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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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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 Analysis And Quantum Information


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

White Noise Analysis And Quantum Information written by Luigi Accardi 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 Mathematics 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.



Let Us Use White Noise


Let Us Use White Noise
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Author : Takeyuki Hida
language : en
Publisher: World Scientific
Release Date : 2017-03-10

Let Us Use White Noise 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 2017-03-10 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.



Stochastic And Infinite Dimensional Analysis


Stochastic And Infinite Dimensional Analysis
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Author : Christopher C. Bernido
language : en
Publisher: Birkhäuser
Release Date : 2016-08-10

Stochastic And Infinite Dimensional Analysis written by Christopher C. Bernido and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-10 with Mathematics categories.


This volume presents a collection of papers covering applications from a wide range of systems with infinitely many degrees of freedom studied using techniques from stochastic and infinite dimensional analysis, e.g. Feynman path integrals, the statistical mechanics of polymer chains, complex networks, and quantum field theory. Systems of infinitely many degrees of freedom create their particular mathematical challenges which have been addressed by different mathematical theories, namely in the theories of stochastic processes, Malliavin calculus, and especially white noise analysis. These proceedings are inspired by a conference held on the occasion of Prof. Ludwig Streit’s 75th birthday and celebrate his pioneering and ongoing work in these fields.



Interdisciplinary Topics In Applied Mathematics Modeling And Computational Science


Interdisciplinary Topics In Applied Mathematics Modeling And Computational Science
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Author : Monica G. Cojocaru
language : en
Publisher: Springer
Release Date : 2015-07-03

Interdisciplinary Topics In Applied Mathematics Modeling And Computational Science written by Monica G. Cojocaru and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-03 with Computers categories.


The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26—30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics and its areas of applications.



Interdisciplinary Research And Applications In Bioinformatics Computational Biology And Environmental Sciences


Interdisciplinary Research And Applications In Bioinformatics Computational Biology And Environmental Sciences
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Author : Liu, Limin Angela
language : en
Publisher: IGI Global
Release Date : 2010-10-31

Interdisciplinary Research And Applications In Bioinformatics Computational Biology And Environmental Sciences written by Liu, Limin Angela and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-31 with Computers categories.


"This book presents cutting-edge research in the field of computational and systems biology, presenting studies ranging from the atomic/molecular level to the genomic level and covering a wide spectrum of important biological problems and applications"--Provided by publisher.



Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1995

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Aeronautics categories.




Advances In Interdisciplinary Mathematical Research


Advances In Interdisciplinary Mathematical Research
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Author : Bourama Toni
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08

Advances In Interdisciplinary Mathematical Research written by Bourama Toni 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 2014-07-08 with Mathematics categories.


This volume contains the invited contributions to the Spring 2012 seminar series at Virginia State University on Mathematical Sciences and Applications. It is a thematic continuation of work presented in Volume 24 of the Springer Proceedings in Mathematics & Statistics series. Contributors present their own work as leading researchers to advance their specific fields and induce a genuine interdisciplinary interaction. Thus all articles therein are selective, self-contained, and are pedagogically exposed to foster student interest in science, technology, engineering and mathematics, stimulate graduate and undergraduate research, as well as collaboration between researchers from different areas. The volume features new advances in mathematical research and its applications: anti-periodicity; almost stochastic difference equations; absolute and conditional stability in delayed equations; gamma-convergence and applications to block copolymer morphology; the dynamics of collision and near-collision in celestial mechanics; almost and pseudo-almost limit cycles; rainbows in spheres and connections to ray, wave and potential scattering theory; null-controllability of the heat equation with constraints; optimal control for systems subjected to null-controllability; the Galerkin method for heat transfer in closed channels; wavelet transforms for real-time noise cancellation; signal, image processing and machine learning in medicine and biology; methodology for research on durability, reliability, damage tolerance of aerospace materials and structures at NASA Langley Research Center. The volume is suitable and valuable for mathematicians, scientists and research students in a variety of interdisciplinary fields, namely physical and life sciences, engineering and technology including structures and materials sciences, computer science for signal, image processing and machine learning in medicine.



Computational Science And Its Applications Iccsa 2017


Computational Science And Its Applications Iccsa 2017
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Author : Osvaldo Gervasi
language : en
Publisher: Springer
Release Date : 2017-07-04

Computational Science And Its Applications Iccsa 2017 written by Osvaldo Gervasi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-04 with Computers categories.


The six-volume set LNCS 10404-10409 constitutes the refereed proceedings of the 17th International Conference on Computational Science and Its Applications, ICCSA 2017, held in Trieste, Italy, in July 2017. The 313 full papers and 12 short papers included in the 6-volume proceedings set were carefully reviewed and selected from 1052 submissions. Apart from the general tracks, ICCSA 2017 included 43 international workshops in various areas of computational sciences, ranging from computational science technologies to specific areas of computational sciences, such as computer graphics and virtual reality. Furthermore, this year ICCSA 2017 hosted the XIV International Workshop On Quantum Reactive Scattering. The program also featured 3 keynote speeches and 4 tutorials.





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Author :
language : en
Publisher:
Release Date : 1989

written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.