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

Author: Christopher C Bernido

Publisher: World Scientific

Published: 2014-11-27

Total Pages: 202

ISBN-13: 9814569135

DOWNLOAD EBOOK

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

Author: Luigi Accardi

Publisher: World Scientific

Published: 2017-08-29

Total Pages: 243

ISBN-13: 9813225475

DOWNLOAD EBOOK

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

Author: Takeyuki Hida

Publisher: World Scientific

Published: 2017-03-10

Total Pages: 230

ISBN-13: 9813220953

DOWNLOAD EBOOK

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

Author: Christopher C. Bernido

Publisher: Birkhäuser

Published: 2016-08-10

Total Pages: 304

ISBN-13: 3319072455

DOWNLOAD EBOOK

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

Author: Monica G. Cojocaru

Publisher: Springer

Published: 2015-07-03

Total Pages: 538

ISBN-13: 3319123076

DOWNLOAD EBOOK

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.

New Trends and Advanced Methods in Interdisciplinary Mathematical Sciences
New Trends and Advanced Methods in Interdisciplinary Mathematical Sciences

Author: Bourama Toni

Publisher: Springer

Published: 2017-07-05

Total Pages: 365

ISBN-13: 3319556126

DOWNLOAD EBOOK

The latest of five multidisciplinary volumes, this book spans the STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) disciplines with the intent to generate meaningful interdisciplinary interaction and student interest. Emphasis is placed on important methods and applications within and beyond each field. Topics include geometric triple systems, image segmentation, pattern recognition in medicine, pricing barrier options, p-adic numbers distribution in geophysics data pattern, adelic physics, and evolutionary game theory. Contributions were by invitation only and peer-reviewed. Each chapter is reasonably self-contained and pedagogically presented for a multidisciplinary readership.

Mathematical Methods in Interdisciplinary Sciences
Mathematical Methods in Interdisciplinary Sciences

Author: Snehashish Chakraverty

Publisher: John Wiley & Sons

Published: 2020-06-15

Total Pages: 464

ISBN-13: 1119585651

DOWNLOAD EBOOK

Brings mathematics to bear on your real-world, scientific problems Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems. The collection of chapters Dr. Snehashish Chakraverty has provided describe in detail how to bring mathematics, statistics, and computational methods to the fore to solve even the most stubborn problems involving the intersection of multiple fields of study. Graduate students, postgraduate students, researchers, and professors will all benefit significantly from the author's clear approach to applied mathematics. The book covers a wide range of interdisciplinary topics in which mathematics can be brought to bear on challenging problems requiring creative solutions. Subjects include: Structural static and vibration problems Heat conduction and diffusion problems Fluid dynamics problems The book also covers topics as diverse as soft computing and machine intelligence. It concludes with examinations of various fields of application, like infectious diseases, autonomous car and monotone inclusion problems.

Interdisciplinary Research and Applications in Bioinformatics, Computational Biology, and Environmental Sciences
Interdisciplinary Research and Applications in Bioinformatics, Computational Biology, and Environmental Sciences

Author: Liu, Limin Angela

Publisher: IGI Global

Published: 2010-10-31

Total Pages: 396

ISBN-13: 1609600665

DOWNLOAD EBOOK

"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.

Advances in Interdisciplinary Mathematical Research
Advances in Interdisciplinary Mathematical Research

Author: Bourama Toni

Publisher: Springer Science & Business Media

Published: 2014-07-08

Total Pages: 296

ISBN-13: 1461463459

DOWNLOAD EBOOK

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.