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An Operator Residue Theorem with Applications to Branching Processes and Renewal Type Integral Equations

โœ Scribed by Schumitzky, Alan; Wenska, Tom


Book ID
118201484
Publisher
Society for Industrial and Applied Mathematics
Year
1975
Tongue
English
Weight
730 KB
Volume
6
Category
Article
ISSN
0036-1410

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A theorem is proved, concerning expected values of a multitype branching process in a varying environment. The consequence of the theorem is that the branching process can be treated (in the sense of expected values) as a dynamical system with control terms. This is of importance in situations where