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Fundamentals of Stochastic Nature Sciences

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  • 190 Nombre de pages
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This book addresses the processes of stochastic structure formation in two-dimensional geophysical fluid dynamics based on statis... Lire la suite
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Description

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.

Informations sur le produit

Titre: Fundamentals of Stochastic Nature Sciences
Auteur:
EAN: 9783319569222
Format: eBook (pdf)
Producteur: Springer International Publishing
Genre: Technique
Parution: 28.04.2017
Protection contre la copie numérique: filigrane numérique
Taille de fichier: 5.79 MB
Nombre de pages: 190

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