Statistical Properties Of Deterministic Systems
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Statistical Properties Of Deterministic Systems
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Author : Jiu Ding
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-28
Statistical Properties Of Deterministic Systems written by Jiu Ding and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-28 with Mathematics categories.
Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.
Statistical Properties Of Deterministic Systems
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Author : James Cavanaugh
language : en
Publisher:
Release Date : 2017-08
Statistical Properties Of Deterministic Systems written by James Cavanaugh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08 with categories.
Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system.
Statistical Properties Of Discrete Deterministic Systems
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Author : Gerard Siew Bing Leng
language : en
Publisher:
Release Date : 1988
Statistical Properties Of Discrete Deterministic Systems written by Gerard Siew Bing Leng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
The Essence Of Turbulence As A Physical Phenomenon
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Author : Arkady Tsinober
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-23
The Essence Of Turbulence As A Physical Phenomenon written by Arkady Tsinober and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-23 with Technology & Engineering categories.
This book critically reexamines what turbulence really is, from a fundamental point of view and based on observations from nature, laboratories, and direct numerical simulations. It includes critical assessments and a comparative analysis of the key developments, their evolution and failures, along with key misconceptions and outdated paradigms. The main emphasis is on conceptual and problematic aspects, physical phenomena, observations, misconceptions and unresolved issues rather than on conventional formalistic aspects, models, etc. Apart from the obvious fundamental importance of turbulent flows, this emphasis stems from the basic premise that without corresponding progress in fundamental aspects there is little chance for progress in applications such as drag reduction, mixing, control and modeling of turbulence. More generally, there is also a desperate need to grasp the physical fundamentals of the technological processes in which turbulence plays a central role.
The Oxford Handbook Of Generality In Mathematics And The Sciences
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Author : Karine Chemla
language : en
Publisher: Oxford University Press
Release Date : 2016
The Oxford Handbook Of Generality In Mathematics And The Sciences written by Karine Chemla 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 2016 with Mathematics categories.
This collection of original essays aims to inquire into the diversity of Generality. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts.
Advances In Stochastic Structural Dynamics
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Author : W. Q. Zhu
language : en
Publisher: CRC Press
Release Date : 2003-05-13
Advances In Stochastic Structural Dynamics written by W. Q. Zhu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-13 with Technology & Engineering categories.
Collection of technical papers presented at the 5th International Conference on Stochastic Structural Dynamics (SSD03) in Hangzhou, China during May 26-28, 2003. Topics include direct transfer substructure method for random response analysis, generation of bounded stochastic processes, and sample path behavior of Gaussian processes.
Extremes And Recurrence In Dynamical Systems
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Author : Valerio Lucarini
language : en
Publisher: John Wiley & Sons
Release Date : 2016-04-04
Extremes And Recurrence In Dynamical Systems written by Valerio Lucarini and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-04 with Mathematics categories.
Written by a team of international experts, Extremes and Recurrence in Dynamical Systems presents a unique point of view on the mathematical theory of extremes and on its applications in the natural and social sciences. Featuring an interdisciplinary approach to new concepts in pure and applied mathematical research, the book skillfully combines the areas of statistical mechanics, probability theory, measure theory, dynamical systems, statistical inference, geophysics, and software application. Emphasizing the statistical mechanical point of view, the book introduces robust theoretical embedding for the application of extreme value theory in dynamical systems. Extremes and Recurrence in Dynamical Systems also features: • A careful examination of how a dynamical system can serve as a generator of stochastic processes • Discussions on the applications of statistical inference in the theoretical and heuristic use of extremes • Several examples of analysis of extremes in a physical and geophysical context • A final summary of the main results presented along with a guide to future research projects • An appendix with software in Matlab® programming language to help readers to develop further understanding of the presented concepts Extremes and Recurrence in Dynamical Systems is ideal for academics and practitioners in pure and applied mathematics, probability theory, statistics, chaos, theoretical and applied dynamical systems, statistical mechanics, geophysical fluid dynamics, geosciences and complexity science. VALERIO LUCARINI, PhD, is Professor of Theoretical Meteorology at the University of Hamburg, Germany and Professor of Statistical Mechanics at the University of Reading, UK. DAVIDE FARANDA, PhD, is Researcher at the Laboratoire des science du climat et de l’environnement, IPSL, CEA Saclay, Université Paris-Saclay, Gif-sur-Yvette, France. ANA CRISTINA GOMES MONTEIRO MOREIRA DE FREITAS, PhD, is Assistant Professor in the Faculty of Economics at the University of Porto, Portugal. JORGE MIGUEL MILHAZES DE FREITAS, PhD, is Assistant Professor in the Department of Mathematics of the Faculty of Sciences at the University of Porto, Portugal. MARK HOLLAND, PhD, is Senior Lecturer in Applied Mathematics in the College of Engineering, Mathematics and Physical Sciences at the University of Exeter, UK. TOBIAS KUNA, PhD, is Associate Professor in the Department of Mathematics and Statistics at the University of Reading, UK. MATTHEW NICOL, PhD, is Professor of Mathematics at the University of Houston, USA. MIKE TODD, PhD, is Lecturer in the School of Mathematics and Statistics at the University of St. Andrews, Scotland. SANDRO VAIENTI, PhD, is Professor of Mathematics at the University of Toulon and Researcher at the Centre de Physique Théorique, France.
Efficient Approximation Methods For The Global Long Term Behavior Of Dynamical Systems
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Author : Péter Koltai
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2011
Efficient Approximation Methods For The Global Long Term Behavior Of Dynamical Systems written by Péter Koltai and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Fur die Analyse des Langzeitverhaltens dynamischer Systeme werden in dieser Dissertation drei neue Ansatze, basierend auf Transferoperator-Methoden, zur Entwicklung effizienter Algorithmen vorgestellt. Zuerst leiten wir eine Diskretisierung auf dunnen Gittern her, um den Fluch der Dimension in den Griff zu bekommen. Die zweite Methode behandelt den infinitesimalen Generator der Transferoperator-Halbgruppe fur zeit-kontinuierliche Systeme. Als Drittes benutzen wir mean-field-Theorie, um die Dynamik von Subsystemen zu beschreiben, wobei besonderes Augenmerk auf die Konformationsanalyse in der Molekuldynamik gerichtet wird. Des Weiteren werden Bedingungen hergeleitet, unter welchen die Galerkin-Projektion des Transferoperators mit einer kleinen zufalligen Storung des zugrunde liegenden Systems in Verbindung gebracht werden kann. In this thesis three new transfer operator based approaches are developed for the analysis of the long-term behavior of dynamical systems. First, a sparse grid discretization is derived in order to deal with the "curse of dimension". The second method considers the infinitesimal generator of the transfer operator semigroup for continuous-time systems. The third method uses mean field theory to describe the dynamics of subsystems; here the main attention is devoted to conformation analysis in molecular dynamics. Further, conditions are derived such that the Galerkin projection of the transfer operator can be related to a small random perturbation of the underlying system.
Progress In Analysis And Its Applications Proceedings Of The 7th International Isaac Congress
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Author : Michael Ruzhansky
language : en
Publisher: World Scientific
Release Date : 2010-07-29
Progress In Analysis And Its Applications Proceedings Of The 7th International Isaac Congress written by Michael Ruzhansky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-29 with Mathematics categories.
The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This proceedings volume reports on the progress in analysis, applications and computation in recent years as covered and discussed at the 7th ISAAC Congress. This volume includes papers on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 500 participants from almost 60 countries attending the congress, the book comprises a broad selection of contributions in different topics.
Noise In Physical Systems And 1 F Fluctuations
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Author : Gijs Bosman
language : en
Publisher: World Scientific
Release Date : 2001
Noise In Physical Systems And 1 F Fluctuations written by Gijs Bosman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.
The International Conference on Noise in Physical Systems and 1/f Fluctuations brings together physicists and engineers interested in all aspects of noise and fluctuations in materials, devices, circuits, and physical and biological systems. The experimental research on novel devices and systems and the theoretical studies included in this volume provide the reader with a comprehensive, in-depth treatment of present noise research activities worldwide. Contents: Noise in Nanoscale Devices (S Bandyopadhyay et al.); 1/f Voltage Noise Induced by Magnetic Flux Flow in Granular Superconductors (O V Gerashchenko); Low Frequency Noise Analysis of Different Types of Polysilicon Resistors (A Penarier et al.); Low Frequency Noise in CMOS Transistors: An Experimental and Comparative Study on Different Technologies (P Fantini et al.); Modeling of Current Transport and 1/f Noise in GaN Based HBTs (H Unlu); Low Frequency Noise in CdSe Thin Film Transistors (M J Deen & S Rumyanstsev); NIST Program on Relative Intensity Noise Standards for Optical Fiber Sources Near 1550 nm (G Obarski); Physical Model of the Current Noise Spectral Density Versus Dark Current in CdTe Detectors (A Imad et al.); Time and Frequency Study of RTS in Bipolar Transistors (A Penarier et al.); Neural Network Based Adaptive Processing of Electrogastrogram (S Selvan); Shot Noise as a Test of Entanglement and Nonlocality of Electrons in Mesoscopic Systems (E V Sukhorukov et al.); The Readout of Time, Continued Fractions and 1/f Noise (M Planat & J Cresson); Longitudinal and Transverse Noise of Hot Electrons in 2DEG Channels (J Liberis et al.); 1/f Noise, Intermittency and Clustering Poisson Process (F Gruneis); Noise Modeling for PDE Based Device Simulations (F Bonani & G Ghione); Methods of Slope Estimation of Noise Power Spectral Density (J Smulko); and other papers. Readership: Researchers, academics and graduate students in electrical and electronic engineering, biophysics, nanoscience, applied physics, statistical physics and semiconductor science.