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Titlebook: Workshop on Branching Processes and Their Applications; Miguel González Velasco,Inés M. Puerto,Alfonso Ram Conference proceedings 2010 Spr

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书目名称Workshop on Branching Processes and Their Applications
编辑Miguel González Velasco,Inés M. Puerto,Alfonso Ram
视频video
概述Branching processes theory and their applications, mainly, on population dynamics, cell kinetics, genetics, and epidemiology.Includes supplementary material:
丛书名称Lecture Notes in Statistics
图书封面Titlebook: Workshop on Branching Processes and Their Applications;  Miguel González Velasco,Inés M. Puerto,Alfonso Ram Conference proceedings 2010 Spr
描述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.
出版日期Conference proceedings 2010
关键词Applications of branching processes in Epidemiology, Cell Ki; Branching process; Limit Theorems and St
版次1
doihttps://doi.org/10.1007/978-3-642-11156-3
isbn_softcover978-3-642-11154-9
isbn_ebook978-3-642-11156-3Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer-Verlag Berlin Heidelberg 2010
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Workshop on Branching Processes and Their Applications978-3-642-11156-3Series ISSN 0930-0325 Series E-ISSN 2197-7186
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Lecture Notes in Statisticshttp://image.papertrans.cn/w/image/1031068.jpg
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https://doi.org/10.1007/978-3-642-11156-3Applications of branching processes in Epidemiology, Cell Ki; Branching process; Limit Theorems and St
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A refinement of limit theorems for the critical branching processes in random environmentFor the critical branching processes in i.i.d. environment the asymptotic behavior of the survival probability is found and a conditional functional limit theorem is proved under the hypotheses which are milder than those used earlier.
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Miguel González Velasco,Inés M. Puerto,Alfonso RamBranching processes theory and their applications, mainly, on population dynamics, cell kinetics, genetics, and epidemiology.Includes supplementary material:
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Gerold Alsmeyerns developed it for the HJB equations (Lions, J Commun PDE 8:1101–1134, 1983; Acta Math 16:243–278, 1988; Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. Part II. Optimal control of Zakai equation. In: Da Prato, Tubaro (eds) Stocha
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