Invariant Random Fields On Spaces With A Group Action

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Invariant Random Fields on Spaces with a Group Action

Author : Anatoliy Malyarenko
Publisher : Springer Science & Business Media
ISBN 13 : 3642334059
Total Pages : 271 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Invariant Random Fields on Spaces with a Group Action by : Anatoliy Malyarenko

Download or read book Invariant Random Fields on Spaces with a Group Action written by Anatoliy Malyarenko and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Invariant Random Fields on Spaces with a Group Action

Author : Anatoliy Malyarenko
Publisher : Springer Science & Business Media
ISBN 13 : 3642334067
Total Pages : 271 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Invariant Random Fields on Spaces with a Group Action by : Anatoliy Malyarenko

Group Actions and Invariant Theory

Author : Andrzej Białynicki-Birula
Publisher : American Mathematical Soc.
ISBN 13 : 9780821860151
Total Pages : 244 pages
Book Rating : 4.8/5 (61 download)

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Book Synopsis Group Actions and Invariant Theory by : Andrzej Białynicki-Birula

Download or read book Group Actions and Invariant Theory written by Andrzej Białynicki-Birula and published by American Mathematical Soc.. This book was released on 1989 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a conference, sponsored by the Canadian Mathematical Society, on Group Actions and Invariant Theory, held in August, 1988 in Montreal. The conference was the third in a series bringing together researchers from North America and Europe (particularly Poland). The papers collected here will provide an overview of the state of the art of research in this area. The conference was primarily concerned with the geometric side of invariant theory, including explorations of the linearization problem for reductive group actions on affine spaces (with a counterexample given recently by J. Schwarz), spherical and complete symmetric varieties, reductive quotients, automorphisms of affine varieties, and homogeneous vector bundles.

Tensor-Valued Random Fields for Continuum Physics

Author : Anatoliy Malyarenko
Publisher : Cambridge University Press
ISBN 13 : 1108429858
Total Pages : 313 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Tensor-Valued Random Fields for Continuum Physics by : Anatoliy Malyarenko

Download or read book Tensor-Valued Random Fields for Continuum Physics written by Anatoliy Malyarenko and published by Cambridge University Press. This book was released on 2018-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : David Applebaum
Publisher : Springer
ISBN 13 : 3319078429
Total Pages : 217 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Probability on Compact Lie Groups by : David Applebaum

Download or read book Probability on Compact Lie Groups written by David Applebaum and published by Springer. This book was released on 2014-06-26 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Anatoliy Malyarenko
Publisher : CRC Press
ISBN 13 : 1040021271
Total Pages : 705 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Probabilistic Models of Cosmic Backgrounds by : Anatoliy Malyarenko

Download or read book Probabilistic Models of Cosmic Backgrounds written by Anatoliy Malyarenko and published by CRC Press. This book was released on 2024-06-30 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Materials with Internal Structure

Author : Patrizia Trovalusci
Publisher : Springer
ISBN 13 : 3319214942
Total Pages : 135 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Materials with Internal Structure by : Patrizia Trovalusci

Download or read book Materials with Internal Structure written by Patrizia Trovalusci and published by Springer. This book was released on 2015-10-17 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a series of concise papers by researchers specialized in various fields of continuum and computational mechanics and of material science. The focus is on principles and strategies for multiscale modeling and simulation of complex heterogeneous materials, with periodic or random microstructure, subjected to various types of mechanical, thermal, chemical loadings and environmental effects. A wide overview of complex behavior of materials (plasticity, damage, fracture, growth, etc.) is provided. Among various approaches, attention is given to advanced non-classical continua modeling which, provided by constitutive characterization for the internal and external actions (in particular boundary conditions), is a very powerful frame for the gross mechanical description of complex material behaviors, able to circumvent the restrictions of classical coarse–graining multiscale approaches.

Random Fields

Author : C. Preston
Publisher : Springer
ISBN 13 : 3540381937
Total Pages : 205 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Random Fields by : C. Preston

Download or read book Random Fields written by C. Preston and published by Springer. This book was released on 2006-11-14 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ergodic Theorems for Group Actions

Author : A.A. Tempelman
Publisher : Springer Science & Business Media
ISBN 13 : 9401714606
Total Pages : 418 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Ergodic Theorems for Group Actions by : A.A. Tempelman

Download or read book Ergodic Theorems for Group Actions written by A.A. Tempelman and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures on homogeneous spaces. The ergodicity, mixing and quasimixing of semigroup actions and homogeneous random fields are considered as well. In particular homogeneous spaces, on which all homogeneous random fields are quasimixing are introduced and studied (the n-dimensional Euclidean and Lobachevsky spaces with n>=2, and all simple Lie groups with finite centre are examples of such spaces. Also dealt with are applications of general ergodic theorems for the construction of specific informational and thermodynamical characteristics of homogeneous random fields on amenable groups and for proving general versions of the McMillan, Breiman and Lee-Yang theorems. A variational principle which characterizes the Gibbsian homogeneous random fields in terms of the specific free energy is also proved. The book has eight chapters, a number of appendices and a substantial list of references. For researchers whose works involves probability theory, ergodic theory, harmonic analysis, measure theory and statistical Physics.

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400903650
Total Pages : 743 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Séminaire de Probabilités XLVIII

Author : Catherine Donati-Martin
Publisher : Springer
ISBN 13 : 3319444654
Total Pages : 503 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Séminaire de Probabilités XLVIII by : Catherine Donati-Martin

Download or read book Séminaire de Probabilités XLVIII written by Catherine Donati-Martin and published by Springer. This book was released on 2016-11-17 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Innovation Approach to Random Fields

Author : Takeyuki Hida
Publisher : World Scientific
ISBN 13 : 9789812565389
Total Pages : 216 pages
Book Rating : 4.5/5 (653 download)

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Book Synopsis An Innovation Approach to Random Fields by : Takeyuki Hida

Download or read book An Innovation Approach to Random Fields written by Takeyuki Hida and published by World Scientific. This book was released on 2004 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: A random field is a mathematical model of evolutional fluctuatingcomplex systems parametrized by a multi-dimensional manifold like acurve or a surface. As the parameter varies, the random field carriesmuch information and hence it has complex stochastic structure.The authors of this book use an approach that is characteristic: namely, they first construct innovation, which is the most elementalstochastic process with a basic and simple way of dependence, and thenexpress the given field as a function of the innovation. Theytherefore establish an infinite-dimensional stochastic calculus, inparticular a stochastic variational calculus. The analysis offunctions of the innovation is essentially infinite-dimensional. Theauthors use not only the theory of functional analysis, but also theirnew tools for the study

Innovation Approach To Random Fields, An: Application Of White Noise Theory

Author : Takeyuki Hida
Publisher : World Scientific
ISBN 13 : 9814487929
Total Pages : 204 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Innovation Approach To Random Fields, An: Application Of White Noise Theory by : Takeyuki Hida

Download or read book Innovation Approach To Random Fields, An: Application Of White Noise Theory written by Takeyuki Hida and published by World Scientific. This book was released on 2004-07-14 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: A random field is a mathematical model of evolutional fluctuating complex systems parametrized by a multi-dimensional manifold like a curve or a surface. As the parameter varies, the random field carries much information and hence it has complex stochastic structure.The authors of this book use an approach that is characteristic: namely, they first construct innovation, which is the most elemental stochastic process with a basic and simple way of dependence, and then express the given field as a function of the innovation. They therefore establish an infinite-dimensional stochastic calculus, in particular a stochastic variational calculus. The analysis of functions of the innovation is essentially infinite-dimensional. The authors use not only the theory of functional analysis, but also their new tools for the study.

Pattern Theory

Author : Ulf Grenander
Publisher : Oxford University Press
ISBN 13 : 0198505701
Total Pages : 633 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Pattern Theory by : Ulf Grenander

Download or read book Pattern Theory written by Ulf Grenander and published by Oxford University Press. This book was released on 2007 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Pattern Theory' provides a comprehensice & accessible overview of the modern challenges in signal, data & pattern analysis in speech recognition, computational linguistics, image analysis & computer vision. Aimed at graduate students the text includes numerous exercises & an extensive bibliography.

Linear infinite-particle operators

Author : V. A. Malyshev Robert Adol_fovich Minlos
Publisher : American Mathematical Soc.
ISBN 13 : 9780821897607
Total Pages : 314 pages
Book Rating : 4.8/5 (976 download)

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Book Synopsis Linear infinite-particle operators by : V. A. Malyshev Robert Adol_fovich Minlos

Download or read book Linear infinite-particle operators written by V. A. Malyshev Robert Adol_fovich Minlos and published by American Mathematical Soc.. This book was released on 1995-02-13 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the vantage point of mathematical physics, it analyzes the dynamics of equilibrium systems in quantum statistical physics and quantum field theory. Malyshev and Minlos describe two new approaches to the subject which have not been previously treated in monograph form. They also present background material which makes the book accessible and useful to researchers and graduate students working in functional analysis, probability theory, and mathematical physics.

PROBABILITY AND STATISTICS - Volume I

Author : Reinhard Viertl
Publisher : EOLSS Publications
ISBN 13 : 1848260520
Total Pages : 410 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis PROBABILITY AND STATISTICS - Volume I by : Reinhard Viertl

Download or read book PROBABILITY AND STATISTICS - Volume I written by Reinhard Viertl and published by EOLSS Publications. This book was released on 2009-06-11 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Statistics theme is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme with contributions from distinguished experts in the field, discusses Probability and Statistics. Probability is a standard mathematical concept to describe stochastic uncertainty. Probability and Statistics can be considered as the two sides of a coin. They consist of methods for modeling uncertainty and measuring real phenomena. Today many important political, health, and economic decisions are based on statistics. This theme is structured in five main topics: Probability and Statistics; Probability Theory; Stochastic Processes and Random Fields; Probabilistic Models and Methods; Foundations of Statistics, which are then expanded into multiple subtopics, each as a chapter. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs

Weakly Stationary Random Fields, Invariant Subspaces and Applications

Author : Vidyadhar S. Mandrekar
Publisher : CRC Press
ISBN 13 : 1351356453
Total Pages : 176 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Weakly Stationary Random Fields, Invariant Subspaces and Applications by : Vidyadhar S. Mandrekar

Download or read book Weakly Stationary Random Fields, Invariant Subspaces and Applications written by Vidyadhar S. Mandrekar and published by CRC Press. This book was released on 2017-11-20 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with functional analysis). It reviews current literature, presents central issues and most important results within the area. For advanced Ph.D. students, researchers, especially those conducting research on Gaussian theory.