Correlated Random Systems PDF Download
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Author | : Véronique Gayrard |
Publisher | : Springer |
Total Pages | : 213 |
Release | : 2015-06-09 |
Genre | : Mathematics |
ISBN | : 3319176749 |
Download Correlated Random Systems: Five Different Methods Book in PDF, ePub and Kindle
This volume presents five different methods recently developed to tackle the large scale behavior of highly correlated random systems, such as spin glasses, random polymers, local times and loop soups and random matrices. These methods, presented in a series of lectures delivered within the Jean-Morlet initiative (Spring 2013), play a fundamental role in the current development of probability theory and statistical mechanics. The lectures were: Random Polymers by E. Bolthausen, Spontaneous Replica Symmetry Breaking and Interpolation Methods by F. Guerra, Derrida's Random Energy Models by N. Kistler, Isomorphism Theorems by J. Rosen and Spectral Properties of Wigner Matrices by B. Schlein. This book is the first in a co-edition between the Jean-Morlet Chair at CIRM and the Springer Lecture Notes in Mathematics which aims to collect together courses and lectures on cutting-edge subjects given during the term of the Jean-Morlet Chair, as well as new material produced in its wake. It is targeted at researchers, in particular PhD students and postdocs, working in probability theory and statistical physics.
Author | : Véronique Gayrard |
Publisher | : |
Total Pages | : 205 |
Release | : 2015 |
Genre | : |
ISBN | : 9782856298107 |
Download Correlated Random Systems Book in PDF, ePub and Kindle
Author | : J. R. Cogdell |
Publisher | : Pearson Prentice Hall |
Total Pages | : 728 |
Release | : 2004 |
Genre | : Computers |
ISBN | : |
Download Modeling Random Systems Book in PDF, ePub and Kindle
For undergraduate courses in probability, statistics, and random processes in Engineering, especially Electrical Engineering. This text equips students in engineering and other technical areas to understand, analyze, and design systems that have random aspects. Material on probability, statistics, and random processes is presented in a style that appeals to engineering interests and avoids excessive mathematical development. The unifying concept throughout the book is "modeling": probability is defined as a model for data, expectations model averages, the various distributions model real-world situations, random processes model analog and digital information-bearing signals, and white noise models wideband noise from physical processes.
Author | : A.M. Yaglom |
Publisher | : Springer Science & Business Media |
Total Pages | : 267 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461246288 |
Download Correlation Theory of Stationary and Related Random Functions Book in PDF, ePub and Kindle
Correlation Theory of Stationary and Related Random Functions is an elementary introduction to the most important part of the theory dealing only with the first and second moments of these functions. This theory is a significant part of modern probability theory and offers both intrinsic mathematical interest and many concrete and practical applications. Stationary random functions arise in connection with stationary time series which are so important in many areas of engineering and other applications. This book presents the theory in such a way that it can be understood by readers without specialized mathematical backgrounds, requiring only the knowledge of elementary calculus. The first volume in this two-volume exposition contains the main theory; the supplementary notes and references of the second volume consist of detailed discussions of more specialized questions, some more additional material (which assumes a more thorough mathematical background than the rest of the book) and numerous references to the extensive literature.
Author | : |
Publisher | : |
Total Pages | : 60 |
Release | : 1972 |
Genre | : |
ISBN | : |
Download Control Theory for Random Systems Book in PDF, ePub and Kindle
Author | : Alexei M. Tsvelik |
Publisher | : Springer Science & Business Media |
Total Pages | : 308 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9401008388 |
Download New Theoretical Approaches to Strongly Correlated Systems Book in PDF, ePub and Kindle
For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results. Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.
Author | : Isaac Elishakoff |
Publisher | : Springer Nature |
Total Pages | : 356 |
Release | : 2020-04-11 |
Genre | : Technology & Engineering |
ISBN | : 3030403947 |
Download Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells Book in PDF, ePub and Kindle
This volume explains the dramatic effect of cross-correlations in forming the structural response of aircraft in turbulent excitation, ships in rough seas, cars on irregular roads, and other dynamic regimes. It brings into sharp focus the dramatic effect of cross correlations often neglected due to the analytical difficulty of their evaluation. Veteran author Professor Isaac Elishakoff illustrates how neglect of cross correlations could result in underestimation of the response by tens or hundreds of percentages the effect of the random vibrations of structures’ main elements, including beams, plates, and shells.
Author | : Harry L. Hurd |
Publisher | : John Wiley & Sons |
Total Pages | : 384 |
Release | : 2007-11-09 |
Genre | : Mathematics |
ISBN | : 9780470182826 |
Download Periodically Correlated Random Sequences Book in PDF, ePub and Kindle
Uniquely combining theory, application, and computing, this book explores the spectral approach to time series analysis The use of periodically correlated (or cyclostationary) processes has become increasingly popular in a range of research areas such as meteorology, climate, communications, economics, and machine diagnostics. Periodically Correlated Random Sequences presents the main ideas of these processes through the use of basic definitions along with motivating, insightful, and illustrative examples. Extensive coverage of key concepts is provided, including second-order theory, Hilbert spaces, Fourier theory, and the spectral theory of harmonizable sequences. The authors also provide a paradigm for nonparametric time series analysis including tests for the presence of PC structures. Features of the book include: An emphasis on the link between the spectral theory of unitary operators and the correlation structure of PC sequences A discussion of the issues relating to nonparametric time series analysis for PC sequences, including estimation of the mean, correlation, and spectrum A balanced blend of historical background with modern application-specific references to periodically correlated processes An accompanying Web site that features additional exercises as well as data sets and programs written in MATLAB® for performing time series analysis on data that may have a PC structure Periodically Correlated Random Sequences is an ideal text on time series analysis for graduate-level statistics and engineering students who have previous experience in second-order stochastic processes (Hilbert space), vector spaces, random processes, and probability. This book also serves as a valuable reference for research statisticians and practitioners in areas of probability and statistics such as time series analysis, stochastic processes, and prediction theory.
Author | : Pierluigi Contucci |
Publisher | : Cambridge University Press |
Total Pages | : 383 |
Release | : 2017 |
Genre | : Science |
ISBN | : 1107124107 |
Download Advances in Disordered Systems, Random Processes and Some Applications Book in PDF, ePub and Kindle
This book offers a unified perspective on the study of complex systems with contributions written by leading scientists from various disciplines, including mathematics, physics, computer science, biology, economics and social science. It is written for researchers from a broad range of scientific fields with an interest in recent developments in complex systems.
Author | : Edgard Mauricio Hurtado Medina |
Publisher | : |
Total Pages | : |
Release | : 2019* |
Genre | : |
ISBN | : |
Download A Metaheuristic Approach for Correlated Random Vector Generation Book in PDF, ePub and Kindle
The generation of correlated random variables is relevant in the stochastic simulation of financial and manufacturing systems, among many other applications. The generally accepted techniques to generate correlated multivariate observations rely on the mathematical attributes of the probability density functions of the random variables. In this paper, we propose a new approach based on Iterated Local Search (ILS) that induces a desired correlation structure to multivariate random data independent of the probability density function of the input variables. The proposed methodology improves the quality of the results found by the Iman and Conover method ? currently used in commercial simulators such as Crystal Ball ? at a low computational cost.