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
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.
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 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lectures on White Noise Functionals written by Takeyuki Hida and published by World Scientific. This book was released on 2008 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to Hida Distributions written by Si Si and published by World Scientific. This book was released on 2012 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Stochastic Analysis Classical And Quantum Perspectives Of White Noise Theory written by Takeyuki Hida and published by World Scientific. This book was released on 2005-10-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Lectures on White Noise Functionals written by Takeyuki Hida and published by World Scientific. This book was released on 2008 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Download or read book Quantum Information and Computing written by Luigi Accardi and published by World Scientific. This book was released on 2006 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Analysis of Random Phenomena written by Ana Bela Cruzeiro and published by World Scientific. This book was released on 2007 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quantum Information And Complexity Proceedings Of The Meijo Winter School 2003 written by Takeyuki Hida and published by World Scientific. This book was released on 2004-10-28 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quantum Information and Complexity written by Takeyuki Hida and published by World Scientific. This book was released on 2004 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Abstract and Applied Analysis written by N. M. Chuong and published by World Scientific. This book was released on 2004 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods.Topics include linear elliptic systems for composite material ? the coefficients may jump from domain to domain; Stochastic Analysis ? many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Download or read book Stochastic Partial Differential Equations and Applications VII written by Giuseppe Da Prato and published by CRC Press. This book was released on 2005-10-12 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Partial Differential Equations and Applications gives an overview of current state-of-the-art stochastic PDEs in several fields, such as filtering theory, stochastic quantization, quantum probability, and mathematical finance. Featuring contributions from leading expert participants at an international conference on the subject, this boo
Download or read book Stochastic Analysis and Applications written by Fred Espen Benth and published by Springer Science & Business Media. This book was released on 2007-04-24 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Abel Symposium 2005 was organized as a tribute to the work of Kiyosi Ito on the occasion of his 90th birthday. Distinguished researchers from all over presented the newest developments within the exciting and fast growing field of stochastic analysis. This volume combines both papers from the invited speakers and contributions by the presenting lecturers. In addition, it includes the Memoirs that Kiyoshi Ito wrote for this occasion.
Download or read book An Introduction to Sparse Stochastic Processes written by Michael Unser and published by Cambridge University Press. This book was released on 2014-08-21 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed guide to sparsity, providing a description of their transform-domain statistics and applying the models to practical algorithms.
Download or read book Quantum Bio informatics Iv From Quantum Information To Bio informatics written by Luigi Accardi and published by World Scientific. This book was released on 2011-01-27 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
