Limit Theorems and Transient Phenomena in the Theory of Branching Processes
Edition: First edition
Series: Mathematical Studies. Monograph Series, Vol 14
Publisher: VNTL Publishers
Published: 2010
Place of publication: Kraków, Poland
Language: eng
Format: Hardcover
Number of pages: 260
ISBN-13: 9789668849190
Copyright date: ©2010
Description: 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.
Notes: Contains bibliographic references and index.