Workshop on branching processes and their applications
Author(s)
Bibliographic Information
Workshop on branching processes and their applications
（Lecture notes in statistics, 197 . Proceedings）
Springer, c2010
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Other editors: Manuel Molina, Inés M. del Puerto, Manuel Mota, Rodrigo Martínez, Alfonso Ramos
Includes bibliographical references and index
Description and Table of Contents
Description
One of the charms of mathematics is the contrast between its generality and its applicability to concrete, even everyday, problems. Branching processes are typical in this. Their niche of mathematics is the abstract pattern of reproduction, sets of individuals changing size and composition through their members reproducing; in other words, what Plato might have called the pure idea behind demography, population biology, cell kinetics, molecular replication, or nuclear ?ssion, had he known these scienti?c ?elds. Even in the performance of algorithms for sorting and classi?cation there is an inkling of the same pattern. In special cases, general properties of the abstract ideal then interact with the physical or biological or whatever properties at hand. But the population, or bran- ing, pattern is strong; it tends to dominate, and here lies the reason for the extreme usefulness of branching processes in diverse applications. Branching is a clean and beautiful mathematical pattern, with an intellectually challenging intrinsic structure, and it pervades the phenomena it underlies.
Table of Contents
Part I Population Growth Models in Random and Varying Environments.- Part II Special Branching Processes.- Part III Limit Theorems and Statistics.- Part IV Applications in Cell Kinetics and Genetics.- Part V Applications in Epidemiology.- Part VI Two-sex Branching Models.
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