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White Noise Analysis


White Noise Analysis
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Methods And Applications Of White Noise Analysis In Interdisciplinary Sciences


Methods And Applications Of White Noise Analysis In Interdisciplinary Sciences
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Author : Christopher C Bernido
language : en
Publisher: World Scientific
Release Date : 2014-11-27

Methods And Applications Of White Noise Analysis In Interdisciplinary Sciences written by Christopher C Bernido and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-27 with Mathematics categories.


Analysis, modeling, and simulation for better understanding of diverse complex natural and social phenomena often require powerful tools and analytical methods. Tractable approaches, however, can be developed with mathematics beyond the common toolbox. This book presents the white noise stochastic calculus, originated by T Hida, as a novel and powerful tool in investigating physical and social systems. The calculus, when combined with Feynman's summation-over-all-histories, has opened new avenues for resolving cross-disciplinary problems. Applications to real-world complex phenomena are further enhanced by parametrizing non-Markovian evolution of a system with various types of memory functions. This book presents general methods and applications to problems encountered in complex systems, scaling in industry, neuroscience, polymer physics, biophysics, time series analysis, relativistic and nonrelativistic quantum systems.



White Noise


White Noise
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Author : Don DeLillo
language : en
Publisher: Penguin
Release Date : 1999-06-01

White Noise written by Don DeLillo and has been published by Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-01 with Fiction categories.


A brilliant satire of mass culture and the numbing effects of technology, White Noise tells the story of Jack Gladney, a teacher of Hitler studies at a liberal arts college in Middle America. Jack and his fourth wife, Babette, bound by their love, fear of death, and four ultramodern offspring, navigate the rocky passages of family life to the background babble of brand-name consumerism. Then a lethal black chemical cloud, unleashed by an industrial accident, floats over there lives, an "airborne toxic event" that is a more urgent and visible version of the white noise engulfing the Gladneys—the radio transmissions, sirens, microwaves, and TV murmurings that constitute the music of American magic and dread.



White Noise Analysis Mathematics And Applications


White Noise Analysis Mathematics And Applications
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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 1990-06-30

White Noise Analysis Mathematics And Applications 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 1990-06-30 with categories.


This proceedings contains articles on white noise analysis and related subjects. Applications in various branches of science are also discussed. White noise analysis stems from considering the time derivative of Brownian motion (“white noise”) as the basic ingredient of an infinite dimensional calculus. It provides a powerful mathematical tool for research fields such as stochastic analysis, potential theory in infinite dimensions and quantum field theory.



White Noise Analysis And Quantum Information


White Noise Analysis And Quantum Information
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Author : Ohya Masanori
language : en
Publisher: World Scientific
Release Date : 2017-08-29

White Noise Analysis And Quantum Information written by Ohya Masanori and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-29 with Language Arts & Disciplines categories.


This volume is to pique the interest of many researchers in the fields of infinite dimensional analysis and quantum probability. These fields have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. These fields are rather wide and are of a strongly interdisciplinary nature. For such a purpose, we strove to bridge among these interdisciplinary fields in our Workshop on IDAQP and their Applications that was held at the Institute for Mathematical Sciences, National University of Singapore from 3–7 March 2014. Readers will find that this volume contains all the exciting contributions by well-known researchers in search of new directions in these fields. Contents: Extensions of Quantum Theory Canonically Associated to Classical Probability Measures (Luigi Accardi)Hida Distribution Construction of Indefinite Metric (ϕp)d (d ≥ 4) Quantum Field Theory (Sergio Albeverio and Minoru W Yoshida)A Mathematical Realization of von Neumann's Measurement Scheme (Masanari Asano, Masanori Ohya and Yuta Yamamori)On Random White Noise Processes with Memory for Time Series Analysis (Christopher C Bernido and M Victoria Carpio-Bernido)Self-Repelling (Fractional) Brownian Motion: Results and Open Questions (Jinky Bornales and Ludwig Streit)Normal Approximation for White Noise Functionals by Stein's Method and Hida Calculus (Louis H Y Chen, Yuh-Jia Lee and Hsin-Hung Shih)Sensitive Homology Searching Based on MTRAP Alignment (Toshihide Hara and Masanori Ohya)Some of the Future Directions of White Noise Theory (Takeyuki Hida)Local Statistics for Random Selfadjoint Operators (Peter D Hislop and Maddaly Krishna)Multiple Markov Properties of Gaussian Processes and Their Control (Win Win Htay)Quantum Stochastic Differential Equations Associated with Square of Annihilation and Creation Processes (Un Cig Ji and Kalyan B Sinha)Itô Formula for Generalized Real and Complex White Noise Functionals (Yuh-Jia Lee)Quasi Quantum Quadratic Operators of 𝕄2(ℂ) (Farrukh Mukhamedov)New Noise Depending on the Space Parameter and the Concept of Multiplicity (Si Si)A Hysteresis Effect on Optical Illusion and Non-Kolmogorovian Probability Theory (Masanari Asano, Andrei Khrennikov, Masanori Ohya and Yoshiharu Tanaka)Note on Entropy-Type Complexity of Communication Processes (Noboru Watanabe) Readership: Mathematicians, physicists, biologists, and information scientists as well as advanced undergraduates, and graduate students studying in these fields. All researchers interested in the study of Quantum Information and White Noise Theory. Keywords: White Noise Analysis;Quantum Information;Quantum Probability;Bioinformatics;Genes;Adaptive Dynamics;Entanglement;Quantum Entropy;Non-Kolmogorovian Probability;Infinite Dimensional AnalysisReview: Key Features: Mainly focused on quantum information theory and white noise analysis in line with the fields of infinite dimensional analysis and quantum probabilityWhite noise analysis is in a leading position of the analysis on modern stochastic analysis, and this volume contains contributions to the development of these new exciting directions



Lectures On White Noise Functionals


Lectures On White Noise Functionals
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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2008

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 with Technology & Engineering 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.



Let Us Use White Noise


Let Us Use White Noise
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Author : Takeyuki Hida
language : en
Publisher:
Release Date : 2017

Let Us Use White Noise written by Takeyuki Hida and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with MATHEMATICS categories.


"Why should we use white noise analysis? Well, one reason of course is that it fills that earlier gap in the tool kit. As Hida would put it, white noise provides us with a useful set of independent coordinates, parametrized by "time". And there is a feature which makes white noise analysis extremely user-friendly. Typically the physicist — and not only he — sits there with some heuristic ansatz, like e.g. the famous Feynman "integral", wondering whether and how this might make sense mathematically. In many cases the characterization theorem of white noise analysis provides the user with a sweet and easy answer. Feynman's "integral" can now be understood, the "It's all in the vacuum" ansatz of Haag and Coester is now making sense via Dirichlet forms, and so on in many fields of application. There is mathematical finance, there have been applications in biology, and engineering, many more than we could collect in the present volume. Finally, there is one extra benefit: when we internalize the structures of Gaussian white noise analysis we will be ready to meet another close relative. We will enjoy the important similarities and differences which we encounter in the Poisson case, championed in particular by Y Kondratiev and his group. Let us look forward to a companion volume on the uses of Poisson white noise. The present volume is more than a collection of autonomous contributions. The introductory chapter on white noise analysis was made available to the other authors early on for reference and to facilitate conceptual and notational coherence in their work."--Publisher's website.



Analysis Of Physiological Systems


Analysis Of Physiological Systems
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Author : Vasilis Marmarelis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Analysis Of Physiological Systems written by Vasilis Marmarelis 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 Medical categories.


In studying physiological systems bioscientists are continually faced with the problem of providing descriptions of cause-effect relationships. This task is usually carried out through the performance of stimulus-response experiments. In the past, the design of such experiments has been ad hoc, incomplete, and certainly inefficient. Worse yet, bioscientists have failed to take advantage of advances in fields directly related to their problems (specifically, advances in the area of systems analysis). The raison d'etre of this book is to rectify this deficiency by providing the physiologist with methodological tools that will be useful to him or her in everyday labora tory encounters with physiological systems. The book was written so that it would be practical, useful, and up-to date. With this in mind, parts of it give step-by-step descriptions of in the laboratory. It is hoped that this systematic procedures to be followed will increase the usefulness of the book to the average research physiologist and, perhaps, reduce the need for in-depth knowledge of some of the associated mathematics. Even though the material deals with state-of-the art techniques in systems and signal analysis, the mathematical level has been kept low so as to be comprehensible to the average physiologist with no extensive training in mathematics. To this end, mathematical rigor is often sacrificed readily to intuitive simple arguments.



White Noise Analysis


White Noise Analysis
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Author : Takeyuki Hida
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1990-01-01

White Noise Analysis written by Takeyuki Hida and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Brownian motion processes categories.




Stochastic Analysis Classical And Quantum Perspectives Of White Noise Theory


Stochastic Analysis Classical And Quantum Perspectives Of White Noise Theory
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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2005-10-06

Stochastic Analysis Classical And Quantum Perspectives 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 2005-10-06 with Mathematics categories.


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.



Libra


Libra
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Author : Don DeLillo
language : en
Publisher: Penguin UK
Release Date : 2018-06-07

Libra written by Don DeLillo and has been published by Penguin UK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-07 with Fiction categories.


'Think of two parallel lines. One is the life of Lee H. Oswald. One is the conspiracy to kill the President. What bridges the space between them? What makes a connection inevitable? There is a third line. It comes out of dreams, visions, intuitions, prayers, out of the deepest levels of the self.' A troubled adolescent endlessly riding New York's subway cars, Lee Harvey Oswald enters adulthood believing himself to be an agent of history. This makes him fair game to a pair of discontented CIA operatives convinced that a failed attempt on the life of the US president will force the nation to tackle the threat of communism head on. Libra is a gripping, masterful blend of fact and fiction, laying bare the wounded American psyche and the dark events that still torment it. 'An audacious blend of fiction and fact' The Times