Probabilistic models of population evolution (Record no. 559314)
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000 -LEADER | |
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fixed length control field | 01872 a2200253 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240112142040.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 180821b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783319303260 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | IIT Kanpur |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 519.234 |
Item number | P214p |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Pardoux, Etienne |
245 ## - TITLE STATEMENT | |
Title | Probabilistic models of population evolution |
Remainder of title | scaling limits, genealogies and interactions |
Statement of responsibility, etc | Etienne Pardoux |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Switzerland |
Name of publisher | Springer |
Year of publication | 2016 |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | viii,125p |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
Title | Mathematical biosciences institute lecture series; 1.6 [v.1: Stochastics in biological systems] |
490 ## - SERIES STATEMENT | |
Series statement | / edited by Michael Reed and Richard Durrett |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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. Etienne 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 |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Branching processes |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Genealogies |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Probabilistic theory |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | Books |
Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Cost, replacement price | Koha item type |
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General Stacks | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 21/08/2018 | 7 | 2103.18 | 519.234 P214p | A183712 | 2628.97 | Books |