The Statistical Stability Phenomenon
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The Statistical Stability Phenomenon
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Author : Igor I. Gorban
language : en
Publisher: Springer
Release Date : 2016-10-17
The Statistical Stability Phenomenon written by Igor I. Gorban and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-17 with Technology & Engineering categories.
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.
Randomness And Hyper Randomness
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Author : Igor I. Gorban
language : en
Publisher: Springer
Release Date : 2017-08-31
Randomness And Hyper Randomness written by Igor I. Gorban and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-31 with Technology & Engineering categories.
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.
Multi Scale Phenomena In Complex Fluids
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Author : Thomas Y. Hou
language : en
Publisher: World Scientific
Release Date : 2009
Multi Scale Phenomena In Complex Fluids written by Thomas Y. Hou and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
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."
Introduction To Critical Phenomena In Fluids
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Author : Eldred H. Chimowitz
language : en
Publisher: Oxford University Press
Release Date : 2005-06-02
Introduction To Critical Phenomena In Fluids written by Eldred H. Chimowitz and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-02 with Technology & Engineering categories.
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.
Multi Scale Phenomena In Complex Fluids Modeling Analysis And Numerical Simulations
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Author : Chun Liu
language : en
Publisher: World Scientific
Release Date : 2009-06-12
Multi Scale Phenomena In Complex Fluids Modeling Analysis And Numerical Simulations written by Chun Liu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-12 with Science categories.
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.
Macroscopic And Large Scale Phenomena Coarse Graining Mean Field Limits And Ergodicity
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Author : Adrian Muntean
language : en
Publisher: Springer
Release Date : 2016-01-28
Macroscopic And Large Scale Phenomena Coarse Graining Mean Field Limits And Ergodicity written by Adrian Muntean and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-28 with Science categories.
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.
Introductory Statistics And Random Phenomena
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Author : Manfred Denker
language : en
Publisher: Birkhäuser
Release Date : 2017-09-16
Introductory Statistics And Random Phenomena written by Manfred Denker and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-16 with Computers categories.
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.
Evolution And The Machinery Of Chance
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Author : Marshall Abrams
language : en
Publisher: University of Chicago Press
Release Date : 2023-07-11
Evolution And The Machinery Of Chance written by Marshall Abrams and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-11 with Science categories.
An innovative view of the role of fitness concepts in evolutionary theory. Natural selection is one of the factors responsible for changes in biological populations. Some traits or organisms are fitter than others, and natural selection occurs when there are changes in the distribution of traits in populations because of fitness differences. Many philosophers of biology insist that a trait’s fitness should be defined as an average of the fitnesses of individual members of the population that have the trait. Marshall Abrams argues convincingly against this widespread approach. As he shows, it conflicts with the roles that fitness is supposed to play in evolutionary theory and with the ways that evolutionary biologists use fitness concepts in empirical research. The assumption that a causal kind of fitness is fundamentally a property of actual individuals has resulted in unnecessary philosophical puzzles and years of debate. Abrams came to see that the fitnesses of traits that are the basis of natural selection cannot be defined in terms of the fitnesses of actual members of populations, as philosophers of biology often claim. Rather, it is an overall population-environment system—not actual, particular organisms living in particular environmental conditions—that is the basis of trait fitnesses. Abrams argues that by distinguishing different classes of fitness concepts and the roles they play in the practice of evolutionary biology, we can see that evolutionary biologists’ diverse uses of fitness concepts make sense together and are consistent with the idea that fitness differences cause evolution. Abrams’s insight has broad significance, for it provides a general framework for thinking about the metaphysics of biological evolution and its relations to empirical research. As such, it is a game-changing book for philosophers of biology, biologists who want deeper insight into the nature of evolution, and anyone interested in the applied philosophy of probability.
Introduction To The Theory Of Critical Phenomena
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Author : Dimo I. Uzunov
language : en
Publisher: World Scientific
Release Date : 2010
Introduction To The Theory Of Critical Phenomena written by Dimo I. Uzunov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
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.
Quantum Theory Of Collective Phenomena
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Author : G. L. Sewell
language : en
Publisher: Courier Corporation
Release Date : 2014-04-05
Quantum Theory Of Collective Phenomena written by G. L. Sewell and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-05 with Science categories.
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.