Innovation Approach To Random Fields An Application Of White Noise Theory
Download Innovation Approach To Random Fields An Application Of White Noise Theory full books in PDF, epub, and Kindle. Read online free Innovation Approach To Random Fields An Application Of White Noise Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Takeyuki Hida |
Publisher | : World Scientific |
Total Pages | : 204 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9812380957 |
An exploration of random fields. The authors use an approach that firstly constructs innovation, which is the most elemental stochastic process with a basic and simple way of dependence, and then they express the given field as a function of the innovation.
Author | : Takeyuki Hida |
Publisher | : World Scientific |
Total Pages | : 204 |
Release | : 2004-07-14 |
Genre | : Mathematics |
ISBN | : 9814487929 |
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.
Author | : Takeyuki Hida |
Publisher | : World Scientific |
Total Pages | : 281 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9812812040 |
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.
Author | : Si Si |
Publisher | : World Scientific |
Total Pages | : 268 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9812836888 |
This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is white noise. This book analyzes those functionals of white noise, particularly the generalized ones called Hida distributions, and highlights some interesting future directions. The main part of the book involves infinite dimensional differential and integral calculus based on the variable which is white noise.The present book can be used as a supplementary book to Lectures on White Noise Functionals published in 2008, with detailed background provided.
Author | : Takeyuki Hida |
Publisher | : World Scientific |
Total Pages | : 311 |
Release | : 2005-10-06 |
Genre | : Mathematics |
ISBN | : 9814479179 |
This volume includes papers by leading mathematicians in the fields of stochastic analysis, white noise theory and quantum information, together with their applications. The papers selected were presented at the International Conference on Stochastic Analysis: Classical and Quantum held at Meijo University, Nagoya, Japan from 1 to 5 November 2004. The large range of subjects covers the latest research in probability theory.
Author | : Anatoliy Malyarenko |
Publisher | : Springer Science & Business Media |
Total Pages | : 271 |
Release | : 2012-10-26 |
Genre | : Mathematics |
ISBN | : 3642334067 |
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.
Author | : Luigi Accardi |
Publisher | : World Scientific |
Total Pages | : 398 |
Release | : 2006 |
Genre | : Computers |
ISBN | : 9812566147 |
The main purpose of this volume is to emphasize the multidisciplinary aspects of this very active new line of research in which concrete technological and industrial realizations require the combined efforts of experimental and theoretical physicists, mathematicians and engineers. Contents: Coherent Quantum Control of -Atoms Through the Stochastic Limit (L Accardi); Information, Innovation and Elemental Random Field (T Hida); Joint Extension of States of Fermion Subsystems (H Araki); Emergence of White Noise Equations from Classical Quantum Mechanics (A Boukas); Saturation of an Entropy Bound and Quantum Markov States (D Petz); Quantum Entanglement, Purification, and Linear-Optics Quantum Gates with Photonic Qubits (P Walther & A Zeilinger); Group Theory of Dynamical Maps (E C G Sudarshan); Quantum Logical Gates Realized by Beam Splittings (W Freudenberg et al.); Generalized Sectors and Adjunctions (I Ojima); Note on Quantum Mutual Type Measures and Capacity (N Watanabe); Structure of Linear Processes (S Si); An Infinite Dimensional Laplacian Acting on Some Class of Levy White Noise Functionals (K Saito); Fidelity of Quantum Teleportation Model Using Beam Splittings (K-H Fichtner et al.); Noncanonical Representations of a Multi-Dimensional Brownian Motion (Y Hibino); and other papers. Readership: Researchers in quantum physics and theoretical physics.
Author | : Ana Bela Cruzeiro |
Publisher | : World Scientific |
Total Pages | : 241 |
Release | : 2007 |
Genre | : Science |
ISBN | : 9812706038 |
This volume highlights recent developments of stochastic analysis with a wide spectrum of applications, including stochastic differential equations, stochastic geometry, and nonlinear partial differential equations.While modern stochastic analysis may appear to be an abstract mixture of classical analysis and probability theory, this book shows that, in fact, it can provide versatile tools useful in many areas of applied mathematics where the phenomena being described are random. The geometrical aspects of stochastic analysis, often regarded as the most promising for applications, are specially investigated by various contributors to the volume.
Author | : Takeyuki Hida |
Publisher | : World Scientific |
Total Pages | : 469 |
Release | : 2004-10-28 |
Genre | : Science |
ISBN | : 9814481750 |
Quantum information is a developing multi-disciplinary field, with many exciting links to white noise theory. This connection is explored and presented in this work, which effectively bridges the gap between quantum information theory and complex systems. Arising from the Meijo Winter School and International Conference, the lecture notes and research papers published in this timely volume will have a significant impact on the future development of the theories of quantum information and complexity. This book will be of interest to mathematicians, physicists, computer scientists as well as electrical engineers working in this field.
Author | : Takeyuki Hida |
Publisher | : World Scientific |
Total Pages | : 476 |
Release | : 2004 |
Genre | : Computers |
ISBN | : 9789812702449 |
Quantum information is a developing multi-disciplinary field, with many exciting links to white noise theory. This connection is explored and presented in this work, which effectively bridges the gap between quantum information theory and complex systems. Arising from the Meijo Winter School and International Conference, the lecture notes and research papers published in this timely volume will have a significant impact on the future development of the theories of quantum information and complexity. This book will be of interest to mathematicians, physicists, computer scientists as well as electrical engineers working in this field.