Invariant Random Fields on Spaces with a Group Action - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Invariant Random Fields on Spaces with a Group Action write by Anatoliy Malyarenko. This book was released on 2012-10-26. Invariant Random Fields on Spaces with a Group Action available in PDF, EPUB and Kindle. 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.
Tensor-Valued Random Fields for Continuum Physics
Tensor-Valued Random Fields for Continuum Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tensor-Valued Random Fields for Continuum Physics write by Anatoliy Malyarenko. This book was released on 2018-12-06. Tensor-Valued Random Fields for Continuum Physics available in PDF, EPUB and Kindle. Presents a complete description of homogenous and isotropic tensor-valued random fields, including the problems of continuum physics, mathematical tools and applications.
Probability on Compact Lie Groups
Probability on Compact Lie Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probability on Compact Lie Groups write by David Applebaum. This book was released on 2014-06-26. Probability on Compact Lie Groups available in PDF, EPUB and Kindle. Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an emphasis on applicability. The most important topics presented are: the study of measures via the non-commutative Fourier transform, existence and regularity of densities, properties of random walks and convolution semigroups of measures and the statistical problem of deconvolution. The emphasis on compact (rather than general) Lie groups helps readers to get acquainted with what is widely seen as a difficult field but which is also justified by the wealth of interesting results at this level and the importance of these groups for applications. The book is primarily aimed at researchers working in probability, stochastic analysis and harmonic analysis on groups. It will also be of interest to mathematicians working in Lie theory and physicists, statisticians and engineers who are working on related applications. A background in first year graduate level measure theoretic probability and functional analysis is essential; a background in Lie groups and representation theory is certainly helpful but the first two chapters also offer orientation in these subjects.
Probabilistic Models of Cosmic Backgrounds
Probabilistic Models of Cosmic Backgrounds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Probabilistic Models of Cosmic Backgrounds write by Anatoliy Malyarenko. This book was released on 2024-06-30. Probabilistic Models of Cosmic Backgrounds available in PDF, EPUB and Kindle. 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.
Séminaire de Probabilités XLVIII
Séminaire de Probabilités XLVIII - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Séminaire de Probabilités XLVIII write by Catherine Donati-Martin. This book was released on 2016-11-17. Séminaire de Probabilités XLVIII available in PDF, EPUB and Kindle. In addition to its further exploration of the subject of peacocks, introduced in recent Séminaires de Probabilités, this volume continues the series’ focus on current research themes in traditional topics such as stochastic calculus, filtrations and random matrices. Also included are some particularly interesting articles involving harmonic measures, random fields and loop soups. The featured contributors are Mathias Beiglböck, Martin Huesmann and Florian Stebegg, Nicolas Juillet, Gilles Pags, Dai Taguchi, Alexis Devulder, Mátyás Barczy and Peter Kern, I. Bailleul, Jürgen Angst and Camille Tardif, Nicolas Privault, Anita Behme, Alexander Lindner and Makoto Maejima, Cédric Lecouvey and Kilian Raschel, Christophe Profeta and Thomas Simon, O. Khorunzhiy and Songzi Li, Franck Maunoury, Stéphane Laurent, Anna Aksamit and Libo Li, David Applebaum, and Wendelin Werner.
