Download or read book Paolo Grigolini and 50 Years of Statistical Physics written by Bruce J. West and published by Cambridge Scholars Publishing. This book was released on 2023-04-03 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrates the over fifty-year career in non-equilibrium statistical physics of Professor Paolo Grigolini of the Center for Nonlinear Science at the University of North Texas. It begins by positioning Grigolini in a five-dimensional science-personality space with the following axes: Sleeper, Keeper, Leaper, Creeper and Reaper. This introduction to the person is followed by a sequence of papers in the various areas of science where his work has had impact, including subtle questions concerned with the connection between classical and quantum systems; a two-level atom coupled to a radiation field; classical probability calculus; anomalous diffusion that is Brownian yet non-Gaussian; a new method for detecting scaling in time series; and the effect of strong Anderson localization on ultrasound transmission, among other topics.
Download or read book Decision Making A Psychophysics Application Of Network Science written by Paolo Grigolini and published by World Scientific. This book was released on 2011-07-19 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book captures the proceedings of a workshop that brought together a group of distinguished scientists from a variety of disciplines to discuss how networking influences decision making. The individual lectures interconnect psychological testing, the modeling of neuron networks and brain dynamics to the transport of information within and between complex networks. Of particular importance was the introduction of a new principle that governs how complex networks talk to one another — the Principle of Complexity Management (PCM). PCM establishes that the transfer of information from a stimulating complex network to a responding complex network is determined by how the complexity indices of the two networks are related. The response runs the gamut from being independent of the perturbation to being completely dominated by it, depending on the complexity mismatch.
Download or read book Networking of Psychophysics Psychology and Neurophysiology written by Bruce J. West and published by Frontiers E-books. This book was released on with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: To many scientists the gap between the nineteenth century views of consciousness proposed by the psychologist William James and that developed by the inventor of psychophysics Gustav Fechner has never seemed wider. However the twentieth century concept of collective/cooperative behavior within the brain has partially reconciled these diverging perspectives suggesting the notion of consciousness as a physical phenomenon. A kernel of twenty-first century investigators bases their investigations on physiological fluctuations experiments. These fluctuations, although apparently erratic, when analyzed with advanced methods of fractal statistical analysis reveal the emergence of complex behavior, intermediate between complete order and total randomness, a property usually referred to as temporal complexity. Others, with the help of modern technologies, such MRI, establish a more direct analysis of brain dynamics, and focus on the brain’s topological complexity. Consequently the two groups adopt different approaches, the former being based on phenomenological and macroscopic considerations, and the latter resting on the crucial role of neuron interactions. The neurophysiology research work has an increasing overlap with the emerging field of complex networks, whereas the behavior psychology experiments have until recently ignored the complex cooperative dynamics that are proved by increasing experimental evidence to characterize the brain function. It is crucial to examine both the experimental and theoretical studies that support and those that challenge the view that it is an emergent collective property that allows the healthy brain to function. What needs to be discussed are new ways to understand the transport of information through complex networks sharing the same dynamical properties as the brain. In addition we need to understand information transfer between complex networks, say between the brain and a controlled experimental stimulus. Experiments suggest that brain excitation is described by inverse power-law distributions and recent studies in network dynamics indicate that this distribution is the result of phase transitions due to neuron network dynamics. It is important to stress that the development of dynamic networking establishes a connection between topological and temporal complexity, establishing that a scale-free distribution of links is generated by the dynamic correlation between dynamic elements located at very large Euclidean distances from one another. Dynamic networking and dynamics networks suggest a new way to transfer information: the long-distance communication through local cooperative interaction. It is anticipated that the contributed discussions will clarify how the global intelligence of a complex network emerges from the local cooperation of units and the role played by critical phase transitions in the observed persistence of this cooperation.
Download or read book Networks of Echoes written by Bruce J. West and published by Springer Science & Business Media. This book was released on 2014-04-03 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Networks of Echoes: Imitation, Innovation and Invisible Leaders is a mathematically rigorous and data rich book on a fascinating area of the science and engineering of social webs. There are hundreds of complex network phenomena whose statistical properties are described by inverse power laws. The phenomena of interest are not arcane events that we encounter only fleetingly, but are events that dominate our lives. We examine how this intermittent statistical behavior intertwines itself with what appears to be the organized activity of social groups. The book is structured as answers to a sequence of questions such as: How are decisions reached in elections and boardrooms? How is the stability of a society undermined by zealots and committed minorities and how is that stability re-established? Can we learn to answer such questions about human behavior by studying the way flocks of birds retain their formation when eluding a predator? These questions and others are answered using a generic model of a complex dynamic network—one whose global behavior is determined by a symmetric interaction among individuals based on social imitation. The complexity of the network is manifest in time series resulting from self-organized critical dynamics that have divergent first and second moments, are non-stationary, non-ergodic and non-Poisson. How phase transitions in the network dynamics influence such activity as decision making is a fascinating story and provides a context for introducing many of the mathematical ideas necessary for understanding complex networks in general. The decision making model (DMM) is selected to emphasize that there are features of complex webs that supersede specific mechanisms and need to be understood from a general perspective. This insightful overview of recent tools and their uses may serve as an introduction and curriculum guide in related courses.
Download or read book Physical Review written by and published by . This book was released on 2000-05 with total page 1408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.
Download or read book Complex Webs written by Bruce J. West and published by Cambridge University Press. This book was released on 2010-12-23 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Webs synthesises modern mathematical developments with a broad range of complex network applications of interest to the engineer and system scientist, presenting the common principles, algorithms, and tools governing network behaviour, dynamics, and complexity. The authors investigate multiple mathematical approaches to inverse power laws and expose the myth of normal statistics to describe natural and man-made networks. Richly illustrated throughout with real-world examples including cell phone use, accessing the Internet, failure of power grids, measures of health and disease, distribution of wealth, and many other familiar phenomena from physiology, bioengineering, biophysics, and informational and social networks, this book makes thought-provoking reading. With explanations of phenomena, diagrams, end-of-chapter problems, and worked examples, it is ideal for advanced undergraduate and graduate students in engineering and the life, social, and physical sciences. It is also a perfect introduction for researchers who are interested in this exciting new way of viewing dynamic networks.
Download or read book Statistical Universals of Language written by Kumiko Tanaka-Ishii and published by Springer Nature. This book was released on 2021-04-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the universal mathematical properties underlying big language data and possible reasons why such properties exist, revealing how we may be unconsciously mathematical in our language use. These properties are statistical and thus different from linguistic universals that contribute to describing the variation of human languages, and they can only be identified over a large accumulation of usages. The book provides an overview of state-of-the art findings on these statistical universals and reconsiders the nature of language accordingly, with Zipf's law as a well-known example. The main focus of the book further lies in explaining the property of long memory, which was discovered and studied more recently by borrowing concepts from complex systems theory. The statistical universals not only possibly lie as the precursor of language system formation, but they also highlight the qualities of language that remain weak points in today's machine learning. In summary, this book provides an overview of language's global properties. It will be of interest to anyone engaged in fields related to language and computing or statistical analysis methods, with an emphasis on researchers and students in computational linguistics and natural language processing. While the book does apply mathematical concepts, all possible effort has been made to speak to a non-mathematical audience as well by communicating mathematical content intuitively, with concise examples taken from real texts.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Empirical Paradox Complexity Thinking and Generating New Kinds of Knowledge written by Paolo Grigolini and published by Cambridge Scholars Publishing. This book was released on 2019-06-05 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is another world war inevitable? The answer is a resounding “yes” if we continue to think in terms of “either/or” outcomes. Adversaries think in such terms, you either get what you want, or you do not. Can a different way of thinking produce a different outcome? This book shows that the consistency demanded by the linear, logical either/or thinking is disrupted by paradox, whose resolution forces a consequent decision: war or peace, with no middle ground. If this were the only way of thinking then a person would be either a protagonist or an antagonist, but a person can be both, either, or neither; this opens the door to novel solutions. This is “both/and” thinking, which the book shows can be achieved by a dynamic resolution of paradox. Thus, a basically selfish individual can also be a hero; a consequence of the complexity of being human.
Download or read book Physics of Fractal Operators written by Bruce West and published by Springer Science & Business Media. This book was released on 2003-01-14 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text describes how fractal phenomena, both deterministic and random, change over time, using the fractional calculus. The intent is to identify those characteristics of complex physical phenomena that require fractional derivatives or fractional integrals to describe how the process changes over time. The discussion emphasizes the properties of physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. In many cases, classic analytic function theory cannot serve for modeling complex phenomena; "Physics of Fractal Operators" shows how classes of less familiar functions, such as fractals, can serve as useful models in such cases. Because fractal functions, such as the Weierstrass function (long known not to have a derivative), do in fact have fractional derivatives, they can be cast as solutions to fractional differential equations. The traditional techniques for solving differential equations, including Fourier and Laplace transforms as well as Green's functions, can be generalized to fractional derivatives. Physics of Fractal Operators addresses a general strategy for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of various forms of transport in heterogeneous materials. This strategy builds on traditional approaches and explains why the historical techniques fail as phenomena become more and more complicated.
Download or read book Chaos The Interplay Between Stochastic and Deterministic Behaviour written by Piotr Garbaczewski and published by Springer. This book was released on 1995-09-18 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of chaotic behaviour of dynamical systems has triggered new efforts to reconcile deterministic and stochastic processes as well as classical and quantum physics. New efforts are made to understand complex and unpredictable behaviour. The papers collected in this volume give a broad overview of these activities. Readers will get a glimpse of the growing importance of Lévy processes for physics. They will find new views on fundamental concepts of quantum physics and will see many applications of chaotic and essentially random phenomena to a number of physical problems.
Download or read book Physics Briefs written by and published by . This book was released on 1994 with total page 1248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Memory Function Approaches to Stochastic Problems in Condensed Matter Volume 62 written by Myron W. Evans and published by John Wiley & Sons. This book was released on 2009-09-08 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: An international group of scholars presents a very important development in the theory of relaxation processes. For the first time, the basic equations of motion have been put into a form suitable for computation of a variety of observable phenomena in several different disciplines. This book begins with a description of the foundations of the memory function techniques, of the adiabatic elimination procedure and of the mathematics of continued fractions. It also covers depth relaxation phenomena in several areas of physics, chemistry, biology, electronic engineering, spectroscopy, computer simulation and astronomy.
Download or read book Physics of Fractal Operators written by Bruce West and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.
Download or read book Advances in Chemical Physics Volume 85 Part 3 written by Myron W. Evans and published by Wiley-Interscience. This book was released on 1993-12-20 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: State-Selected and State-to-State Ion-Molecule Reaction Dynamics Part 1: Experiment Edited by Cheuk-Yiu Ng and Michael Baer "It contains a wealth of technical detail and experience and is a ‘must’ for anyone using, or contemplating using, position-sensitive detection methods." —Chemical Engineering Science Illustrated with eight in-depth studies, which shed light on the key experimental work being done in the field today, Part 1 of State-Selected and State-to-State Ion-Molecule Reaction Dynamics is a well-organized look at the experimental side of this highly useful and emerging chemical specialty. Part 1’s progressive coverage includes: a comprehensive review of the theory and application of inhomogeneous rf fields; the application of multiphoton ionization for the preparation of reactant ion states; the conceptual and practical aspects of a multicoincidence technique; and the experimental results obtained using the photoionization and differential reactivity methods. 1992 (0-471-53258-4) 704 pp. State-Selected and State-to-State Ion-Molecule Reaction Dynamics Part 2: Theory Edited by Michael Baer and Cheuk-Yiu Ng Using clear illustrative examples culled from up-to-date research, Part 2: Theory makes the theory fundamental to state-to-state reaction dynamics not only understandable, but relevant to every day experimental work. Focusing exclusively on the theory of charge transfer processes during an atom (ion)-molecule (ion) collision, the book examines the different attitudes for treating the potential energy surfaces which govern the motion of the interacting atoms and ions and the reaction dynamics of these particles. The book also uses a variety of approaches, from the pure quantum mechanical approach, various semiclassical approaches to several statistical approaches, to address key issues in reaction dynamics. 1992 (0-471-53263-0) 576 pp. Advances in Chemical Physics Volume 84 Edited by I. Prigogine and Stuart A. Rice Volume 84 of this heralded series offers readers a detailed, up-to-date look at a host of important issues in chemical physics, including: the collisional time-correlation function approach to molecular energy transfer; molecular theory of liquid phase vibrational energy relaxation; electron degradation in molecular substances; and simulation of nonlinear electronic spectroscopy in the condensed phase. 1993 (0-471-58726-5) 560 pp.
Download or read book Levy Flights and Related Topics in Physics written by Michael F. Shlesinger and published by . This book was released on 2014-01-15 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2003 with total page 2248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
