Probabilistic Models of Cosmic Backgrounds
Probabilistic Models of Cosmic Backgrounds

Author: Anatoliy Malyarenko

Publisher: CRC Press

Published: 2024-06-30

Total Pages: 705

ISBN-13: 1040021271

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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.

Probabilistic Models of Cosmic Backgrounds
Probabilistic Models of Cosmic Backgrounds

Author: Anatoliy Malyarenko

Publisher:

Published: 2024

Total Pages: 0

ISBN-13: 9781032382937

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"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"--

Invariant Random Fields on Spaces with a Group Action
Invariant Random Fields on Spaces with a Group Action

Author: Anatoliy Malyarenko

Publisher: Springer Science & Business Media

Published: 2012-10-26

Total Pages: 271

ISBN-13: 3642334059

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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.

Mathematical Models of Information and Stochastic Systems
Mathematical Models of Information and Stochastic Systems

Author: Philipp Kornreich

Publisher: CRC Press

Published: 2018-10-03

Total Pages: 376

ISBN-13: 1420058843

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From ancient soothsayers and astrologists to today’s pollsters and economists, probability theory has long been used to predict the future on the basis of past and present knowledge. Mathematical Models of Information and Stochastic Systems shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. It explains how this known quantity of information is used to derive a system’s probabilistic properties. After an introduction, the book presents several basic principles that are employed in the remainder of the text to develop useful examples of probability theory. It examines both discrete and continuous distribution functions and random variables, followed by a chapter on the average values, correlations, and covariances of functions of variables as well as the probabilistic mathematical model of quantum mechanics. The author then explores the concepts of randomness and entropy and derives various discrete probabilities and continuous probability density functions from what is known about a particular stochastic system. The final chapters discuss information of discrete and continuous systems, time-dependent stochastic processes, data analysis, and chaotic systems and fractals. By building a range of probability distributions based on prior knowledge of the problem, this classroom-tested text illustrates how to predict the behavior of diverse systems. A solutions manual is available for qualifying instructors.

The Cosmic Microwave Background
The Cosmic Microwave Background

Author: Ruth Durrer

Publisher: Cambridge University Press

Published: 2020-12-17

Total Pages: 519

ISBN-13: 1107135222

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This graduate textbook describes the physics of the Cosmic Microwave Background, arguably the most important topic in modern cosmology.

Science Myths We Tell Ourselves
Science Myths We Tell Ourselves

Author: William N. Barbat

Publisher: Outskirts Press

Published: 2015-03-27

Total Pages: 135

ISBN-13: 1478747765

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We live in an age of trusting the “experts.” But what happens when the so-called experts are wrong…and their misinformation is allowing us to destroy ourselves? In Science Myths We Tell Ourselves, William Barbat demonstrates the incorrect reasoning behind “facts” we have been taught, including the Big Bang, instant creation, continental drift, and spreading sea floors. Skeptics’ assertions that the climate is not changing are disproven by Barbat’s update of his 1973 climate study, which definitively proves that the world’s desert belts are expanding poleward, like the expansion of the Sahara Desert of North Africa, which ended the Ice Age. The recent drought in the midcontinental US, and the pervasive droughts in California and Brazil may be previews of climate disasters brought on by mankind, unless we can halt climate change by rethinking our energy protocols. We’ve been told that energy cannot be created in nature, or by man…but the stunning central thesis of Science Myths We Tell Ourselves is that the “law” on which this belief is based (Helmholtz’s Energy Conservation Law) is completely untrue—in fact, it was rejected as “metaphysics” in 1847 by the Berlin Physics Society. Scientists unwilling to examine the facts continue to propagate this misinformation while ignoring the potential for unlimited, non-polluting energy from low-mass electrons. This enlightening and fascinating book will challenge what you think you know, as well as providing hope and direction for a different future.

Foundations of Modern Cosmology
Foundations of Modern Cosmology

Author: John F. Hawley

Publisher: OUP Oxford

Published: 2005-07-07

Total Pages: 576

ISBN-13: 0191606952

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Recent discoveries in astronomy, especially those made with data collected by satellites such as the Hubble Space Telescope and the Wilkinson Microwave Anisotropy Probe, have revolutionized the science of cosmology. These new observations offer the possibility that some long-standing mysteries in cosmology might be answered, including such fundamental questions as the ultimate fate of the universe. Foundations of modern cosmology provides an accessible, thorough and descriptive introduction to the physical basis for modern cosmological theory, from the big bang to a distant future dominated by dark energy. This second edition includes the latest observational results and provides the detailed background material necessary to understand their implications, with a focus on the specific model supported by these observations, the concordance model. Consistent with the book's title, emphasis is given to the scientific framework for cosmology, particularly the basics concepts of physics that underlie modern theories of relativity and cosmology; the importance of data and observations is stressed throughout. The book sketches the historical background of cosmology, and provides a review of the relevant basic physics and astronomy. After this introduction, both special and general relativity are treated, before proceeding to an in-depth discussion of the big bang theory and physics of the early universe. The book includes current research areas, including dark matter and structure formation, dark energy, the inflationary universe, and quantum cosmology. The authors' website (http://www.astro.virginia.edu/~jh8h/Foundations) offers a wealth of supplemental information, including questions and answers, references to other sources, and updates on the latest discoveries.

Astronomy and Astrophysics Abstracts
Astronomy and Astrophysics Abstracts

Author: S. Böhme

Publisher: Springer Science & Business Media

Published: 2013-12-14

Total Pages: 1180

ISBN-13: 3662123827

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From the reviews: Astronomy and Astrophysics Abstracts has appeared in semi-annual volumes since 1969 and it has already become one of the fundamental publications in the fields of astronomy, astrophysics and neighbouring sciences. It is the most important English-language abstracting journal in the mentioned branches. ... The abstracts are classified under more than hundred subject categories, thus permitting a quick survey of the whole extended material. The AAA is a valuable and important publication for all students and scientists working in the fields of astronomy and related sciences. As such it represents a necessary ingredient of any astronomical library all over the world." Space Science Reviews #1 "Dividing the whole field plus related subjects into 108 categories, each work is numbered and most are accompanied by brief abstracts. Fairly comprehensive cross-referencing links relevant papers to more than one category, and exhaustive author and subject indices are to be found at the back, making the catalogues easy to use. The series appears to be so complete in its coverage and always less than a year out of date that I shall certainly have to make a little more space on those shelves for future volumes." The Observatory Magazine #1