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# Lectures On Dynamics Of Stochastic Systems

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**📒Lectures On Dynamics Of Stochastic Systems ✍ Valery I. Klyatskin**

**Lectures on Dynamics of Stochastic Systems**

✏Author :

**Valery I. Klyatskin**

✏Publisher :

**Elsevier**

✏Release Date :

**2010-09-09**

✏Pages :

**410**

✏ISBN :

**0123849675**

✏Available Language :

**English, Spanish, And French**

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**✏Lectures on Dynamics of Stochastic Systems Book Summary :** Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. Models naturally render to statistical description, where random processes and fields express the input parameters and solutions. The fundamental problem of stochastic dynamics is to identify the essential characteristics of the system (its state and evolution), and relate those to the input parameters of the system and initial data. This book is a revised and more comprehensive version of Dynamics of Stochastic Systems. Part I provides an introduction to the topic. Part II is devoted to the general theory of statistical analysis of dynamic systems with fluctuating parameters described by differential and integral equations. Part III deals with the analysis of specific physical problems associated with coherent phenomena. A comprehensive update of Dynamics of Stochastic Systems Develops mathematical tools of stochastic analysis and applies them to a wide range of physical models of particles, fluids and waves Includes problems for the reader to solve

**📒Stochastic Equations Theory And Applications In Acoustics Hydrodynamics Magnetohydrodynamics And Radiophysics Volume 1 ✍ Valery I. Klyatskin**

**Stochastic Equations Theory and Applications in Acoustics Hydrodynamics Magnetohydrodynamics and Radiophysics Volume 1**

✏Author :

**Valery I. Klyatskin**

✏Publisher :

**Springer**

✏Release Date :

**2014-07-14**

✏Pages :

**418**

✏ISBN :

**9783319075877**

✏Available Language :

**English, Spanish, And French**

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**✏Stochastic Equations Theory and Applications in Acoustics Hydrodynamics Magnetohydrodynamics and Radiophysics Volume 1 Book Summary :** This monograph set presents a consistent and self-contained framework of stochastic dynamic systems with maximal possible completeness. Volume 1 presents the basic concepts, exact results, and asymptotic approximations of the theory of stochastic equations on the basis of the developed functional approach. This approach offers a possibility of both obtaining exact solutions to stochastic problems for a number of models of fluctuating parameters and constructing various asymptotic buildings. Ideas of statistical topography are used to discuss general issues of generating coherent structures from chaos with probability one, i.e., almost in every individual realization of random parameters. The general theory is illustrated with certain problems and applications of stochastic mathematical physics in various fields such as mechanics, hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics.

**📒Nonlinear Dynamics And Stochastic Mechanics ✍ Wolfgang Kliemann**

**Nonlinear Dynamics and Stochastic Mechanics**

✏Author :

**Wolfgang Kliemann**

✏Publisher :

**CRC Press**

✏Release Date :

**2018-05-04**

✏Pages :

**560**

✏ISBN :

**9781351091954**

✏Available Language :

**English, Spanish, And French**

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**✏Nonlinear Dynamics and Stochastic Mechanics Book Summary :** Engineering systems have played a crucial role in stimulating many of the modern developments in nonlinear and stochastic dynamics. After 20 years of rapid progress in these areas, this book provides an overview of the current state of nonlinear modeling and analysis for mechanical and structural systems. This volume is a coherent compendium written by leading experts from the United States, Canada, Western and Eastern Europe, and Australia. The 22 articles describe the background, recent developments, applications, and future directions in bifurcation theory, chaos, perturbation methods, stochastic stability, stochastic flows, random vibrations, reliability, disordered systems, earthquake engineering, and numerics. The book gives readers a sophisticated toolbox that will allow them to tackle modeling problems in mechanical systems that use stochastic and nonlinear dynamics ideas. An extensive bibliography and index ensure this volume will remain a reference standard for years to come.

**📒Optimization Of Stochastic Systems ✍ Masanao Aoki**

**Optimization of Stochastic Systems**

✏Author :

**Masanao Aoki**

✏Publisher :

✏Release Date :

**1989**

✏Pages :

**417**

✏ISBN :

**UCAL:B4406450**

✏Available Language :

**English, Spanish, And French**

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**✏Optimization of Stochastic Systems Book Summary :** From the Preface The first edition of this book was written mainly for audiences with physical science and engineering backgrounds. Nevertheless, it reached some readers with economic and management science training. Analytical training of graduate students in economics and management sciences had progressed much in the last 20 years, and many new research results and optimization algorithms have also become available. My own interest in the meantime has shifted to the analysis of dynamics and optimization problems of economic and management science origin. With these developments and changes, I decided to rewrite much of the first edition to make it more accessible to graduate students and professionals in social sciences. I have also incorporated some new analytic tools that I deem useful in analyzing the dynamic and stochastic problems which confront these readers. I hope that my efforts successfully bring intertemporal optimization problems closer to economics professionals. New topics introduced into this second edition appear mostly in Chapters 2, 4, 5, 6, and 8. Martingales and martingale differences are introduced early in Chapter 2. Some limit theorems and asymptotic properties of linear state space models driven by martingale differences are presented. Because many excellent books are available on martingales and their limit theorems, derivations and proofs are mostly sketchy, and readers are referred to these sources. The results in Chapteer 2 are applied in Chapters 5, 6, and 8, among other places. The notion of dynamic aggregation and its relation to cointegration and error-correction models are developed in Chapter 4. Some recursive parameter estimation schemes and their statistical properties are included in Chapters 5 and 6. Here again, books devoted entirely to these topics are available in the literature, and much had to be omitted to keep the second edition to a manageable size. In an appendix to Chapter 7, a potentially very powerful tool in proving convergence of adaptive schemes is outlined. Rational expectations models and their solution methods are developed in Chapter 8 because of their wide-spread interest to economists. A very important class of problems in sequential decision problems revolves around questions of approximating nonlinear dynamics or more generally complex situations with a sequence of less complex ones. Chapter 9 does not begin to do justice to this class of problems but is included as being suggestive of works to be done. When I first started contemplating the revision of the first edition, I benefited from a list of excellent suggestions from Rick van der Ploeg, though I did not necessarily incorporate all of his suggestions. Conversations with Thomas Sargent and Victor Solo were useful in organizing the material into the form of the second edition. I also benefited from discussions with Hashem Pesaran and correspondences with L. Broze in finalizing Chapter 8. Some material in this book was used as lecture notes in a graduate course in the Department of Economics, University of California, Los Angeles, the winter quarter of 1987. I thank the participants in the course for many useful comments. Key Features * This major revision of the First Edition addresses optimization problems stated in stochastic difference equations, which often contain uncertain or randomly varying parameters * Presents a set of concepts and techniques useful in analyzing or controlling stochastic dynamic processes, with possible incompletely specified characteristics * It discusses basic system properties such as: * Stability and observability * Dynamic programming formulations of optimal and adaptive control problems * Parameter estimation schemes and their convergence behavior * Solution methods for rational expectations models using martingale differences

**📒Stochastic Dynamics ✍ Hans Crauel**

**Stochastic Dynamics**

✏Author :

**Hans Crauel**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2007-12-14**

✏Pages :

**440**

✏ISBN :

**9780387226552**

✏Available Language :

**English, Spanish, And French**

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**✏Stochastic Dynamics Book Summary :** Focusing on the mathematical description of stochastic dynamics in discrete as well as in continuous time, this book investigates such dynamical phenomena as perturbations, bifurcations and chaos. It also introduces new ideas for the exploration of infinite dimensional systems, in particular stochastic partial differential equations. Example applications are presented from biology, chemistry and engineering, while describing numerical treatments of stochastic systems.

**📒Stochastic Dynamics And Control ✍ Jian-Qiao Sun**

**Stochastic Dynamics and Control**

✏Author :

**Jian-Qiao Sun**

✏Publisher :

**Elsevier**

✏Release Date :

**2006-08-10**

✏Pages :

**426**

✏ISBN :

**0080463983**

✏Available Language :

**English, Spanish, And French**

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**✏Stochastic Dynamics and Control Book Summary :** This book is a result of many years of author’s research and teaching on random vibration and control. It was used as lecture notes for a graduate course. It provides a systematic review of theory of probability, stochastic processes, and stochastic calculus. The feedback control is also reviewed in the book. Random vibration analyses of SDOF, MDOF and continuous structural systems are presented in a pedagogical order. The application of the random vibration theory to reliability and fatigue analysis is also discussed. Recent research results on fatigue analysis of non-Gaussian stress processes are also presented. Classical feedback control, active damping, covariance control, optimal control, sliding control of stochastic systems, feedback control of stochastic time-delayed systems, and probability density tracking control are studied. Many control results are new in the literature and included in this book for the first time. The book serves as a reference to the engineers who design and maintain structures subject to harsh random excitations including earthquakes, sea waves, wind gusts, and aerodynamic forces, and would like to reduce the damages of structural systems due to random excitations. · Comprehensive review of probability theory, and stochastic processes · Random vibrations · Structural reliability and fatigue, Non-Gaussian fatigue · Monte Carlo methods · Stochastic calculus and engineering applications · Stochastic feedback controls and optimal controls · Stochastic sliding mode controls · Feedback control of stochastic time-delayed systems · Probability density tracking control

**📒Lectures On Stochastic Programming ✍ Alexander Shapiro**

**Lectures on Stochastic Programming**

✏Author :

**Alexander Shapiro**

✏Publisher :

**SIAM**

✏Release Date :

**2014-07-09**

✏Pages :

**494**

✏ISBN :

**9781611973426**

✏Available Language :

**English, Spanish, And French**

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**✏Lectures on Stochastic Programming Book Summary :** Optimization problems involving stochastic models occur in almost all areas of science and engineering, such as telecommunications, medicine, and finance. Their existence compels a need for rigorous ways of formulating, analyzing, and solving such problems. This book focuses on optimization problems involving uncertain parameters and covers the theoretical foundations and recent advances in areas where stochastic models are available.÷ In÷Lectures on Stochastic Programming: Modeling and Theory, Second Edition, the authors introduce new material to reflect recent developments in stochastic programming, including: an analytical description of the tangent and normal cones of chance constrained sets; analysis of optimality conditions applied to nonconvex problems; a discussion of the stochastic dual dynamic programming method; an extended discussion of law invariant coherent risk measures and their Kusuoka representations; and in-depth analysis of dynamic risk measures and concepts of time consistency, including several new results.÷

**📒Deterministic Nonlinear Systems ✍ Vadim S. Anishchenko**

**Deterministic Nonlinear Systems**

✏Author :

**Vadim S. Anishchenko**

✏Publisher :

**Springer**

✏Release Date :

**2014-06-16**

✏Pages :

**294**

✏ISBN :

**9783319068718**

✏Available Language :

**English, Spanish, And French**

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**✏Deterministic Nonlinear Systems Book Summary :** This text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems. This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research.

**📒Linearization Methods For Stochastic Dynamic Systems ✍ Leslaw Socha**

**Linearization Methods for Stochastic Dynamic Systems**

✏Author :

**Leslaw Socha**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2007-12-20**

✏Pages :

**383**

✏ISBN :

**9783540729969**

✏Available Language :

**English, Spanish, And French**

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**✏Linearization Methods for Stochastic Dynamic Systems Book Summary :** For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.

**📒Dynamic Feature Space Modelling Filtering And Self Tuning Control Of Stochastic Systems ✍ Pieter W. Otter**

**Dynamic Feature Space Modelling Filtering and Self Tuning Control of Stochastic Systems**

✏Author :

**Pieter W. Otter**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2012-12-06**

✏Pages :

**184**

✏ISBN :

**9783642455933**

✏Available Language :

**English, Spanish, And French**

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**✏Dynamic Feature Space Modelling Filtering and Self Tuning Control of Stochastic Systems Book Summary :** The literature on systems seems to have been growing almost expo nentially during the last decade and one may question whether there is need for another book. In the author's view, most of the literature on 'systems' is either technical in mathematical sense or technical ifF engineering sense (with technical words such as noise, filtering etc. ) and not easily accessible to researchers is other fields, in particular not to economists, econometricians and quantitative researchers in so cial sciences. This is unfortunate, because achievements in the rather 'young' science of system theory and system engineering are of impor tance for modelling, estimation and regulation (control) problems in other branches of science. State space mode~iing; the concept of ob servability and controllability; the mathematical formulations of sta bility; the so-called canonical forms; prediction error e~timation; optimal control and Kalman filtering are some examples of results of system theory and system engineering which proved to be successful in practice. A brief summary of system theoretical concepts is given in Chapter II where an attempt has been made to translate the concepts in to the more 'familiar' language used in econometrics and social sciences by means of examples. By interrelating concepts and results from system theory with those from econometrics and social sciences, the author has attempted to narrow the gap between the more technical sciences such as engi neering and social sciences and econometrics, and to contribute to either side.

**📒Optimal Control Of Discrete Time Stochastic Systems ✍ C. Striebel**

**Optimal Control of Discrete Time Stochastic Systems**

✏Author :

**C. Striebel**

✏Publisher :

**Springer**

✏Release Date :

**2013-12-21**

✏Pages :

**214**

✏ISBN :

**9783642454707**

✏Available Language :

**English, Spanish, And French**

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**✏Optimal Control of Discrete Time Stochastic Systems Book Summary :**

**📒Lectures On Global Optimization ✍ Panos M. Pardalos**

**Lectures on Global Optimization**

✏Author :

**Panos M. Pardalos**

✏Publisher :

**American Mathematical Soc.**

✏Release Date :

✏Pages :

**243**

✏ISBN :

**9780821871584**

✏Available Language :

**English, Spanish, And French**

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**✏Lectures on Global Optimization Book Summary :**

**📒Topological Dynamics Of Random Dynamical Systems ✍ Nguyen Dinh Cong**

**Topological Dynamics of Random Dynamical Systems**

✏Author :

**Nguyen Dinh Cong**

✏Publisher :

**Oxford University Press**

✏Release Date :

**1997**

✏Pages :

**203**

✏ISBN :

**0198501579**

✏Available Language :

**English, Spanish, And French**

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**✏Topological Dynamics of Random Dynamical Systems Book Summary :** This book is a systematic presentation of the solution of one of the fundamental problems of the theory of random dynamical systems - the problem of topological classification and structural stability of linear hyperbolic random dynamical systems.

**📒Stochastic Dynamics ✍ Lutz Schimansky-Geier**

**Stochastic Dynamics**

✏Author :

**Lutz Schimansky-Geier**

✏Publisher :

**Springer**

✏Release Date :

**1997-05-20**

✏Pages :

**386**

✏ISBN :

**UOM:39015041299747**

✏Available Language :

**English, Spanish, And French**

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**✏Stochastic Dynamics Book Summary :** Stochastic Dynamics, born almost 100 years ago with the early explanations of Brownian motion by physicists, is nowadays a quickly expanding field of research within nonequilibrium statistical physics. The present volume provides a survey on the influence of fluctuations in nonlinear dynamics. It addresses specialists, although the intention of this book is to provide teachers and students with a reliable resource for seminar work. In particular, the reader will find many examples illustrating the theory as well as a host of recent findings.

**Effective Dynamics of Stochastic Partial Differential Equations**

✏Author :

**Jinqiao Duan**

✏Publisher :

**Elsevier**

✏Release Date :

**2014-03-06**

✏Pages :

**282**

✏ISBN :

**9780128012697**

✏Available Language :

**English, Spanish, And French**

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**✏Effective Dynamics of Stochastic Partial Differential Equations Book Summary :** Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial differential equations. The authors’ experience both as researchers and teachers enable them to convert current research on extracting effective dynamics of stochastic partial differential equations into concise and comprehensive chapters. The book helps readers by providing an accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations. Each chapter also includes exercises and problems to enhance comprehension. New techniques for extracting effective dynamics of infinite dimensional dynamical systems under uncertainty Accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations Solutions or hints to all Exercises

**📒Lectures On Computational Fluid Dynamics Mathematical Physics And Linear Algebra ✍ Karl E. Gustafson**

**Lectures on Computational Fluid Dynamics Mathematical Physics and Linear Algebra**

✏Author :

**Karl E. Gustafson**

✏Publisher :

**World Scientific**

✏Release Date :

**1997**

✏Pages :

**169**

✏ISBN :

**9810232136**

✏Available Language :

**English, Spanish, And French**

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**✏Lectures on Computational Fluid Dynamics Mathematical Physics and Linear Algebra Book Summary :** Pt. I. Recent developments in computational fluid dynamics. ch. 1. Cavity flow -- ch. 2. Hovering aerodynamics. ch. 3. Capturing correct solutions -- pt. II. Recent developments in mathematical physics. ch. 1. Probabilistic and deterministic description. ch. 2. Scaling theories. ch. 3. Chaos in iterative maps -- pt. III. Recent developments in linear algebra. ch. 1. Operator Trigonometry. ch. 2. Antieigenvalues. ch. 3. Computational linear algebra

**📒Chaotic Dynamics And Transport In Classical And Quantum Systems ✍ Pierre Collet**

**Chaotic Dynamics and Transport in Classical and Quantum Systems**

✏Author :

**Pierre Collet**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2006-03-30**

✏Pages :

**455**

✏ISBN :

**1402029470**

✏Available Language :

**English, Spanish, And French**

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**✏Chaotic Dynamics and Transport in Classical and Quantum Systems Book Summary :** From the 18th to the 30th August 2003 , a NATO Advanced Study Institute (ASI) was held in Cargèse, Corsica, France. Cargèse is a nice small village situated by the mediterranean sea and the Institut d'Etudes Scientifiques de Cargese provides ? a traditional place to organize Theoretical Physics Summer Schools and Workshops * in a closed and well equiped place. The ASI was an International Summer School on "Chaotic Dynamics and Transport in Classical and Quantum Systems". The main goal of the school was to develop the mutual interaction between Physics and Mathematics concerning statistical properties of classical and quantum dynamical systems. Various experimental and numerical observations have shown new phenomena of chaotic and anomalous transport, fractal structures, chaos in physics accelerators and in cooled atoms inside atom-optics billiards, space-time chaos, fluctuations far from equilibrium, quantum decoherence etc. New theoretical methods have been developed in order to modelize and to understand these phenomena (volume preserving and ergodic dynamical systems, non-equilibrium statistical dynamics, fractional kinetics, coupled maps, space-time entropy, quantum dissipative processes etc). The school gathered a team of specialists from several horizons lecturing and discussing on the achievements, perspectives and open problems (both fundamental and applied).

**📒Identification Of Vibrating Structures ✍ H.G. Natke**

**Identification of Vibrating Structures**

✏Author :

**H.G. Natke**

✏Publisher :

**Springer**

✏Release Date :

**2014-05-04**

✏Pages :

**511**

✏ISBN :

**9783709128961**

✏Available Language :

**English, Spanish, And French**

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**✏Identification of Vibrating Structures Book Summary :**

**📒Numerical Techniques For Stochastic Systems ✍ Francesco Archetti**

**Numerical Techniques for Stochastic Systems**

✏Author :

**Francesco Archetti**

✏Publisher :

**North-Holland**

✏Release Date :

**1980**

✏Pages :

**406**

✏ISBN :

**0444860002**

✏Available Language :

**English, Spanish, And French**

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**✏Numerical Techniques for Stochastic Systems Book Summary :**

**📒Nonlinear Dynamics In Engineering Systems ✍ Werner O. Schiehlen**

**Nonlinear dynamics in engineering systems**

✏Author :

**Werner O. Schiehlen**

✏Publisher :

**Springer**

✏Release Date :

**1990**

✏Pages :

**362**

✏ISBN :

**UOM:39015019554453**

✏Available Language :

**English, Spanish, And French**

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**✏Nonlinear dynamics in engineering systems Book Summary :**

**📒Nonlinear And Stochastic Dynamics ✍ Anil K. Bajaj**

**Nonlinear and Stochastic Dynamics**

✏Author :

**Anil K. Bajaj**

✏Publisher :

✏Release Date :

**1994**

✏Pages :

**339**

✏ISBN :

**UOM:39015032232723**

✏Available Language :

**English, Spanish, And French**

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**✏Nonlinear and Stochastic Dynamics Book Summary :**

**📒Nonlinear Dynamics And Stochastic Mechanics ✍ American Society of Mechanical Engineers. Applied Mechanics Division**

**Nonlinear Dynamics and Stochastic Mechanics**

✏Author :

**American Society of Mechanical Engineers. Applied Mechanics Division**

✏Publisher :

**Amer Society of Mechanical**

✏Release Date :

**2000**

✏Pages :

**125**

✏ISBN :

**UOM:39015052401018**

✏Available Language :

**English, Spanish, And French**

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**✏Nonlinear Dynamics and Stochastic Mechanics Book Summary :** Thirteen papers from a November 2000 meeting examine central topics in theory and applications of nonlinear dynamics, stochastic mechanics and dynamics, and control of nonlinear mechanical and structural systems. Papers address topics related to fundamental, applied, analytical, computational, and e

**📒Mathematics Of Stochastic Manufacturing Systems ✍ George Yin**

**Mathematics of Stochastic Manufacturing Systems**

✏Author :

**George Yin**

✏Publisher :

**American Mathematical Soc.**

✏Release Date :

**1997-01-01**

✏Pages :

**399**

✏ISBN :

**0821897020**

✏Available Language :

**English, Spanish, And French**

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**✏Mathematics of Stochastic Manufacturing Systems Book Summary :** In this volume, leading experts in mathematical manufacturing research and related fields review and update recent advances of mathematics in stochastic manufacturing systems and attempt to bridge the gap between theory and applications. The topics covered include scheduling and production planning, modeling of manufacturing systems, hierarchical control for large and complex systems, Markov chains, queueing networks, numerical methods for system approximations, singular perturbed systems, risk-sensitive control, stochastic optimization methods, discrete event systems, and statistical quality control.

**📒Field Theoretical Tools For Polymer And Particle Physics ✍ Hildegard Meyer-Ortmanns**

**Field Theoretical Tools for Polymer and Particle Physics**

✏Author :

**Hildegard Meyer-Ortmanns**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**1998-03-18**

✏Pages :

**260**

✏ISBN :

**3540643087**

✏Available Language :

**English, Spanish, And French**

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**✏Field Theoretical Tools for Polymer and Particle Physics Book Summary :** The book is written for advanced graduate students. The topics have been selected to present methods and models that have applications in both particle physics and polymer physics. The lectures may serve as a guide through more recent research activities and illustrate the applicability of joint methods in different contexts. The book deals with analytic tools (e.g. random walk models, polymer expansion), numerical tools (e.g. Langevin dynamics), and common models (the three-dimensional Gross-Neveu-Model).

**📒Measuring Risk In Complex Stochastic Systems ✍ J. Franke**

**Measuring Risk in Complex Stochastic Systems**

✏Author :

**J. Franke**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2012-12-06**

✏Pages :

**260**

✏ISBN :

**9781461212140**

✏Available Language :

**English, Spanish, And French**

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**✏Measuring Risk in Complex Stochastic Systems Book Summary :** Complex dynamic processes of life and sciences generate risks that have to be taken. The need for clear and distinctive definitions of different kinds of risks, adequate methods and parsimonious models is obvious. The identification of important risk factors and the quantification of risk stemming from an interplay between many risk factors is a prerequisite for mastering the challenges of risk perception, analysis and management successfully. The increasing complexity of stochastic systems, especially in finance, have catalysed the use of advanced statistical methods for these tasks. The methodological approach to solving risk management tasks may, however, be undertaken from many different angles. A financial insti tution may focus on the risk created by the use of options and other derivatives in global financial processing, an auditor will try to evalu ate internal risk management models in detail, a mathematician may be interested in analysing the involved nonlinearities or concentrate on extreme and rare events of a complex stochastic system, whereas a statis tician may be interested in model and variable selection, practical im plementations and parsimonious modelling. An economist may think about the possible impact of risk management tools in the framework of efficient regulation of financial markets or efficient allocation of capital.

**Complex Systems**

✏Author :

✏Publisher :

**Elsevier**

✏Release Date :

**2011-09-22**

✏Pages :

**526**

✏ISBN :

**0080550592**

✏Available Language :

**English, Spanish, And French**

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**✏Complex Systems Book Summary :** There has been recently some interdisciplinary convergence on a number of precise topics which can be considered as prototypes of complex systems. This convergence is best appreciated at the level of the techniques needed to deal with these systems, which include: 1) A domain of research around a multiple point where statistical physics, information theory, algorithmic computer science, and more theoretical (probabilistic) computer science meet: this covers some aspects of error correcting codes, stochastic optimization algorithms, typical case complexity and phase transitions, constraint satisfaction problems. 2) The study of collective behavior of interacting agents, its impact on understanding some types of economical and financial problems, their link to population and epidemics dynamics, game theory, social, biological and computer networks and evolution. The present book is the written version of the lectures given during the Les Houches summer school session on "Complex Systems", devoted to these emerging interdisciplinary fields. The lectures consist both in a number of long methodological courses (probability theory, statistical physics of disordered systems, information theory, network structure and evolution, agent-based economics and numerical methods) and more specific, 'problem oriented' courses. Lecturers are all leading experts in their field; they have summarized recent results in a clear and authoritative manner. The "Les Houches lecture notes" have a long tradition of excellence and are often found to be useful for a number of years after they were written. The book is of interest to students and researchers with various backgrounds: probability theory, computer science, information theory, physics, finance, biology, etc. · Topical and comprehensive survey of the emerging, interdisciplinary field of "Complex Systems", covered by recognized world experts · "Les Houches lectures notes": a long tradition of excellence and long-lasting impact · Of interest to a broad audience (mathematics, physics, biology, informatics, finance, geology, etc.) · Some applications may have concrete impact · Selected topics in complex systems: forefront of research in the field

**Dynamical Systems**

✏Author :

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

✏Pages :

✏ISBN :

**3540407863**

✏Available Language :

**English, Spanish, And French**

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**✏Dynamical Systems Book Summary :**

**📒Lectures On Soft Computing And Fuzzy Logic ✍ Antonio Di Nola**

**Lectures on Soft Computing and Fuzzy Logic**

✏Author :

**Antonio Di Nola**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2001-07-31**

✏Pages :

**337**

✏ISBN :

**3790813966**

✏Available Language :

**English, Spanish, And French**

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**✏Lectures on Soft Computing and Fuzzy Logic Book Summary :** The present volume collects selected papers arising from lectures delivered by the authors at the School on Fuzzy Logic and Soft Computing held during the years 1996/97/98/99 and sponsored by the Salerno University. The authors contributing to this volume agreed with editors to write down, to enlarge and, in many cases, to rethink their original lectures, in order to offer to readership, a more compact presentation of the proposed topics. The aim of the volume is to offer a picture, as a job in progress, of the effort that is coming in founding and developing soft computing's techniques. The volume contains papers aimed to report on recent results containing genuinely logical aspects of fuzzy logic. The topics treated in this area cover algebraic aspects of Lukasiewicz Logic, Fuzzy Logic as the logic of continuous t-norms, Intuitionistic Fuzzy Logic. Aspects of fuzzy logic based on similar ity relation are presented in connection with the problem of flexible querying in deductive database. Departing from fuzzy logic, some papers present re sults in Probability Logic treating computational aspects, results based on indishernability relation and a non commutative version of generalized effect algebras. Several strict applications of soft computing are presented in the book. Indeed we find applications ranging among pattern recognition, image and signal processing, evolutionary agents, fuzzy cellular networks, classi fication in fuzzy environments. The volume is then intended to serve as a reference work for foundational logico-algebraic aspect of Soft Computing and for concrete applications of soft computing technologies.

**📒Structural Dynamics ✍ Harry Grundmann**

**Structural Dynamics**

✏Author :

**Harry Grundmann**

✏Publisher :

**CRC Press**

✏Release Date :

**2002**

✏Pages :

**1608**

✏ISBN :

**9058095118**

✏Available Language :

**English, Spanish, And French**

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**✏Structural Dynamics Book Summary :** The proceedings contain contributions presented by authors from more than 30 countries at EURODYN 2002. The proceedings show recent scientific developments as well as practical applications, they cover the fields of theory of vibrations, nonlinear vibrations, stochastic dynamics, vibrations of structured elements, wave propagation and structure-borne sound, including questions of fatigue and damping. Emphasis is laid on vibrations of bridges, buildings, railway structures as well as on the fields of wind and earthquake engineering, repectively. Enriched by a number of keynote lectures and organized sessions the two volumes of the proceedings present an overview of the state of the art of the whole field of structural dynamics and the tendencies ot its further development.

**📒Dynamic And Stochastic Multi Project Planning ✍ Philipp Melchiors**

**Dynamic and Stochastic Multi Project Planning**

✏Author :

**Philipp Melchiors**

✏Publisher :

**Springer**

✏Release Date :

**2015-04-24**

✏Pages :

**204**

✏ISBN :

**9783319045405**

✏Available Language :

**English, Spanish, And French**

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**✏Dynamic and Stochastic Multi Project Planning Book Summary :** This book deals with dynamic and stochastic methods for multi-project planning. Based on the idea of using queueing networks for the analysis of dynamic-stochastic multi-project environments this book addresses two problems: detailed scheduling of project activities, and integrated order acceptance and capacity planning. In an extensive simulation study, the book thoroughly investigates existing scheduling policies. To obtain optimal and near optimal scheduling policies new models and algorithms are proposed based on the theory of Markov decision processes and Approximate Dynamic programming. Then the book presents a new model for the effective computation of optimal policies based on a Markov decision process. Finally, the book provides insights into the structure of optimal policies.