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Stochastic Analysis Classical And Quantum Perspectives Of White Noise Theory
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Book Synopsis Stochastic Analysis: Classical And Quantum: Perspectives Of White Noise Theory by : Takeyuki Hida
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.
Book Synopsis Mathematical Analysis of Random Phenomena by : Ana Bela Cruzeiro
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.
Book Synopsis Introduction to Hida Distributions by : Si Si
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.
Book Synopsis Quantum Bioinformatics Four by : Luigi Accardi
Download or read book Quantum Bioinformatics Four written by Luigi Accardi and published by World Scientific. This book was released on 2011 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.
Book Synopsis Off-Shell Applications in Nanophotonics by : Motoichi Ohtsu
Download or read book Off-Shell Applications in Nanophotonics written by Motoichi Ohtsu and published by Elsevier. This book was released on 2021-07-24 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Off-shell science deals with the quantum field in which the dispersion relation between energy and momentum is invalid. A typical example of such the quantum field is the dressed photon (DP) that creates by the interaction among photons, electrons, and phonons in a nano-particle. This field is complementary to the on-shell quantum field (photons in a macroscopic space). Off-Shell Applications in Nanophotonics: Dressed Photon Science and Technology reviews the experimental/theoretical studies and shows the route that should be taken to establish off-shell science in the future. A variety of phenomena originate from the DP, and phenomena analogous to them have been found among physical, chemical, and biological phenomena. This indicates that off-shell quantum fields are universal and essential constituent elements of nature. By noting this, readers will be able to use off-shell science to develop new technologies. This book presents i) the reasons why the off-shell scientific theory is required, ii) the nature of the dressed photon by presenting experimental results, iii) tentative theoretical description of the dressed photon, iv) disruptive innovations (nano-optical devices, nano-fabrication technology, energy conversion technology, and silicon light-emitting diodes/lasers), and v) genuine theoretical approaches (based on spatio-temporal vortex hydrodynamics, quantum probability, quantum measurement, and micro-macro duality). It will appeal to materials scientists, engineers and physicists working in the areas of optics and photonics. - Explains the fundamental concepts behind off-shell science, and how it differs from traditional nanophotonics - Presents a range of simulation models demonstrating major off-shell models - Assesses the major challenges for researchers wanting to employ off-shell-based experimental techniques
Book Synopsis Progress in Nanophotonics 5 by : Takashi Yatsui
Download or read book Progress in Nanophotonics 5 written by Takashi Yatsui and published by Springer. This book was released on 2018-08-29 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents important topics in nanophotonics in review-style chapters written by world leading scientists. The book sketches the history of dressed photon science and technology and explains why advanced theories of dressed photons are required. To meet this requirement, the recent results of theoretical studies and the theory of dressed photons are displayed by modifying the conventional electromagnetic theory. The classical theoretical model of spatiotemporal vortex dynamics is explained by treating the dressed photon as a space-like virtual photon. Also discussed in the book is the energy transfer of dressed photons, based on a quantum walk model and a quantum mechanical measurement process of dressed photons for connecting the nano- and macro-systems. Dressed photons are explained as quantum fields by characterizing them in momentum space.
Book Synopsis Stochastic Analysis and Applications by : Fred Espen Benth
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.
Book Synopsis Lectures on White Noise Functionals by : Takeyuki Hida
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 Mathematical Reviews written by and published by . This book was released on 2006 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Real And Stochastic Analysis: Current Trends by : Malempati Madhusudana Rao
Download or read book Real And Stochastic Analysis: Current Trends written by Malempati Madhusudana Rao and published by World Scientific. This book was released on 2013-11-26 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the current status and research trends in Stochastic Analysis. Several new and emerging research areas are described in detail, highlighting the present outlook in Stochastic Analysis and its impact on abstract analysis. The book focuses on treating problems in areas that serve as a launching pad for continual research.
Book Synopsis A Trajectory Description of Quantum Processes. I. Fundamentals by : Ángel S. Sanz
Download or read book A Trajectory Description of Quantum Processes. I. Fundamentals written by Ángel S. Sanz and published by Springer. This book was released on 2012-03-27 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of "classical" concepts. Beginning at an introductory level suitable for students, this two-volume monograph presents (1) the fundamentals and (2) the applications of the trajectory description of basic quantum processes. This first volume is focussed on the classical and quantum background necessary to understand the fundamentals of Bohmian mechanics, which can be considered the main topic of this work. Extensions of the formalism to the fields of open quantum systems and to optics are also proposed and discussed.
Book Synopsis Introduction to Stochastic Integration by : Hui-Hsiung Kuo
Download or read book Introduction to Stochastic Integration written by Hui-Hsiung Kuo and published by Springer Science & Business Media. This book was released on 2006-02-04 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Also called Ito calculus, the theory of stochastic integration has applications in virtually every scientific area involving random functions. This introductory textbook provides a concise introduction to the Ito calculus. From the reviews: "Introduction to Stochastic Integration is exactly what the title says. I would maybe just add a ‘friendly’ introduction because of the clear presentation and flow of the contents." --THE MATHEMATICAL SCIENCES DIGITAL LIBRARY
Book Synopsis Methods And Applications Of White Noise Analysis In Interdisciplinary Sciences by : Christopher C Bernido
Download or read book Methods And Applications Of White Noise Analysis In Interdisciplinary Sciences written by Christopher C Bernido and published by World Scientific. This book was released on 2014-11-27 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Recent Development in Stochastic Dynamics and Stochastic Analysis by : Jinqiao Duan
Download or read book Recent Development in Stochastic Dynamics and Stochastic Analysis written by Jinqiao Duan and published by World Scientific. This book was released on 2010 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic dynamical systems and stochastic analysis are of great interests not only to mathematicians but also scientists in other areas. Stochastic dynamical systems tools for modeling and simulation are highly demanded in investigating complex phenomena in, for example, environmental and geophysical sciences, materials science, life sciences, physical and chemical sciences, finance and economics. The volume reflects an essentially timely and interesting subject and offers reviews on the recent and new developments in stochastic dynamics and stochastic analysis, and also some possible future research directions. Presenting a dozen chapters of survey papers and research by leading experts in the subject, the volume is written with a wide audience in mind ranging from graduate students, junior researchers to professionals of other specializations who are interested in the subject.
Book Synopsis Beyond Quantum by : Andrei Khrennikov
Download or read book Beyond Quantum written by Andrei Khrennikov and published by CRC Press. This book was released on 2014-04-10 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present wave of interest in quantum foundations is caused by the tremendous development of quantum information science and its applications to quantum computing and quantum communication. It has become clear that some of the difficulties encountered in realizations of quantum information processing have roots at the very fundamental level. To solve such problems, quantum theory has to be reconsidered. This book is devoted to the analysis of the probabilistic structure of quantum theory, probing the limits of classical probabilistic representation of quantum phenomena.
Book Synopsis Between Chance and Choice by : Harald Atmanspacher
Download or read book Between Chance and Choice written by Harald Atmanspacher and published by Andrews UK Limited. This book was released on 2014-06-23 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are choice and free will possible in a world governed by deterministic fundamental equations? What sense would determinism make if many events and processes in the world seemed to be governed by chance? These and many other questions emphasize the fact that chance and choice are two leading actors on stage whenever issues of determinism are under discussion. This volume collects essays by accomplished scientists and philosophers, addressing numerous facets of the concept of determinism. The contributions cover viewpoints from mathematics, physics, cognitive science and social science as well as various branches of philosophy. They offer valuable reading for everyone interested in the interdisciplinary relations between determinism, chance and free will. The desire to foster an interdisciplinary dialogue on determinism, chance and free will was the initial impetus leading to an international workshop on determinism taking place at Ringberg Castle near Lake Tegernsee, south of Munich, in June 2001. Representatives from mathematics, physics, cognitive and social science, and various branches of philosophy convened to discuss numerous aspects of determinism from their disciplinary perspectives. This volume is based on elaborated and refereed manuscripts of their lectures.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1990 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:
