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The Statistical Stability Phenomenon
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Book Synopsis The Statistical Stability Phenomenon by : Igor I. Gorban
Download or read book The Statistical Stability Phenomenon written by Igor I. Gorban and published by Springer. This book was released on 2016-10-17 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph investigates violations of statistical stability of physical events, variables, and processes and develops a new physical-mathematical theory taking into consideration such violations – the theory of hyper-random phenomena. There are five parts. The first describes the phenomenon of statistical stability and its features, and develops methods for detecting violations of statistical stability, in particular when data is limited. The second part presents several examples of real processes of different physical nature and demonstrates the violation of statistical stability over broad observation intervals. The third part outlines the mathematical foundations of the theory of hyper-random phenomena, while the fourth develops the foundations of the mathematical analysis of divergent and many-valued functions. The fifth part contains theoretical and experimental studies of statistical laws where there is violation of statistical stability. The monograph should be of particular interest to engineers and scientists in general who study the phenomenon of statistical stability and use statistical methods for high-precision measurements, prediction, and signal processing over long observation intervals.
Book Synopsis Randomness and Hyper-randomness by : Igor I. Gorban
Download or read book Randomness and Hyper-randomness written by Igor I. Gorban and published by Springer. This book was released on 2017-08-31 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph compares two approaches that describe the statistical stability phenomenon – one proposed by the probability theory that ignores violations of statistical stability and another proposed by the theory of hyper-random phenomena that takes these violations into account. There are five parts. The first describes the phenomenon of statistical stability. The second outlines the mathematical foundations of probability theory. The third develops methods for detecting violations of statistical stability and presents the results of experimental research on actual processes of different physical nature that demonstrate the violations of statistical stability over broad observation intervals. The fourth part outlines the mathematical foundations of the theory of hyper-random phenomena. The fifth part discusses the problem of how to provide an adequate description of the world. The monograph should be interest to a wide readership: from university students on a first course majoring in physics, engineering, and mathematics to engineers, post-graduate students, and scientists carrying out research on the statistical laws of natural physical phenomena, developing and using statistical methods for high-precision measurement, prediction, and signal processing over broad observation intervals. To read the book, it is sufficient to be familiar with a standard first university course on mathematics.
Book Synopsis The Role of the Concept of Statistical Stability in Organization Theory by : Roger L. Smith
Download or read book The Role of the Concept of Statistical Stability in Organization Theory written by Roger L. Smith and published by . This book was released on 1961 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to the Theory of Critical Phenomena by : D. I. Uzunov
Download or read book Introduction to the Theory of Critical Phenomena written by D. I. Uzunov and published by World Scientific. This book was released on 1993 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sophistication of modern tools used in the study of statistical mechanics and field theory is often an obstacle to the easy understanding of new important current results reported in journals. The main purpose of this book is to introduce the reader to the methods of the fluctuation (field) theory of phase transitions and critical phenomena so as to provide a good source for research. The introductory contents are concerned with ideas of description, thermodynamic stability theory related to phase transitions, major experimental facts, basic models and their relationships. Special attention is paid to the mean field approximation and to the Landau expansion for simple and complex models of critical and multicritical phenomena. An instructive representation of the modern perturbation theory and the method of the renormalization group is developed for field models of phase transitions. The essential influence of the fluctuations on the critical behaviour is established together with the theory of correlation functions, Gaussian approximation, the Ginzburg criterion, ?- and 1/n- expansions as practical realizations of the renormalization group ideas. Applications of the theory to concrete aspects of condensed matter physics are considered: quantum effects, Bose condensation, crystal anisotropy, superconductors and liquid crystals, effects of disorder of type randomly distributed quenched impurities and random fields. This volume can be used as an advanced University course book for students with a basic knowledge of statistical physics and quantum mechanics. It could be considered as a complementary text to a standard University course on statistical physics.
Book Synopsis The Essence of Turbulence as a Physical Phenomenon by : Arkady Tsinober
Download or read book The Essence of Turbulence as a Physical Phenomenon written by Arkady Tsinober and published by Springer. This book was released on 2018-12-17 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its second edition, this book clearly, concisely and comprehensively outlines the essence of turbulence. In view of the absence of a theory based on first principles and adequate tools to handle the problem, the “essence” of turbulence, i.e. what turbulence really is from a fundamental point of view, is understood empirically through observations from nature, laboratories and direct numerical simulations rather than explained by means of conventional formalistic aspects, models, etc., resulting in pertinent issues being described at a highly theoretical level in spite of the mentioned lack of theory. As such, the book highlights and critically reexamines fundamental issues, especially those of paradigmatic nature, related to conceptual and problematic aspects, key misconceptions and unresolved matters, and discusses why the problem is so difficult. As in the previous edition, the focus on fundamental issues is also a consequence of the view that without corresponding advances in fundamental aspects there is little chance of progress in any applications. More generally there is a desperate need for physical fundamentals of a great variety of processes in nature and technology in which turbulence plays a central role. Turbulence is omnipresent throughout the natural sciences and technology, but despite the vast sea of information available the book retains its brevity without oversimplifications, making it of interest to a broad audience.
Book Synopsis Statistical Averages by : Franz Zizek
Download or read book Statistical Averages written by Franz Zizek and published by . This book was released on 1913 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introductory Statistics and Random Phenomena by : Manfred Denker
Download or read book Introductory Statistics and Random Phenomena written by Manfred Denker and published by Birkhäuser. This book was released on 2017-09-16 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook integrates traditional statistical data analysis with new computational experimentation capabilities and concepts of algorithmic complexity and chaotic behavior in nonlinear dynamic systems. This was the first advanced text/reference to bring together such a comprehensive variety of tools for the study of random phenomena occurring in engineering and the natural, life, and social sciences. The crucial computer experiments are conducted using the readily available computer program Mathematica® Uncertain Virtual WorldsTM software packages which optimize and facilitate the simulation environment. Brief tutorials are included that explain how to use the Mathematica® programs for effective simulation and computer experiments. Large and original real-life data sets are introduced and analyzed as a model for independent study. This is an excellent classroom tool and self-study guide. The material is presented in a clear and accessible style providing numerous exercises and bibliographical notes suggesting further reading. Topics and Features Comprehensive and integrated treatment of uncertainty arising in engineering and scientific phenomena – algorithmic complexity, statistical independence, and nonlinear chaotic behavior Extensive exercise sets, examples, and Mathematica® computer experiments that reinforce concepts and algorithmic methods Thorough presentation of methods of data compression and representation Algorithmic approach to model selection and design of experiments Large data sets and 13 Mathematica®-based Uncertain Virtual WorldsTM programs and code This text is an excellent resource for all applied statisticians, engineers, and scientists who need to use modern statistical analysis methods to investigate and model their data. The present, softcover reprint is designed to make this classic textbook available to a wider audience.
Book Synopsis Multi-Scale Phenomena in Complex Fluids by : Thomas Y. Hou
Download or read book Multi-Scale Phenomena in Complex Fluids written by Thomas Y. Hou and published by World Scientific. This book was released on 2009 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the first two series of mini-courses from OC Shanghai Summer School on Analysis and Numerics in Modern SciencesOCO, which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids."
Book Synopsis Multi-scale Phenomena In Complex Fluids: Modeling, Analysis And Numerical Simulations by : Chun Liu
Download or read book Multi-scale Phenomena In Complex Fluids: Modeling, Analysis And Numerical Simulations written by Chun Liu and published by World Scientific. This book was released on 2009-06-12 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the first two series of mini-courses from “Shanghai Summer School on Analysis and Numerics in Modern Sciences”, which was held in 2004 and 2006 at Fudan University, Shanghai, China.This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids.
Book Synopsis Irreversible Phenomena and Dynamical Systems Analysis in Geosciences by : Grégoire Nicolis
Download or read book Irreversible Phenomena and Dynamical Systems Analysis in Geosciences written by Grégoire Nicolis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, Crete, Greece, July 14-24, 1985
Book Synopsis Introduction to the Theory of Critical Phenomena by : Dimo I. Uzunov
Download or read book Introduction to the Theory of Critical Phenomena written by Dimo I. Uzunov and published by World Scientific. This book was released on 2010 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.
Book Synopsis Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity by : Adrian Muntean
Download or read book Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity written by Adrian Muntean and published by Springer. This book was released on 2016-01-28 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the offspring of a summer school school “Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity”, which was held in 2012 at the University of Twente, the Netherlands. The focus lies on mathematically rigorous methods for multiscale problems of physical origins. Each of the four book chapters is based on a set of lectures delivered at the school, yet all authors have expanded and refined their contributions. Francois Golse delivers a chapter on the dynamics of large particle systems in the mean field limit and surveys the most significant tools and methods to establish such limits with mathematical rigor. Golse discusses in depth a variety of examples, including Vlasov--Poisson and Vlasov--Maxwell systems. Lucia Scardia focuses on the rigorous derivation of macroscopic models using $\Gamma$-convergence, a more recent variational method, which has proved very powerful for problems in material science. Scardia illustrates this by various basic examples and a more advanced case study from dislocation theory. Alexander Mielke's contribution focuses on the multiscale modeling and rigorous analysis of generalized gradient systems through the new concept of evolutionary $\Gamma$-convergence. Numerous evocative examples are given, e.g., relating to periodic homogenization and the passage from viscous to dry friction. Martin Göll and Evgeny Verbitskiy conclude this volume, taking a dynamical systems and ergodic theory viewpoint. They review recent developments in the study of homoclinic points for certain discrete dynamical systems, relating to particle systems via ergodic properties of lattices configurations.
Book Synopsis Quantum Theory of Collective Phenomena by : G. L. Sewell
Download or read book Quantum Theory of Collective Phenomena written by G. L. Sewell and published by Courier Corporation. This book was released on 2014-04-05 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematic three-part treatment covers generalized quantum mechanical framework, statistical thermodynamics, and collective phenomena. "Excellent." — Physics Today. "One of the best introductions to the subject." — Physics Bulletin. 1989 edition.
Book Synopsis Introduction to Critical Phenomena in Fluids by : Eldred H. Chimowitz
Download or read book Introduction to Critical Phenomena in Fluids written by Eldred H. Chimowitz and published by Oxford University Press. This book was released on 2005-06-02 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Critical Phenomena in Fluids encompasses the fundamentals of this relatively young field, as well as applications in the fields of chemical engineering, analytical chemistry, and environmental remediation processing. The exercises in the text have been developed in a way that makes the book suitable for graduate courses in chemical engineering thermodynamics and physical chemistry.
Book Synopsis Search Foundations by : Sachi Arafat
Download or read book Search Foundations written by Sachi Arafat and published by MIT Press. This book was released on 2019-02-12 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: A call to redirect the intellectual focus of information retrieval and science (IR&S) toward the phenomenon of technology-mediated experience. In this book, Sachi Arafat and Elham Ashoori issue a call to reorient the intellectual focus of information retrieval and science (IR&S) away from search and related processes toward the more general phenomenon of technology-mediated experience. Technology-mediated experience accounts for an increasing proportion of human lived experience; the phenomenon of mediation gets at the heart of the human-machine relationship. Framing IR&S more broadly in this way generalizes its problems and perspectives, dovetailing them with those shared across disciplines dealing with socio-technical phenomena. This reorientation of IR&S requires imagining it as a new kind of science: a science of technology-mediated experience (STME). Arafat and Ashoori not only offer detailed analysis of the foundational concepts underlying IR&S and other technical disciplines but also boldly call for a radical, systematic appropriation of the sciences and humanities to create a better understanding of the human-technology relationship. Arafat and Ashoori discuss the notion of progress in IR&S and consider ideas of progress from the history and philosophy of science. They argue that progress in IR&S requires explicit linking between technical and nontechnical aspects of discourse. They develop a network of basic questions and present a discursive framework for addressing these questions. With this book, Arafat and Ashoori provide both a manifesto for the reimagining of their field and the foundations on which a reframed IR&S would rest.
Book Synopsis On the Incremental-iterative Analysis of Plastic Stability Phenomena of Steel Members by : Gyula Greschik
Download or read book On the Incremental-iterative Analysis of Plastic Stability Phenomena of Steel Members written by Gyula Greschik and published by . This book was released on 1992 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Statistical Mechanics of Irreversible Phenomena by : Pierre Gaspard
Download or read book The Statistical Mechanics of Irreversible Phenomena written by Pierre Gaspard and published by Cambridge University Press. This book was released on 2022-07-28 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of recent progress in nonequilibrium statistical mechanics, including applications across a range of disciplines.
