:If I understand the theory of branching processes correctly, then any native English person is almost certain to be descended from royalty.
12.
Examples of discrete-time stochastic processes are random walks and branching processes, for which the state space may be either continuous or discrete.
13.
Mathematical models of genetic drift can be designed using either branching processes or a diffusion equation describing changes in allele frequency in an idealised population.
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A central question in the theory of branching processes is the probability of "'ultimate extinction "', where no individuals exist after some finite number of generations.
15.
For fixed population sizes, the probability of fixation for a new allele with selective advantage " s " can be approximated using the theory of branching processes.
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By the finiteness of the branching process, \ sum f ( T, c ) = 1, the summation over all broodtrees T and History does not abort.
17.
Edinger's work on fossil horse brains showed that evolution was a branching process, as structures could evolve independently, such as the large forebrain found in advanced mammals.
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In computational biology, and more specifically in population genetics, spatial branching processes with competitive selection and migration mechanisms can also represented by mean field genetic type population dynamics models.
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In this algorithm, a branching process is used as the basis and it was shown that it almost always achieves an asymptotically optimal packing under the above side conditions.
20.
Stan Frankel and Richard Feynman had tacked the problem using classical physics, but Ulam and Hawkins approached it using probability theory, creating a new sub-field know known as branching process theory.
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