An Innovation Approach To Random Fields

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An Innovation Approach To Random Fields

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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2004

An Innovation Approach To Random Fields written by Takeyuki Hida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

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

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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2004-07-14

Innovation Approach To Random Fields An Application Of White Noise Theory written by Takeyuki Hida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-14 with Mathematics categories.

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.

Invariant Random Fields On Spaces With A Group Action

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Author : Anatoliy Malyarenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-26

Invariant Random Fields On Spaces With A Group Action written by Anatoliy Malyarenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-26 with Mathematics categories.

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.

Selected Papers Of Takeyuki Hida

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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2001

Selected Papers Of Takeyuki Hida written by Takeyuki Hida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

The topics discussed in this book can be classified into three parts: (i) Gaussian processes. The most general and in fact final representation theory of Gaussian processes is included in this book. This theory is still referred to often and its developments are discussed.(ii) White noise analysis. This book includes the notes of the series of lectures delivered in 1975 at Carleton University in Ottawa. They describe the very original idea of introducing the notion of generalized Brownian functionals (nowadays called ?generalized white noise functionals?, and sometimes ?Hida distribution?.(iii) Variational calculus for random fields. This topic will certainly represent one of the driving research lines for probability theory in the next century, as can be seen from several papers in this volume

Lectures On White Noise Functionals

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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2008-07-04

Lectures On White Noise Functionals written by Takeyuki Hida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-04 with Mathematics categories.

White noise analysis is an advanced stochastic calculus that has developed extensively since three decades ago. It has two main characteristics. One is the notion of generalized white noise functionals, the introduction of which is oriented by the line of advanced analysis, and they have made much contribution to the fields in science enormously. The other characteristic is that the white noise analysis has an aspect of infinite dimensional harmonic analysis arising from the infinite dimensional rotation group. With the help of this rotation group, the white noise analysis has explored new areas of mathematics and has extended the fields of applications.

Innovative Approaches To The On Site Assessment And Remediation Of Contaminated Sites

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Author : Danny Reible
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Innovative Approaches To The On Site Assessment And Remediation Of Contaminated Sites written by Danny Reible and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

2 DANNY D. REIBLEI AND KATERINA DEMNEROVA 1 Hazardous Substance Research Center/South and Southwest, Louisiana State University, Baton Rouge, LA 70803 2 Department of Biochemistry and Microbiology, Institute of Chemical Technology, Prague, Czech Republic On May 24, 2001, a total of 102 students and lecturers participated in an Advanced Study Institute (ASI) sponsored by the North Atlantic Treaty Organization (NATO) under our direction. The Institute was focused on in situ and onsite management of contaminated sites. The objective of the Institute was to balance state of the art science with techniques for field application of a variety of technologies for in situ assessment and remediation of contaminated sites. Many of the lecturers were drawn from the ranks of the Hazardous Substance Research Centers, multi-university consortia that have been funded by the US Environmental Protection Agency to conduct research and technology transfer designed to promote risk-based management and control of hazardous substances for the nation. The Centers have made special contributions to the areas of in situ and onsite assessment and remediation of contaminated sites. Such approaches have the potential for being significantly less expensive than other assessment and remediation approaches while maintaining accuracy and effectiveness. Cost-effective remedial and management approaches that are also effective in minimizing exposure and risk to human health and the environment are a critical need throughout the world but particularly in Eastern Europe and the former Soviet Union where resources that can be devoted to environmental cleanup are especially limited.

Quantum Bio Informatics Iv From Quantum Information To Bio Informatics

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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 2011-01-27

Quantum Bio Informatics Iv From Quantum Information To Bio Informatics written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-27 with Science categories.

The purpose of this proceedings volume is to return to the starting point of bio-informatics and quantum information, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, research for new paradigm for information science and life science on the basis of quantum theory.

Probability Theory

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Author : Louis H. Y. Chen
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2015-03-30

Probability Theory written by Louis H. Y. Chen and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-30 with Mathematics categories.

No detailed description available for "Probability Theory".

Mathematical Methods Of Quantum Physics 2nd Jagna International Workshop

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Author : C C Bernido
language : en
Publisher: CRC Press
Release Date : 2020-12-17

Mathematical Methods Of Quantum Physics 2nd Jagna International Workshop written by C C Bernido and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Mathematics categories.

Articles are presented, covering a wide range of topics in the mathematical methods of quantum physics. These include infinite dimensional analysis based on white noise, operator algebra methods, Feynman path integrals, quantum mechanics on non-simply connected spaces, recent results in supersymmetric theories, stochastic and quantum dynamics, Yang-Baxter systems, statistical physics, thermo field dynamics, and quantum field theory. The essays are based on lectures contributed for the Second Jagna International Workshop held in honour of Prof. Hiroshi Ezawa, a distinguished physicist, educator, and former president of the Physical Society of Japan.

Quantum Information Iv Proceedings Of The Fourth International Conference

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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2002-05-30

Quantum Information Iv Proceedings Of The Fourth International Conference written by Takeyuki Hida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-30 with Science categories.