1 online resource (viii, 125 pages)
File format
unknown
Form of item
online
Isbn
9783319303284
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-30328-4
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Label
Probabilistic models of population evolution : scaling limits, genealogies and interactions, Étienne Pardoux, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Branching Processes -- Convergence to a Continuous State Branching Process -- Continuous State Branching Process (CSBP) -- Genealogies -- Models of Finite Population with Interaction -- Convergence to a Continuous State Model -- Continuous Model with Interaction -- Appendix
Control code
SPR952465371
Dimensions
unknown
Extent
1 online resource (viii, 125 pages)
File format
unknown
Form of item
online
Isbn
9783319303284
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-30328-4
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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