An Introduction To Random Currents And Their Applications
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Author | : Vincenzo Capasso |
Publisher | : Springer |
Total Pages | : 146 |
Release | : 2018-08-02 |
Genre | : Mathematics |
ISBN | : 3319945777 |
This book introduces random currents by presenting underlying mathematical methods necessary for applications. The theory of currents is an advanced topic in geometric measure theory that extends distribution to linear functionals within the space of differential forms of any order. Methods to extend random distributions to random currents are introduced and analyzed in this book. Beginning with an overview of mathematical aspects of the theory of currents, this book moves on to examine applications in medicine, material science, and image analysis. Applied researchers will find the practical modern mathematical methods along with the detailed appendix useful to stimulate new applications and research.
Author | : Giacomo Livan |
Publisher | : Springer |
Total Pages | : 122 |
Release | : 2018-01-16 |
Genre | : Science |
ISBN | : 3319708856 |
Modern developments of Random Matrix Theory as well as pedagogical approaches to the standard core of the discipline are surprisingly hard to find in a well-organized, readable and user-friendly fashion. This slim and agile book, written in a pedagogical and hands-on style, without sacrificing formal rigor fills this gap. It brings Ph.D. students in Physics, as well as more senior practitioners, through the standard tools and results on random matrices, with an eye on most recent developments that are not usually covered in introductory texts. The focus is mainly on random matrices with real spectrum.The main guiding threads throughout the book are the Gaussian Ensembles. In particular, Wigner’s semicircle law is derived multiple times to illustrate several techniques (e.g., Coulomb gas approach, replica theory).Most chapters are accompanied by Matlab codes (stored in an online repository) to guide readers through the numerical check of most analytical results.
Author | : Greg W. Anderson |
Publisher | : Cambridge University Press |
Total Pages | : 507 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0521194520 |
A rigorous introduction to the basic theory of random matrices designed for graduate students with a background in probability theory.
Author | : Yonina C. Eldar |
Publisher | : Cambridge University Press |
Total Pages | : 557 |
Release | : 2012-05-17 |
Genre | : Technology & Engineering |
ISBN | : 1107394392 |
Compressed sensing is an exciting, rapidly growing field, attracting considerable attention in electrical engineering, applied mathematics, statistics and computer science. This book provides the first detailed introduction to the subject, highlighting theoretical advances and a range of applications, as well as outlining numerous remaining research challenges. After a thorough review of the basic theory, many cutting-edge techniques are presented, including advanced signal modeling, sub-Nyquist sampling of analog signals, non-asymptotic analysis of random matrices, adaptive sensing, greedy algorithms and use of graphical models. All chapters are written by leading researchers in the field, and consistent style and notation are utilized throughout. Key background information and clear definitions make this an ideal resource for researchers, graduate students and practitioners wanting to join this exciting research area. It can also serve as a supplementary textbook for courses on computer vision, coding theory, signal processing, image processing and algorithms for efficient data processing.
Author | : Gandhimohan. M. Viswanathan |
Publisher | : Cambridge University Press |
Total Pages | : 179 |
Release | : 2011-06-02 |
Genre | : Science |
ISBN | : 1139497553 |
Do the movements of animals, including humans, follow patterns that can be described quantitatively by simple laws of motion? If so, then why? These questions have attracted the attention of scientists in many disciplines, and stimulated debates ranging from ecological matters to queries such as 'how can there be free will if one follows a law of motion?' This is the first book on this rapidly evolving subject, introducing random searches and foraging in a way that can be understood by readers without a previous background on the subject. It reviews theory as well as experiment, addresses open problems and perspectives, and discusses applications ranging from the colonization of Madagascar by Austronesians to the diffusion of genetically modified crops. The book will interest physicists working in the field of anomalous diffusion and movement ecology as well as ecologists already familiar with the concepts and methods of statistical physics.
Author | : El Sheikh, Asim |
Publisher | : IGI Global |
Total Pages | : 466 |
Release | : 2007-08-31 |
Genre | : Computers |
ISBN | : 1599042002 |
"This book offers insight into the computer science aspect of simulation and modeling while integrating the business practices of SM. It includes current issues related to simulation, such as: Web-based simulation, virtual reality, augmented reality, and artificial intelligence, combining different methods, views, theories, and applications of simulations in one volume"--Provided by publisher.
Author | : Kenneth A. Mooney |
Publisher | : |
Total Pages | : 86 |
Release | : 1982 |
Genre | : Ocean circulation |
ISBN | : |
A method employing two-dimensional spline fits of spatially and temporally random hydrographic data is developed in order to be able to determine seasonally averaged geostrophic currents. The method is used in an analysis of the currents in the Southern California Bight. (Author).
Author | : Luca Maria Aiello |
Publisher | : Springer |
Total Pages | : 906 |
Release | : 2018-12-01 |
Genre | : Technology & Engineering |
ISBN | : 303005411X |
This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students and practitioners a unique update on the latest advances in theory, together with a wealth of applications. It presents the peer-reviewed proceedings of the VII International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2018), which was held in Cambridge on December 11–13, 2018. The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure and network dynamics; diffusion, epidemics and spreading processes; and resilience and control; as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks; and technological networks.
Author | : Alan Frieze |
Publisher | : Cambridge University Press |
Total Pages | : 483 |
Release | : 2016 |
Genre | : Mathematics |
ISBN | : 1107118506 |
The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.
Author | : Bernard Dieny |
Publisher | : John Wiley & Sons |
Total Pages | : 277 |
Release | : 2016-12-12 |
Genre | : Science |
ISBN | : 111900974X |
Magnetic random-access memory (MRAM) is poised to replace traditional computer memory based on complementary metal-oxide semiconductors (CMOS). MRAM will surpass all other types of memory devices in terms of nonvolatility, low energy dissipation, fast switching speed, radiation hardness, and durability. Although toggle-MRAM is currently a commercial product, it is clear that future developments in MRAM will be based on spin-transfer torque, which makes use of electrons’ spin angular momentum instead of their charge. MRAM will require an amalgamation of magnetics and microelectronics technologies. However, researchers and developers in magnetics and in microelectronics attend different technical conferences, publish in different journals, use different tools, and have different backgrounds in condensed-matter physics, electrical engineering, and materials science. This book is an introduction to MRAM for microelectronics engineers written by specialists in magnetic materials and devices. It presents the basic phenomena involved in MRAM, the materials and film stacks being used, the basic principles of the various types of MRAM (toggle and spin-transfer torque; magnetized in-plane or perpendicular-to-plane), the back-end magnetic technology, and recent developments toward logic-in-memory architectures. It helps bridge the cultural gap between the microelectronics and magnetics communities.