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There are presented two directions of the theory of branching processes, the processes with arbitrary numbers types of particles and processes with continuous state space. The monograph consists of eight chapters. The first one contains a short historical information about branching processes and concise review of literature. The second one is devoted to the basic definition and statements of theorems. The third chapter contains the results of an article by M. Jirina General branching process with continuous time parameter''. Further, there are presented the results of Ya. Yeleyko, the limit theorems for processes with arbitrary numbers of particles. The fifth chapter follows the fundamental article of M. Jirina Stochastic branching processes with continuous state space as well as Yu. Ryshov and A. Skorohod Homogeneous branching processes with finite number types of particles and continuously changing mass '. The final chapters include theorems on convergence of sequences of Galton-Watson processes to a process with continuous state space.
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Limit Theorems and Transient Phenomena in the Theory of Branching Processes
2010, VNTL Publishers
Hardcover
in English
- First edition
9668849191 9789668849190
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Contains bibliographic references and index.
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Feedback?May 23, 2022 | Edited by Kaustubh Chakraborty | Added new book |
May 23, 2022 | Created by Kaustubh Chakraborty | Added new book. |