Download or read book Scale Invariance and Beyond written by B. Dubrulle and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an excellent introduction to the concept of scale invariance, which is a growing field of research with wide applications. It describes where and how symmetry under scale transformation (and its various forms of partial breakdown) can be used to analyze solutions of a problem without the need to explicitly solve it. The first part gives descriptions of tools and concepts; the second is devoted to recent attempts to go beyond the invariance or symmetry breaking, to discuss causes and consequences, and to extract useful information about the system. Examples are carefully worked out in fields as diverse as condensed matter physics, population dynamics, earthquake physics, turbulence, cosmology and finance.
Download or read book Scale Invariance and Beyond written by B. Dubrulle and published by . This book was released on 1997 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scaling in Stock Market Data written by Rama Cont and published by . This book was released on 1998 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concepts of scale invariance and scaling behavior are now increasingly applied outside their traditional domains of application, the physical sciences. Their application to financial markets, initiated by Mandelbrot in the 1960s, has experienced a regain of interest in the recent years, partly due to the abundance of high-frequency data sets and availability of computers for analyzing their statistical properties. This lecture is intended as an introduction and a brief review of current research in a field which is increasingly applied in the study of time aggregation properties of financial data. We will try to show how the concepts of scale invariance and scaling behavior may be usefully applied in the framework of a statistical approach to the study of financial data, pointing out at the same time the limits of such an approach.
Download or read book Dimensional Analysis Beyond the Pi Theorem written by Bahman Zohuri and published by Springer. This book was released on 2016-11-02 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts of dynamical similarity are explained in this book. Our exposition is essentially different from those available in the literature, although it follows the general ideas known as Pi Theorem. There are many excellent books that one can refer to; however, dimensional analysis goes beyond Pi theorem, which is also known as Buckingham’s Pi Theorem. Many techniques via self-similar solutions can bound solutions to problems that seem intractable. A time-developing phenomenon is called self-similar if the spatial distributions of its properties at different points in time can be obtained from one another by a similarity transformation, and identifying one of the independent variables as time. However, this is where Dimensional Analysis goes beyond Pi Theorem into self-similarity, which has represented progress for researchers. In recent years there has been a surge of interest in self-similar solutions of the First and Second kind. Such solutions are not newly discovered; they have been identified and named by Zel’dovich, a famous Russian Mathematician in 1956. They have been used in the context of a variety of problems, such as shock waves in gas dynamics, and filtration through elasto-plastic materials. Self-Similarity has simplified computations and the representation of the properties of phenomena under investigation. It handles experimental data, reduces what would be a random cloud of empirical points to lie on a single curve or surface, and constructs procedures that are self-similar. Variables can be specifically chosen for the calculations.
Download or read book Beyond Spacetime written by Nick Huggett and published by Cambridge University Press. This book was released on 2020-05-14 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the greatest challenges in fundamental physics is to reconcile quantum mechanics and general relativity in a theory of quantum gravity. A successful theory would have profound consequences for our understanding of space, time, and matter. This collection of essays written by eminent physicists and philosophers discusses these consequences and examines the most important conceptual questions among philosophers and physicists in their search for a quantum theory of gravity. Comprising three parts, the book explores the emergence of classical spacetime, the nature of time, and important questions of the interpretation, metaphysics, and epistemology of quantum gravity. These essays will appeal to both physicists and philosophers of science working on problems in foundational physics, specifically that of quantum gravity.
Download or read book Beyond Traditional Probabilistic Data Processing Techniques Interval Fuzzy etc Methods and Their Applications written by Olga Kosheleva and published by Springer Nature. This book was released on 2020-02-28 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data processing has become essential to modern civilization. The original data for this processing comes from measurements or from experts, and both sources are subject to uncertainty. Traditionally, probabilistic methods have been used to process uncertainty. However, in many practical situations, we do not know the corresponding probabilities: in measurements, we often only know the upper bound on the measurement errors; this is known as interval uncertainty. In turn, expert estimates often include imprecise (fuzzy) words from natural language such as "small"; this is known as fuzzy uncertainty. In this book, leading specialists on interval, fuzzy, probabilistic uncertainty and their combination describe state-of-the-art developments in their research areas. Accordingly, the book offers a valuable guide for researchers and practitioners interested in data processing under uncertainty, and an introduction to the latest trends and techniques in this area, suitable for graduate students.
Download or read book Axial Shift written by Benjamen Gussen and published by Springer. This book was released on 2019-05-17 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses historical analysis, constitutional economics, and complexity theory to furnish an account of city subsidiarity as a legal, ethical, political, and economic principle. The book contemplates subsidiarity as a constitutional principle, where cities would benefit from much wider local autonomy. Constitutional economics suggests an optimal limit to jurisdictional footprints (territories). This entails preference for political orders where sovereignty is shared between different cities rather states where capital cities dominate. The introduction of city subsidiarity as a constitutional principle holds the key to economic prosperity in a globalizing world. Moreover, insights from complexity theory suggest subsidiarity is the only effective response to the ‘problem of scale.’ It is a fitness trait that prevents highly complex systems from collapsing. The nation-state is a highly complex system within which cities function as ‘attractors.’ The collapse of such systems would ensue if there were strong coupling between attractors. Such coupling obtains under legal monism. Only subsidiarity can make the eventuality of collapse improbable. The emergent and self-organizing properties of subsidiarity entail a shift in policy emphasis towards cities with a wide margin of autonomy.
Download or read book Beyond Einstein written by David E. Rowe and published by Birkhäuser. This book was released on 2018-06-18 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.
Download or read book Beyond the Standard Model Cocktail written by Yann Gouttenoire and published by Springer Nature. This book was released on 2023-01-01 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a remarkable and complete survey of important questions at the interface between theoretical particle physics and cosmology. After discussing the theoretical and experimental physics revolution that led to the rise of the Standard Model in the past century, the author reviews all the major open puzzles, among them the hierarchy problem, the small value of the cosmological constant, the matter-antimatter asymmetry, and the dark matter enigma, including the state-of-the-art regarding proposed solutions. Also addressed are the rapidly expanding fields of thermal dark matter, cosmological first-order phase transitions and gravitational-wave signatures. In addition, the book presents the original and interdisciplinary PhD research work of the author relating to Weakly-Interacting-Massive-Particles around the TeV scale, which are among the most studied dark matter candidates. Motivated by the absence of experimental evidence for such particles, this thesis explores the possibility that dark matter is much heavier than what is conventionally assumed.
Download or read book Standard Model and Beyond written by M. Zrałek and published by Nova Publishers. This book was released on 1992 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standard Model & Beyond Proceedings Of The Xiii International School Of Theoretical Physics - Szczyrk, September 19-26 1989, University Of Silesia, Katowice
Download or read book Hamiltonian Chaos Beyond the KAM Theory written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.
Download or read book Fractals And Beyond Complexities In The Sciences written by Miroslav M Novak and published by World Scientific. This book was released on 1998-08-25 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the ways to understand the complexity in scientific disciplines is through the use of fractal geometry. Tremendous progress has been made in this field since its inception some two decades ago. This book collects the papers at the cutting-edge, reflecting the current status of fractals. With its special emphasis on the multidisciplinary research, the book represents a unique contribution to the understanding of the complex phenomena in nature.
Download or read book Topics On Quantum Gravity And Beyond Essays In Honor Of Louis Witten On His Retirement written by Freydoon Mansouri and published by World Scientific. This book was released on 1993-05-31 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This festschrift was conceived in connection with the symposium 'Topics on Quantum Gravity and Beyond,' held in honor of Louis Witten. The majority of the essays deal with problems on the frontiers of quantum gravity and string theories. There are also articles on atomic, nuclear, and particle physics, to name a few.
Download or read book Colliders And Neutrinos The Window Into Physics Beyond The Standard Model Tasi 2006 written by Sally Dawson and published by World Scientific. This book was released on 2008-08-20 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of theoretical advanced summer institute lectures by world experts in the field of collider physics and neutrinos, the two frontier areas of particle physics today. It is aimed at graduate students and beginning researchers, and as such, provides many pedagogical details not generally available in standard conference proceedings.
Download or read book 100 Years Of Relativity Space time Structure Einstein And Beyond written by Abhay Ashtekar and published by World Scientific. This book was released on 2005-11-22 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thanks to Einstein's relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century. Contributions here include summaries of radical changes in the notions of space and time that are emerging from quantum field theory in curved space-times (Ford), string theory (T Banks), loop quantum gravity (A Ashtekar), quantum cosmology (M Bojowald), discrete approaches (Dowker, Gambini and Pullin) and twistor theory (R Penrose).
Download or read book Beyond the Dynamical Universe written by Michael Silberstein and published by Oxford University Press. This book was released on 2018-02-09 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical physics and foundations of physics have not made much progress in the last few decades. Whether we are talking about unifying general relativity and quantum field theory (quantum gravity), explaining so-called dark energy and dark matter (cosmology), or the interpretation and implications of quantum mechanics and relativity, there is no consensus in sight. In addition, both enterprises are deeply puzzled about various facets of time including above all, time as experienced. The authors argue that, across the board, this impasse is the result of the "dynamical universe paradigm," the idea that reality is fundamentally made up of physical entities that evolve in time from some initial state according to dynamical laws. Thus, in the dynamical universe, the initial conditions plus the dynamical laws explain everything else going exclusively forward in time. In cosmology, for example, the initial conditions reside in the Big Bang and the dynamical law is supplied by general relativity. Accordingly, the present state of the universe is explained exclusively by its past. This book offers a completely new paradigm (called Relational Blockworld), whereby the past, present and future co-determine each other via "adynamical global constraints," such as the least action principle. Accordingly, the future is just as important for explaining the present as is the past. Most of the book is devoted to showing how Relational Blockworld resolves many of the current conundrums of both theoretical physics and foundations of physics, including the mystery of time as experienced and how that experience relates to the block universe.
Download or read book Moonshine beyond the Monster written by Terry Gannon and published by Cambridge University Press. This book was released on 2023-07-31 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt:
