Workshop on Branching Processes and Their Applications

Beschreibung

This volume contains papers presented at the Workshop on Branching Processes and Their Applications (WBPA09). These papers deal with theoretical and practical aspects of branching process theory, showing it to be an area of active and interesting research. They clearly indicate the vitality of the theoretical research on this topic, as well as the importance of branching concepts in the development of theoretical approaches to solving new problems in applied fields such as Epidemiology, Cell Kinetics, Genetics, and, of course, Population Dynamics. The topics covered by the papers have been classified into the following areas:Population Growth Models in Random and Varying EnvironmentsSpecial Branching ProcessesLimit Theorems and StatisticsApplications in Cell Kinetics and GeneticsApplications in EpidemiologyTwo-Sex Branching ModelsThis book represents a valuable reference on the contemporary branching processes theory, presenting also many open problems which will lead to future research.
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.
Branching processes theory and their applications, mainly, on population dynamics, cell kinetics, genetics, and epidemiology Includes supplementary material: sn.pub/extras

Autor*in

Miguel González

Themen in »Workshop on Branching Processes and Their Applications«

Applications of branching processes in Epidemiology, Cell Ki Branching process Limit Theorems and Statistics in Branching Processes Population Growth Models in Random and Varying Environments Specific Branching Processes Two-Sex Branching Models statistics

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