Fundamentals of Stochastic Nature Sciences

Nonfiction, Science & Nature, Science, Physics, General Physics, Technology, Reference & Language, Reference
Cover of the book Fundamentals of Stochastic Nature Sciences by Valery I. Klyatskin, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Valery I. Klyatskin ISBN: 9783319569222
Publisher: Springer International Publishing Publication: April 28, 2017
Imprint: Springer Language: English
Author: Valery I. Klyatskin
ISBN: 9783319569222
Publisher: Springer International Publishing
Publication: April 28, 2017
Imprint: Springer
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.

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Homicide in São Paulo by Valery I. Klyatskin
Cover of the book Bio-Psycho-Social Obstetrics and Gynecology by Valery I. Klyatskin
Cover of the book Additive Manufacturing of Metals by Valery I. Klyatskin
Cover of the book Health Without Borders by Valery I. Klyatskin
Cover of the book Social Computing and Social Media. Communication and Social Communities by Valery I. Klyatskin
Cover of the book Time-of-Flight and Structured Light Depth Cameras by Valery I. Klyatskin
Cover of the book Recent Advances in Computational Engineering by Valery I. Klyatskin
Cover of the book Pediatric Endodontics by Valery I. Klyatskin
Cover of the book The Euroschool on Exotic Beams - Vol. 5 by Valery I. Klyatskin
Cover of the book Fractal Geometry and Stochastics V by Valery I. Klyatskin
Cover of the book Internet Election Campaigns in the United States, Japan, South Korea, and Taiwan by Valery I. Klyatskin
Cover of the book Parallel Computing Technologies by Valery I. Klyatskin
Cover of the book Imperial Theory and Colonial Pragmatism by Valery I. Klyatskin
Cover of the book The Role of Corporate Sustainability in Asian Development by Valery I. Klyatskin
Cover of the book Aviation Security, Privacy, Data Protection and Other Human Rights: Technologies and Legal Principles by Valery I. Klyatskin
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy