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Workshop on Branching Processes and Their Applications (Paperback, 2010 ed.)
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Workshop on Branching Processes and Their Applications (Paperback, 2010 ed.)
Series: Lecture Notes in Statistics - Proceedings, 197
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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.
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