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portada Quasi-Stationary Phenomena in Nonlinearly Perturbed Stochastic Systems (de Gruyter Expositions in Mathematics)
Type
Physical Book
Publisher
Author
Year
2008
Language
English
Pages
579
Format
Hardcover
Weight
2
ISBN
3110204371
ISBN13
9783110204377
Categories

Quasi-Stationary Phenomena in Nonlinearly Perturbed Stochastic Systems (de Gruyter Expositions in Mathematics)

Mats Gyllenberg; Dmitrii S. Silvestrov (Author) · De Gruyter · Hardcover

Quasi-Stationary Phenomena in Nonlinearly Perturbed Stochastic Systems (de Gruyter Expositions in Mathematics) - Mats Gyllenberg; Dmitrii S. Silvestrov

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Synopsis "Quasi-Stationary Phenomena in Nonlinearly Perturbed Stochastic Systems (de Gruyter Expositions in Mathematics) "

The book is devoted to studies of quasi-stationary phenomena in nonlinearly perturbed stochastic systems. New methods of asymptotic analysis for nonlinearly perturbed stochastic processes based on new types of asymptotic expansions for perturbed renewal equation and recurrence algorithms for construction of asymptotic expansions for Markov type processes with absorption are presented. Asymptotic expansions are given in mixed ergodic (for processes) and large deviation theorems (for absorption times) for nonlinearly perturbed regenerative processes, semi-Markov processes, and Markov chains. Applications to analysis of quasi-stationary phenomena in nonlinearly perturbed queueing systems, population dynamics and epidemic models, and for risk processes are presented. The book also contains an extended bibliography of works in the area. It is an essential reference for theoretical and applied researchers in the field of stochastic processes and their applications and may be also useful for doctoral and advanced undergraduate students.

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