Selected Papers of Takeyuki Hida

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Publisher : World Scientific
ISBN 13 : 9789812794611
Total Pages : 498 pages
Book Rating : 4.7/5 (946 download)

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Book Synopsis Selected Papers of Takeyuki Hida by : Takeyuki Hida

Download or read book Selected Papers of Takeyuki Hida written by Takeyuki Hida and published by World Scientific. This book was released on 2001-01-01 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 OC generalized white noise functionalsOCO, and sometimes OC Hida distributionOCO. (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. Sample Chapter(s). Chapter 1: Analysis of Brownian Functionals (1,502 KB). Contents: General Theory of White Noise Functionals; Gaussian and Other Processes; Infinite Dimensional Harmonic Analysis and Rotation Group; Quantum Theory; Feynman Integrals and Random Fields; Variational Calculus and Random Fields; Application to Biology. Readership: Graduate students and researchers in the fields of probability theory, functional analysis, statistics and theoretical physics."

Selected Papers Of Takeyuki Hida

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Publisher : World Scientific
ISBN 13 : 9814492914
Total Pages : 496 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Selected Papers Of Takeyuki Hida by : Luigi Accardi

Download or read book Selected Papers Of Takeyuki Hida written by Luigi Accardi and published by World Scientific. This book was released on 2001-04-02 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Selected Papers of Takeyuki Hida

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (847 download)

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Book Synopsis Selected Papers of Takeyuki Hida by : Luigi Accardi

Download or read book Selected Papers of Takeyuki Hida written by Luigi Accardi and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. 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.

Stochastic Analysis: Classical and Quantum

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Publisher :
ISBN 13 : 9814479179
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Stochastic Analysis: Classical and Quantum by :

Download or read book Stochastic Analysis: Classical and Quantum written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Analysis of Random Phenomena

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Publisher :
ISBN 13 : 9814475696
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Mathematical Analysis of Random Phenomena by :

Download or read book Mathematical Analysis of Random Phenomena written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Analysis of Random Phenomena

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Publisher : World Scientific
ISBN 13 : 9812706038
Total Pages : 241 pages
Book Rating : 4.8/5 (127 download)

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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.

Introduction to Hida Distributions

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Publisher : World Scientific
ISBN 13 : 9812836888
Total Pages : 268 pages
Book Rating : 4.8/5 (128 download)

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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.

Quantum Bio-informatics III

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Publisher : World Scientific
ISBN 13 : 9814304050
Total Pages : 512 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Quantum Bio-informatics III by : Luigi Accardi

Download or read book Quantum Bio-informatics III written by Luigi Accardi and published by World Scientific. This book was released on 2010 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this proceedings volume is to look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, research for new paradigms for information and life sciences on the basis of quantum theory. The main areas in this volume are all related to one of the following subjects: (1) quantum information, (2) bio-informatics and (3) the interrelation between (1) and (2).

Quantum Bio-informatics

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Publisher : World Scientific
ISBN 13 : 981279316X
Total Pages : 469 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Quantum Bio-informatics by : Luigi Accardi

Download or read book Quantum Bio-informatics written by Luigi Accardi and published by World Scientific. This book was released on 2008 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is examine bio-informatics and quantum information, which are growing rapidly at present, and to attempt to connect the two, with a view to enumerating and solving the many fundamental problems they entail. To this end, we look for interdisciplinary bridges in mathematics, physics, and information and life sciences. In particular, research into a new paradigm for information science and life science on the basis of quantum theory is emphasized.

Quantum Probability and Infinite Dimensional Analysis

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Publisher : World Scientific
ISBN 13 : 9814295434
Total Pages : 314 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Quantum Probability and Infinite Dimensional Analysis by : Habib Ouerdiane

Download or read book Quantum Probability and Infinite Dimensional Analysis written by Habib Ouerdiane and published by World Scientific. This book was released on 2010 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the central extensions of the Heisenberg algebra / L. Accardi & A. Boukas -- Representations of the Lévy-Meixner oscillator algebra and the overcompleteness of the associated sequences of coherent states / A. Barhoumi, H. Ouerdiane & A. Riahi -- Some systems of dualities in white noise analysis / T. Hida -- Quantum white noise derivatives and associated differential equations for white noise operators / U.C. Ji & N. Obata -- The Gibbs conditioning principle for white noise distributions : interacting and non-interacting cases / F. Cipriano, S. Gheryani & H. Ouerdiane -- Markov triplets on CAR algebras / J. Pitrik -- Quantum Fokker-Planck models : limiting case in the Lindblad condition / F. Fagnola & L. Neumann -- Generalized Euler heat equation / A. Barhoumi, H. Ouerdiane & H. Rguigui -- On quantum De Finetti's theorems / V. Crismale & Y.G. Lu -- Kolmogorovian model for EPR-experiment / D. Avis [und weitere] -- Free white noise stochastic equation / L. Accardi, W. Ayed & H. Ouerdiane -- Lévy models robustness and sensitivity / F.E. Benth, G. Di Nunno & A. Khedher -- Quantum heat equation with quantum K-Gross Laplacian : solutions and integral representation / S. Horrigue & H. Ouerdiane -- On Marginal Markov processes of quantum quadratic stochastic processes / F. Mukhamedov -- On the applicability of multiplicative renormalization method for certain power functions / I. Kubo, H.-H. Kuo & S. Namli -- Convolution equation : solution and probabilistic representation / J.L. Da Silva, M. Erraoui & H. Ouerdiane -- From classical to quantum entropy production / F. Fagnola & R. Rebolledo -- Extending the set of quadratic exponential vectors / L. Accardi, A. Dhahri & M. Skeide -- On operator-parameter transforms based on nuclear algebra of entire functions and applications / A. Barhoumi [und weitere] -- Dissipative quantum annealing / D. de Falco, E. Pertoso & D. Tamascelli

Quantum Probability and Infinite Dimensional Analysis

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Publisher :
ISBN 13 : 9814465631
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Download or read book Quantum Probability and Infinite Dimensional Analysis written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Information and Computing

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Publisher :
ISBN 13 : 981447892X
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Information and Computing by :

Download or read book Quantum Information and Computing written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Partial Differential Equations and Applications - VII

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Publisher : CRC Press
ISBN 13 : 9781420028720
Total Pages : 347 pages
Book Rating : 4.0/5 (287 download)

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Book Synopsis Stochastic Partial Differential Equations and Applications - VII by : Giuseppe Da Prato

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 347 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 book presents valuable information for PhD students in probability and PDEs as well as for researchers in pure and applied mathematics. Coverage includes Navier-Stokes equations, Ornstein-Uhlenbeck semigroups, quantum stochastic differential equations, applications of SPDE, 3D stochastic Navier-Stokes equations, and nonlinear filtering.

Harmonic, Wavelet and P-Adic Analysis

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Publisher :
ISBN 13 : 9814476005
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Download or read book Harmonic, Wavelet and P-Adic Analysis written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Garden of Quanta

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Publisher : World Scientific
ISBN 13 : 9814485519
Total Pages : 524 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis A Garden of Quanta by : J Arafune

Download or read book A Garden of Quanta written by J Arafune and published by World Scientific. This book was released on 2003-07-01 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of reviews and essays about the recent wide-ranging developments in the areas of quantum physics. The articles have mostly been written at the graduate level, but some are accessible to advanced undergraduates. They will serve as good introductions for beginning graduate students in quantum physics who are looking for directions. Aspects of mathematical physics, quantum field theories and statistical physics are emphasized. Contents:Quantum MechanicsPath Integrals and Stochastic ProcessesQuantum Field TheoryStatistical MechanicsMathematical ProblemsHistory Readership: Upper level undergraduates, graduate students and researchers in quantum, mathematical, theoretical and statistical physics. Keywords:Mathematical Structure;Path Integrals;Stochastic Processes;Non-Relativistic QED;Algebraic Approach;Thermal Field Theories;String Theory;Critical Phenomena;Renormalization Groups

Stochastic Analysis and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3540708472
Total Pages : 672 pages
Book Rating : 4.5/5 (47 download)

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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.

Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads

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Publisher :
ISBN 13 : 9814486507
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads by :

Download or read book Non-Commutativity, Infinite-Dimensionality and Probability at the Crossroads written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: