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From the Reviews: "Gihman and Skorohod have done an excellent job of presenting the theory in its present state of rich imperfection." --D.W. Stroock, Bulletin of the American Mathematical Society, 1980
This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.
Providing the necessary materials within a theoretical framework, this volume presents stochastic principles and processes, and related areas. Over 1000 exercises illustrate the concepts discussed, including modern approaches to sample paths and optimal stopping.
This work presents the theory of stochastic processes in its present state of rich imperfection. To describe this work as encyclopedic does not give an accurate picture of its content and style. Some parts read like a textbook, but others are more technical and contain relatively new results. The exposition is robust and explicit, as one has come to expect of the Russian tradition of mathematical writing. The authors' display mastery of their material, and demonstrate their confident insight into its underlying structure. The set when completed will be an invaluable source of information and reference in this ever-expanding field.
No detailed description available for "Mathematical Statistics".
No detailed description available for "Exploring Stochastic Laws".
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Comprehensive presentation of the technical aspects and applications of the theory of structured dependence between random processes.
The book is based on results from the Russian expedition in the region of the Antarctic Peninsula and Powell Basin in the northern part of the Weddell Sea, as well as on the review of earlier research in the region. The main goal of the research was to collect the newest data and study the physical properties and ecology of this key region of the Southern Ocean. Data analysis is supplemented with numerical modeling of the atmosphere-ocean interaction and circulation in the adjacent region, including research on rogue waves. The focus of the study was the Antarctic Circumpolar Current, currents and water properties in the Bransfield Strait and Antarctic Sound, properties of seawater, currents, ecosystem and biological communities in the Powell Basin of the northwestern Weddell Sea, and their variations. An attempt is made to reveal the role of various components of the Antarctic environment in the formation of biological productivity and maintenance of the Antarctic krill population. This is especially important as in the last decades the Antarctic environment has experienced significant changes related to the global climatic trends.