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Titlebook: Branching Processes and Neutral Evolution; Ziad Taïb Book 1992 Springer-Verlag Berlin Heidelberg 1992 Branching process.Evolution Theory.M

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发表于 2025-3-21 16:24:03 | 显示全部楼层 |阅读模式
期刊全称Branching Processes and Neutral Evolution
影响因子2023Ziad Taïb
视频video
学科分类Lecture Notes in Biomathematics
图书封面Titlebook: Branching Processes and Neutral Evolution;  Ziad Taïb Book 1992 Springer-Verlag Berlin Heidelberg 1992 Branching process.Evolution Theory.M
影响因子The Galton-Watson branching process has its roots in the problem of extinction of family names which was given a precise formulation by F. Galton as problem 4001 in the Educational Times (17, 1873). In 1875, an attempt to solve this problem was made by H. W. Watson but as it turned out, his conclusion was incorrect. Half a century later, R. A. Fisher made use of the Galton-Watson process to determine the extinction probability of the progeny of a mutant gene. However, it was J. B. S. Haldane who finally gave the first sketch of the correct conclusion. J. B. S. Haldane also predicted that mathematical genetics might some day develop into a "respectable branch of applied mathematics" (quoted in M. Kimura & T. Ohta, Theoretical Aspects of Population Genetics. Princeton, 1971). Since the time of Fisher and Haldane, the two fields of branching processes and mathematical genetics have attained a high degree of sophistication but in different directions. This monograph is a first attempt to apply the current state of knowledge concerning single-type branching processes to a particular area of mathematical genetics: neutral evolution. The reader is assumed to be familiar with some of the c
Pindex Book 1992
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7.1.2.2.3 Electrical resistivity,induced by the sampling mechanism and the life law. In the present chapter we make some definitions and introduce some notation to be used in the coming chapters as a straightforward tool in the study of retrospective aspects of labelled branching processes. The whole chapter is more or less based o
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Book 1992 a high degree of sophistication but in different directions. This monograph is a first attempt to apply the current state of knowledge concerning single-type branching processes to a particular area of mathematical genetics: neutral evolution. The reader is assumed to be familiar with some of the c
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7.1.1.2.2 Mechanical properties, check its “good behaviour” in the sense of Chapter One. In the remaining sections we describe some aspects of the labelled population that are more conveniently formulated and studied in terms of the label process.
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The Process of Mutant Ancestors,ding chapter. Those functionals are such that the same results are valid under P̃ as under P̃. (see Chapter Five). For that reason it is motivated to call the randomly sampled individual RSI according to the convention of the preceding chapter. Occasionally, the precise limit theorems formulated in terms of the underlying process will be given.
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