Fundamentals of Stochastic Nature Sciences (Hardcover, 1st ed. 2017)

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. In the case considered, clustering of the field f(r,t) of any nature is a general feature of dynamic fields, and one may claim that structure formation is the Law of Nature for arbitrary random fields of such type. The study clarifies the conditions under which such structure formation takes place. To make the content more accessible, these conditions are described at a comparatively elementary mathematical level by employing ideas from statistical topography.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Understanding Complex Systems
Release date:	May 2017
First published:	2017
Authors:	Valery I. Klyatskin
Dimensions:	235 x 155 x 13mm (L x W x T)
Format:	Hardcover
Pages:	190
Edition:	1st ed. 2017
ISBN-13:	978-3-319-56921-5
Categories:	Books > Earth & environment > Earth sciences > General Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory Books > Science & Mathematics > Physics > Thermodynamics & statistical physics > Statistical physics Promotions
LSN:	3-319-56921-X
Barcode:	9783319569215

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