Anatoliy Malyarenko's Books

Tensor-Valued Random Fields for Continuum Physics

By: Anatoliy Malyarenko,Martin Ostoja-Starzewski

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Tensor-Valued Random Fields for Continuum Physics

By: Anatoliy Malyarenko,Martin Ostoja-Starzewski

Presents a complete description of homogenous and isotropic tensor-valued random fields, including the problems of continuum physics, mathematical tools and applications.

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Page Count

313

Publisher

Cambridge University Press

Published Date

ISBN 10

1108429858

ISBN 13

9781108429856

Tensor-Valued Random Fields for Continuum Physics

By: Anatoliy Malyarenko,Martin Ostoja-Starzewski

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Tensor-Valued Random Fields for Continuum Physics

By: Anatoliy Malyarenko,Martin Ostoja-Starzewski

Presents a complete description of homogenous and isotropic tensor-valued random fields, including the problems of continuum physics, mathematical tools and applications.

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Page Count

313

Publisher

Cambridge University Press

Published Date

ISBN 10

1108429858

ISBN 13

9781108429856

Random Fields of Piezoelectricity and Piezomagnetism

Correlation Structures

By: Anatoliy Malyarenko,Martin Ostoja-Starzewski,Amirhossein Amiri-Hezaveh

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Random Fields of Piezoelectricity and Piezomagnetism

Correlation Structures

By: Anatoliy Malyarenko,Martin Ostoja-Starzewski,Amirhossein Amiri-Hezaveh

Random fields are a necessity when formulating stochastic continuum theories. In this book, a theory of random piezoelectric and piezomagnetic materials is developed. First, elements of the continuum mechanics of electromagnetic solids are presented. Then the relevant linear governing equations are introduced, written in terms of either a displacement approach or a stress approach, along with linear variational principles. On this basis, a statistical description of second-order (statistically) homogeneous and isotropic rank-3 tensor-valued random fields is given. With a group-theoretic foundation, correlation functions and their spectral counterparts are obtained in terms of stochastic integrals with respect to certain random measures for the fields that belong to orthotropic, tetragonal, and cubic crystal systems. The target audience will primarily comprise researchers and graduate students in theoretical mechanics, statistical physics, and probability.

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Page Count

106

Publisher

Springer Nature

Published Date

ISBN 10

3030600645

ISBN 13

9783030600648

Invariant Random Fields on Spaces with a Group Action

By: Anatoliy Malyarenko

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Invariant Random Fields on Spaces with a Group Action

By: Anatoliy Malyarenko

The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as it introduces new results from this area first proved by the author. The book also presents many practical applications, in particular in such highly interesting areas as approximation theory, cosmology and earthquake engineering. It is intended for researchers and specialists working in the fields of stochastic processes, statistics, functional analysis, astronomy, and engineering.

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Page Count

271

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642334067

ISBN 13

9783642334061

Probabilistic Models of Cosmic Backgrounds

By: Anatoliy Malyarenko

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Probabilistic Models of Cosmic Backgrounds

By: Anatoliy Malyarenko

Combining research methods from various areas of mathematics and physics, Probabilistic Models of Cosmic Backgrounds describes the isotropic random sections of certain fibre bundles and their applications to creating rigorous mathematical models of both discovered and hypothetical cosmic backgrounds. Previously scattered and hard-to-find mathematical and physical theories have been assembled from numerous textbooks, monographs, and research papers, and explained from different or even unexpected points of view. This consists of both classical and newly discovered results necessary for understanding a sophisticated problem of modelling cosmic backgrounds. The book contains a comprehensive description of mathematical and physical aspects of cosmic backgrounds with a clear focus on examples and explicit calculations. Its reader will bridge the gap of misunderstanding between the specialists in various theoretical and applied areas who speak different scientific languages. The audience of the book consists of scholars, students, and professional researchers. A scholar will find basic material for starting their own research. A student will use the book as supplementary material for various courses and modules. A professional mathematician will find a description of several physical phenomena at the rigorous mathematical level. A professional physicist will discover mathematical foundations for well-known physical theories.

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Page Count

705

Publisher

CRC Press

Published Date

ISBN 10

1040021271

ISBN 13

9781040021279

Probabilistic Models of Cosmic Backgrounds

By: Anatoliy Malyarenko

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Probabilistic Models of Cosmic Backgrounds

By: Anatoliy Malyarenko

Combining research methods from various areas of mathematics and physics, Probabilistic Models of Cosmic Backgrounds describes the isotropic random sections of certain fiber bundles and their applications to creating rigorous mathematical models of both discovered and hypothetical cosmic backgrounds. Previously scattered and hard-to-find mathematical and physical theories have been assembled from numerous textbooks, monographs, and research papers, and explained from different or even unexpected points of view. This consists of both classical and newly discovered results necessary for understanding a sophisticated problem of modelling cosmic backgrounds. The book contains a comprehensive description of mathematical and physical aspects of cosmic backgrounds with a clear focus on examples and explicit calculations. Its reader will bridge the gap of misunderstanding between the specialists in various theoretical and applied areas who speak different scientific languages. The audience of the book consists of scholars, students, and professional researchers. A scholar will find basic material for starting their own research. A student will use the book as supplementary material for various courses and modules. A professional mathematician will find a description of several physical phenomena at the rigorous mathematical level. A professional physicist will discover mathematical foundations for well-known physical theories.

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Page Count

288

Publisher

CRC Press

Published Date

ISBN 10

1040021239

ISBN 13

9781040021231

Random Fields of Piezoelectricity and Piezomagnetism

Correlation Structures

By: Anatoliy Malyarenko,Martin Ostoja-Starzewski,Amirhossein Amiri-Hezaveh

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Random Fields of Piezoelectricity and Piezomagnetism

Correlation Structures

By: Anatoliy Malyarenko,Martin Ostoja-Starzewski,Amirhossein Amiri-Hezaveh

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Solve jigsaw puzzle

Age

Page Count

106

Publisher

Springer Nature

Published Date

ISBN 10

3030600645

ISBN 13

9783030600648

Book's by Anatoliy Malyarenko

Tensor-Valued Random Fields for Continuum Physics

Tensor-Valued Random Fields for Continuum Physics

Tensor-Valued Random Fields for Continuum Physics

Tensor-Valued Random Fields for Continuum Physics

Random Fields of Piezoelectricity and Piezomagnetism

Random Fields of Piezoelectricity and Piezomagnetism

Invariant Random Fields on Spaces with a Group Action

Invariant Random Fields on Spaces with a Group Action

Probabilistic Models of Cosmic Backgrounds

Probabilistic Models of Cosmic Backgrounds

Probabilistic Models of Cosmic Backgrounds

Probabilistic Models of Cosmic Backgrounds

Random Fields of Piezoelectricity and Piezomagnetism

Random Fields of Piezoelectricity and Piezomagnetism

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