Correlated Random Systems

Author : Véronique Gayrard,Nicola Kistler
Publisher : Springer
Page : 208 pages
File Size : 49,7 Mb
Release : 2015-06-09
Category : Mathematics
ISBN : 9783319176741

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Correlated Random Systems: Five Different Methods by Véronique Gayrard,Nicola Kistler Pdf

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,Nicole Kistler
Publisher : Unknown
Page : 205 pages
File Size : 53,5 Mb
Release : 2015
Category : Electronic
ISBN : 2856298109

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Correlated Random Systems by Véronique Gayrard,Nicole Kistler Pdf

Author : Pierluigi Contucci,Cristian Giardinà
Publisher : Cambridge University Press
Page : 383 pages
File Size : 55,6 Mb
Release : 2016-12-15
Category : Science
ISBN : 9781107124103

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Advances in Disordered Systems, Random Processes and Some Applications by Pierluigi Contucci,Cristian Giardinà Pdf

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 : A.M. Yaglom
Publisher : Springer Science & Business Media
Page : 267 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461246282

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Correlation Theory of Stationary and Related Random Functions by A.M. Yaglom Pdf

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 : Isaac Elishakoff
Publisher : Springer Nature
Page : 356 pages
File Size : 53,5 Mb
Release : 2020-04-11
Category : Technology & Engineering
ISBN : 9783030403942

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Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells by Isaac Elishakoff Pdf

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 : J. R. Cogdell
Publisher : Pearson Prentice Hall
Page : 728 pages
File Size : 41,8 Mb
Release : 2004
Category : Computers
ISBN : UCSC:32106017196905

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Modeling Random Systems by J. R. Cogdell Pdf

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 : Anton Bovier,David Brydges,Amin Coja-Oghlan,Dmitry Ioffe,Gregory F. Lawler
Publisher : Springer
Page : 239 pages
File Size : 53,7 Mb
Release : 2015-09-21
Category : Science
ISBN : 9783319193397

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Random Walks, Random Fields, and Disordered Systems by Anton Bovier,David Brydges,Amin Coja-Oghlan,Dmitry Ioffe,Gregory F. Lawler Pdf

Focusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area. The common ground of these subjects is perhaps best described by the three terms in the title: Random Walks, Random Fields and Disordered Systems. The specific topics covered include a study of Branching Brownian Motion from the perspective of disordered (spin-glass) systems, a detailed analysis of weakly self-avoiding random walks in four spatial dimensions via methods of field theory and the renormalization group, a study of phase transitions in disordered discrete structures using a rigorous version of the cavity method, a survey of recent work on interacting polymers in the ballisticity regime and, finally, a treatise on two-dimensional loop-soup models and their connection to conformally invariant systems and the Gaussian Free Field. The notes are aimed at early graduate students with a modest background in probability and mathematical physics, although they could also be enjoyed by seasoned researchers interested in learning about recent advances in the above fields.

Author : Alexei M. Tsvelik
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401008389

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New Theoretical Approaches to Strongly Correlated Systems by Alexei M. Tsvelik Pdf

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 : Véronique Gayrard,Louis-Pierre Arguin,Nicola Kistler,Irina Kourkova
Publisher : Springer Nature
Page : 279 pages
File Size : 40,8 Mb
Release : 2019-09-15
Category : Mathematics
ISBN : 9783030290771

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Statistical Mechanics of Classical and Disordered Systems by Véronique Gayrard,Louis-Pierre Arguin,Nicola Kistler,Irina Kourkova Pdf

These proceedings of the conference Advances in Statistical Mechanics, held in Marseille, France, August 2018, focus on fundamental issues of equilibrium and non-equilibrium dynamics for classical mechanical systems, as well as on open problems in statistical mechanics related to probability, mathematical physics, computer science, and biology. Statistical mechanics, as envisioned more than a century ago by Boltzmann, Maxwell and Gibbs, has recently undergone stunning twists and developments which have turned this old discipline into one of the most active areas of truly interdisciplinary and cutting-edge research. The contributions to this volume, with their rather unique blend of rigorous mathematics and applications, outline the state-of-the-art of this success story in key subject areas of equilibrium and non-equilibrium classical and quantum statistical mechanics of both disordered and non-disordered systems. Aimed at researchers in the broad field of applied modern probability theory, this book, and in particular the review articles, will also be of interest to graduate students looking for a gentle introduction to active topics of current research.

Author : Harry L. Hurd,Abolghassem Miamee
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 45,5 Mb
Release : 2007-11-09
Category : Mathematics
ISBN : 0470182822

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Periodically Correlated Random Sequences by Harry L. Hurd,Abolghassem Miamee Pdf

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 : A. Aryafar,S. F. Masri,F. E. Udwadia
Publisher : Unknown
Page : 172 pages
File Size : 52,5 Mb
Release : 1979
Category : Girders
ISBN : UOM:39015095230226

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Transient Response of Beams to Correlated Random Excitation Applied at the Boundaries by A. Aryafar,S. F. Masri,F. E. Udwadia Pdf

Author : Vladas Sidoravicius
Publisher : Springer Nature
Page : 338 pages
File Size : 55,8 Mb
Release : 2019-10-17
Category : Mathematics
ISBN : 9789811502941

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Sojourns in Probability Theory and Statistical Physics - I by Vladas Sidoravicius Pdf

Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics.

Author : Anton Bovier
Publisher : Cambridge University Press
Page : 211 pages
File Size : 53,5 Mb
Release : 2017
Category : Mathematics
ISBN : 9781107160491

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Gaussian Processes on Trees by Anton Bovier Pdf

This book presents recent advances in branching Brownian motion from the perspective of extreme value theory and statistical physics, for graduates.

Author : Zdenek P. Bazant,Jia-Liang Le
Publisher : Cambridge University Press
Page : 319 pages
File Size : 52,7 Mb
Release : 2017-05-25
Category : Science
ISBN : 9781107151703

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Probabilistic Mechanics of Quasibrittle Structures by Zdenek P. Bazant,Jia-Liang Le Pdf

This book presents an experimentally validated probabilistic strength theory of structures made of concrete, composites, ceramics and other quasibrittle materials.

Author : Anonim
Publisher : Newnes
Page : 3572 pages
File Size : 48,7 Mb
Release : 2011-01-28
Category : Science
ISBN : 9780080932286

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Comprehensive Semiconductor Science and Technology by Anonim Pdf

Semiconductors are at the heart of modern living. Almost everything we do, be it work, travel, communication, or entertainment, all depend on some feature of semiconductor technology. Comprehensive Semiconductor Science and Technology, Six Volume Set captures the breadth of this important field, and presents it in a single source to the large audience who study, make, and exploit semiconductors. Previous attempts at this achievement have been abbreviated, and have omitted important topics. Written and Edited by a truly international team of experts, this work delivers an objective yet cohesive global review of the semiconductor world. The work is divided into three sections. The first section is concerned with the fundamental physics of semiconductors, showing how the electronic features and the lattice dynamics change drastically when systems vary from bulk to a low-dimensional structure and further to a nanometer size. Throughout this section there is an emphasis on the full understanding of the underlying physics. The second section deals largely with the transformation of the conceptual framework of solid state physics into devices and systems which require the growth of extremely high purity, nearly defect-free bulk and epitaxial materials. The last section is devoted to exploitation of the knowledge described in the previous sections to highlight the spectrum of devices we see all around us. Provides a comprehensive global picture of the semiconductor world Each of the work's three sections presents a complete description of one aspect of the whole Written and Edited by a truly international team of experts