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Fundamentals of Stochastic Nature Sciences

Fundamentals of Stochastic Nature Sciences

Hardcover

Series: Understanding Complex Systems

Technology & EngineeringGeneral SciencePhysics

ISBN10: 331956921X
ISBN13: 9783319569215
Publisher: Springer Nature
Published: May 5 2017
Pages: 190
Weight: 1.02
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English

This book addresses the processes of stochastic structure formation in two-dimensional geophysical fluid dynamics based on statistical analysis of Gaussian random fields, as well as stochastic structure formation in dynamic systems with parametric excitation of positive random fields f(r, t) described by partial differential equations. Further, the book considers two examples of stochastic structure formation in dynamic systems with parametric excitation in the presence of Gaussian pumping. In dynamic systems with parametric excitation in space and time, this type of structure formation either happens - or doesn't! However, if it occurs in space, then this almost always happens (exponentially quickly) in individual realizations with a unit probability.

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