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Introduction To Hida Distributions
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Book Synopsis Introduction to Hida Distributions by :
Download or read book Introduction to Hida Distributions written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Mathematical Approach To Fluctuations - Proceedings Of The Kyoto Workshop by : Takeyuki Hida
Download or read book Mathematical Approach To Fluctuations - Proceedings Of The Kyoto Workshop written by Takeyuki Hida and published by World Scientific. This book was released on 1994-02-07 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
Book Synopsis Quantum Probability and Infinite Dimensional Analysis by :
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:
Book Synopsis Stochastic Calculus for Fractional Brownian Motion and Applications by : Francesca Biagini
Download or read book Stochastic Calculus for Fractional Brownian Motion and Applications written by Francesca Biagini and published by Springer Science & Business Media. This book was released on 2008-02-17 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory. Particular emphasis is placed on studying the relations between the different approaches. Readers are assumed to be familiar with probability theory and stochastic analysis, although the mathematical techniques used in the book are thoroughly exposed and some of the necessary prerequisites, such as classical white noise theory and fractional calculus, are recalled in the appendices. This book will be a valuable reference for graduate students and researchers in mathematics, biology, meteorology, physics, engineering and finance.
Book Synopsis Quantum Probability and Related Topics by : Rolando Rebolledo
Download or read book Quantum Probability and Related Topics written by Rolando Rebolledo and published by World Scientific. This book was released on 2011 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.
Book Synopsis Quantum Probability and Related Topics by : Luigi Accardi
Download or read book Quantum Probability and Related Topics written by Luigi Accardi and published by World Scientific. This book was released on 2013 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory. This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications. Tools and techniques presented here will be of great value to researchers.
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: Classical and quantum conditioning : mathematical and information theoretical aspects / L. Accardi -- Dynamics and potentials / F. Araki -- Kossakowski-Ohya teleportation scheme and its applications / M. Asano, M. Ohya and Y. Tanaka -- Utility and value of information in cognitive science, biology and quantum theory / R.V. Belavkin -- Spectral properties of entanglement witnesses and positive maps / D. Chruściński -- Quantum entanglement and multipartite symmetric states / D. Chruściński -- On a quantum model of brain activities / K.-H. Fichtner [und weitere] -- Some of the recent topics in white noise theory / T. Hida -- Note on generalized white noise functionals / T. Hida -- On estimation of the position distribution of the ideal Bose gas / K.-H. Fichtner, K. Inoue and M. Ohya -- On generalization of quantum mutual entropy by using liftings / S. Iriyama and M. Ohya -- A new approach to stroboscopic tomography of open systems / A. Jamiolkowski -- An introduction to frames and their applications to quantum optics / A. Jamiolkowski -- Memory in a nonlocally damped oscillator / D. Chruściński and J. Jurkowski -- An introduction to quantization of dissipative systems. The damped harmonic oscillator case / J. Jurkowski -- Classical and quantum probability for biologists - introduction / A. Khrennikov -- 2-adic degeneration of the genetic code and energy of binding of codons / A. Yu. Khrennikov and S.V. Kozyrev -- On positive maps; PPT states and entanglement / W.A. Majewski -- Detecting entanglement in spin lattice models / M. Michalski -- How to detect entanglement in quantum systems / M. Michalskii -- Tunneling study on high-T[symbol] superconductors / M. Minematsu, S. Kawashima and N. Miyakawa -- Quantum dynamics of superconducting qubit readout with a driven nonlinear Josephson oscillator / H. Nakano -- Roles of asymptotic condition and S-matrix as micro-macro duality in QFT / I. Ojima -- Gaussian Markov triplets / D. Petz and J. Pitrik -- pre-mRNA introns as a model for cryptographic algorithm : theory and experiments / M. Regoli -- Duality arising from multiple Markov Gaussian processes / Si Si and W.W. Htay -- Novel computational approaches to drug discovery / J. Skolnick and M. Brylinski -- Feynman type formulae for quantum evolution and diffusion on manifolds and graphs / O.G. Smolyanov -- Poisson noise and the dynamics of infinite particle systems / L. Streit -- Replica-exchange molecular dynamics simulations of Amyloid precursor protein dimer in membrane / N. Miyashita and Y. Sugita -- Comparison of square contingency tables using measure of departure from marginal homogeneity / K. Tahata [und weitere] -- On the statics for micro-array data analysis / T. Urushibara [und weitere] -- Functional mechanics and time irreversibility problem / I.V. Volovich -- Regulatory networks : inferring functional relationships through co-expression / D. Wanke [und weitere] -- On entropies of quantum dynamical systems / N. Watanabe -- Significant improvement of sequence alignment can be done by considering transition probability between two consecutive pairs of residues / T. Ham, K. Sato and M. Ohya -- A computational approach to explore protein translocation through Type III secretion apparatus / T. Rathinavelan and W. Im -- Carbon nanotubes for building blocks of quantum computing devices / K. Ishibashi [und weitere] -- In silico analysis for the study of botulinum toxin structure / T. Suzuki and S. Miyazaki -- Gene discovery methods from large-scale gene expression data / A. Shimizu and K. Yano
Book Synopsis Quantum Bio-Informatics V by : Luigi Accardi
Download or read book Quantum Bio-Informatics V written by Luigi Accardi and published by World Scientific. This book was released on 2013-01-25 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the fifth international conference of quantum bio-informatics held at the QBI Center of Tokyo University of Science. This volume provides a platform to connect mathematics, physics, information and life sciences, and in particular, research for new paradigm for information science and life science on the basis of quantum theory. The following topics are discussed: Cryptographic algorithmsQuantum algorithm and computationQuantum entanglementQuantum entropy and information dynamicsQuantum dynamics and time operatorStochastic dynamics and white noise analysisBrain activityQuantum-like models and PD gameQuantum physics and superconductivityQuantum tomography and sufficiencyAdaptation in PlantsAlignment of sequencesContents:Complexity Considerations Quantum Computation (Luigi Accardi)Oscillations and Rolling for Duffing's Equation (Irina Ya Aref'eva, Evgeny V Piskovskiy and Igor V Volovich)A Mathematical Treatment of Joint and Conditional Probability (Masanori Asano, Masanori Ohya, Yoshiharu Tanaka, Ichiro Yamato, Irina Besieva and Andrei Khrennikov)Minimum of Information Distance Criterion for Optimal Control of Mutation Rate in Evolutionary Systems (Roman V Belavkin)On Non-Markovian Quantum Evolution (Dariusz Chruściński and Andrzej Kossakowski)Internal Noise of EEG-Measurements and Certain Boson Systems (Karl-Heinz Fichtner, Lars Fichtner, Kei Inoue and Masanori Ohya)Space – Time – Noise (Raum – Zeit – Rauschen) (Takeyuki Hida)A New Noise Depending on a Space Parameter and Its Application (Si Si and Win Win Htay)Schrödinger Type Semigroups via Feynman Formulae and All That (Oleg G Smolyanov)On Treatment of Gaussian Communication Process by Quantum Entropies (Noboru Watanabe)Signaling Networks Involving Reactive Oxygen Species and Ca2+ in Plants (Kazuyuki Kuchitsu)Energy Flow and Information Flow in Superconducting Qubit Measurement Process (Hayato Nakano)Counter-factual Phenomenon in Quantum Mechanics (Yutaka Shikano)and other papers Readership: Researchers in quantum information, quantum physics, bio-informatics and life sciences. Keywords:Quantum Information;Quantum Probability;Quantum Computer;Bioinformatics;Genes;Adaptive Dynamics;White Noise Analysis;Entanglement;Quantum Entropy;Superconductivity
Book Synopsis Quantum Bio-informatics V by : Luigi Accardi
Download or read book Quantum Bio-informatics V written by Luigi Accardi and published by World Scientific. This book was released on 2013 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the fifth international conference of quantumbio-informatics held at the QBI Center of Tokyo University of Science.This volume provides a platform to connect mathematics, physics, information and life sciences, and in particular, research for new paradigm for information science and life science on the basis of quantum theory.The following topics are discussed: Cryptographic algorithms; Quantum algorithm and computation; Quantum entanglement; Quantum entropy and information dynamics; Quantum dynamics and time operator; Stochastic dynamics and white noise analysis; Brain activity; Quantum-like models and PD game; Quantum physics and superconductivity; Quantum tomography and sufficiency; Adaptation in Plants; Alignment of sequences
Book Synopsis Quantum Probability and Related Topics by : Luigi Accardi
Download or read book Quantum Probability and Related Topics written by Luigi Accardi and published by World Scientific. This book was released on 2012-11-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory. This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications. Tools and techniques presented here will be of great value to researchers. Contents:Central Extension of Virasoro Type Subalgebras of the Zamolodchikov–w∞ Lie Algebra (L Accardi and A Boukas)Entanglement Protection and Generation Under Continuous Monitoring (A Barchielli and M Gregoratti)Completely Positive Transformations of Quantum Operations (G Chiribella, A Toigo and V Umanità)Invariant Operators in Schrödinger Setting (V K Dobrev)Generation of Semigroups by Degenerate Elliptic Operators Arising in Open Quantum Systems (F Fagnola and L Pantaleón Martínez)Quantum Observables on a Completely Simple Semigroup (Ph. Feinsilver)A Mathematical Treatment for the Contextual Dependent Bio-Systems (T Hara and M Ohya)On the Spectral Gap of the N-Photon Absorption-Emission Process (R Hermida and R Quezada)Some Recent Topics on White Noise Theory (T Hida and Si Si)Quantum Lévy Area as Quantum Martingale Limit (R L Hudson)On Computational Complexity of Quantum Algorithm for Factoring (S Iriyama, M Ohya and I V Volovich)Prequantum Classical Statistical Field Theory: Derivation of Gaussianity of Probability Distributions (A Khrennikov)A Survey on Extensions of Hilbert C*-Modules (B Kolarec)An Isometry Formula for a New Stochastic Integral (H-H Kuo, A Sae-Tang and B Szozda)Infinite Dimensional Laplacians Associated with Derivatives of White Noise (K Saitô)A New Noise Depending on a Space Parameter and Its Transformations (Si Si)Note on Complexities for Gaussian Communication Processes (N Watanabe) Readership: Researchers in stochastic analysis, quantum probability, quantum information, mathematical modeling, and probability and statistics. Keywords:Quantum Probability;Infinite Dimensional Analysis;Quantum White Noise;Quantum Markov Semigroups;Quantum Stochastic Calculus;Quantum Computation;Quantum Measurement;Quantum OperationsKey Features:Clear and quick information on hot research topicsOriginality of contributionsLeading expects in their field
Book Synopsis Let Us Use White Noise by : Hida Takeyuki
Download or read book Let Us Use White Noise written by Hida Takeyuki and published by World Scientific. This book was released on 2017-03-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis White Noise Distribution Theory by : Hui-Hsiung Kuo
Download or read book White Noise Distribution Theory written by Hui-Hsiung Kuo and published by CRC Press. This book was released on 2018-05-04 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn the basics of white noise theory with White Noise Distribution Theory. This book covers the mathematical foundation and key applications of white noise theory without requiring advanced knowledge in this area. This instructive text specifically focuses on relevant application topics such as integral kernel operators, Fourier transforms, Laplacian operators, white noise integration, Feynman integrals, and positive generalized functions. Extremely well-written by one of the field's leading researchers, White Noise Distribution Theory is destined to become the definitive introductory resource on this challenging topic.
Book Synopsis Probability on Algebraic Structures by : Gregory Budzban
Download or read book Probability on Algebraic Structures written by Gregory Budzban and published by American Mathematical Soc.. This book was released on 2000 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). Papers included are written by an international group of well-known specialists who offer an important cross-section of current work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area. The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and semigroups of matrices. Work on symmetric cones is included. Lastly, there are a number of articles on the current progress in constructing stochastic processes on quantum groups.
Book Synopsis Dynamics Of Complex And Irregular Systems - Bielefeld Encounters In Mathematics And Physics Viii by : P H Blanchard
Download or read book Dynamics Of Complex And Irregular Systems - Bielefeld Encounters In Mathematics And Physics Viii written by P H Blanchard and published by World Scientific. This book was released on 1993-10-29 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in this volume cover a number of different aspects of stochastic analysis, probability theory, quantum field theory, functional integration, ergodic theory, quantum theory, statistical modelling, random graph theory and percolation theory. The lectures also point out strong interactions between various fields: the fertility of the relations between probability theory and quantum theory and the intriguing and economical way of deriving the classical standard model by using non-commutative geometry, in the approach proposed by connes and lott.
Book Synopsis Stochastic Analysis and Related Topics by : J.E. Lindstrom
Download or read book Stochastic Analysis and Related Topics written by J.E. Lindstrom and published by CRC Press. This book was released on 1993-12-08 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1993. Routledge is an imprint of Taylor & Francis, an informa company.