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Viability Theory
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Book Synopsis Viability Theory by : Jean-Pierre Aubin
Download or read book Viability Theory written by Jean-Pierre Aubin and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book is a compendium of the state of knowledge about viability...Mathematically, the book should be accessible to anyone who has had basic graduate courses in modern analysis and functional analysis...The concepts are defined and many proofs of the requisite results are reproduced here, making the present book essentially self-contained." —Bulletin of the AMS "Because of the wide scope, the book is an ideal reference for people encountering problems related to viability theory in their research...It gives a very thorough mathematical presentation. Very useful for anybody confronted with viability constraints." —Mededelingen van het Wiskundig Genootschap
Book Synopsis Differential Inclusions by : J.-P. Aubin
Download or read book Differential Inclusions written by J.-P. Aubin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: A great impetus to study differential inclusions came from the development of Control Theory, i.e. of dynamical systems x'(t) = f(t, x(t), u(t)), x(O)=xo "controlled" by parameters u(t) (the "controls"). Indeed, if we introduce the set-valued map F(t, x)= {f(t, x, u)}ueu then solutions to the differential equations (*) are solutions to the "differen tial inclusion" (**) x'(t)EF(t, x(t)), x(O)=xo in which the controls do not appear explicitely. Systems Theory provides dynamical systems of the form d x'(t)=A(x(t)) dt (B(x(t))+ C(x(t)); x(O)=xo in which the velocity of the state of the system depends not only upon the x(t) of the system at time t, but also on variations of observations state B(x(t)) of the state. This is a particular case of an implicit differential equation f(t, x(t), x'(t)) = 0 which can be regarded as a differential inclusion (**), where the right-hand side F is defined by F(t, x)= {vlf(t, x, v)=O}. During the 60's and 70's, a special class of differential inclusions was thoroughly investigated: those of the form X'(t)E - A(x(t)), x (0) =xo where A is a "maximal monotone" map. This class of inclusions contains the class of "gradient inclusions" which generalize the usual gradient equations x'(t) = -VV(x(t)), x(O)=xo when V is a differentiable "potential". 2 Introduction There are many instances when potential functions are not differentiable
Book Synopsis Viability and Resilience of Complex Systems by : Guillaume Deffuant
Download or read book Viability and Resilience of Complex Systems written by Guillaume Deffuant and published by Springer. This book was released on 2011-08-03 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: One common characteristics of a complex system is its ability to withstand major disturbances and the capacity to rebuild itself. Understanding how such systems demonstrate resilience by absorbing or recovering from major external perturbations requires both quantitative foundations and a multidisciplinary view on the topic. This book demonstrates how new methods can be used to identify the actions favouring the recovery from perturbations. Examples discussed include bacterial biofilms resisting detachment, grassland savannahs recovering from fire, the dynamics of language competition and Internet social networking sites overcoming vandalism. The reader is taken through an introduction to the idea of resilience and viability and shown the mathematical basis of the techniques used to analyse systems. The idea of individual or agent-based modelling of complex systems is introduced and related to analytically tractable approximations of such models. A set of case studies illustrates the use of the techniques in real applications, and the final section describes how one can use new and elaborate software tools for carrying out the necessary calculations. The book is intended for a general scientific audience of readers from the natural and social sciences, yet requires some mathematics to gain a full understanding of the more theoretical chapters. It is an essential point of reference for those interested in the practical application of the concepts of resilience and viability
Book Synopsis Dynamic Economic Theory by : Jean-Pierre Aubin
Download or read book Dynamic Economic Theory written by Jean-Pierre Aubin and published by Springer. This book was released on 2013-11-13 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide economists with mathematical tools necessary to handle the concepts of evolution under uncertainty and adaption arising in economics, pursuing the Arrow-Debreu-Hahn legacy. It applies the techniques of viability theory to the study of economic systems evolving under contingent uncertainty, faced with scarcity constraints, and obeying various implementation of the inertia principle. The book illustrates how new tools can be used to move from static analysis, built on concepts of optima, equilibria and attractors to a contingent dynamic framework.
Book Synopsis Viability Theory by : Jean-Pierre Aubin
Download or read book Viability Theory written by Jean-Pierre Aubin and published by Springer Science & Business Media. This book was released on 2011-07-13 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viability theory designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to economics, from environmental sciences to financial markets, from control theory and robotics to cognitive sciences. It involves interdisciplinary investigations spanning fields that have traditionally developed in isolation. The purpose of this book is to present an initiation to applications of viability theory, explaining and motivating the main concepts and illustrating them with numerous numerical examples taken from various fields.
Book Synopsis Viability, Invariance and Applications by : Ovidiu Carja
Download or read book Viability, Invariance and Applications written by Ovidiu Carja and published by Elsevier. This book was released on 2007-07-18 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time. The book includes the most important necessary and sufficient conditions for viability starting with Nagumo’s Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts. New concepts for multi-functions as the classical tangent vectors for functions Provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions Clarifying examples, illustrations and numerous problems, completely and carefully solved Illustrates the applications from theory into practice Very clear and elegant style
Book Synopsis Viability and Resilience of Complex Systems by : Guillaume Deffuant
Download or read book Viability and Resilience of Complex Systems written by Guillaume Deffuant and published by Springer Science & Business Media. This book was released on 2011-08-03 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: One common characteristics of a complex system is its ability to withstand major disturbances and the capacity to rebuild itself. Understanding how such systems demonstrate resilience by absorbing or recovering from major external perturbations requires both quantitative foundations and a multidisciplinary view on the topic. This book demonstrates how new methods can be used to identify the actions favouring the recovery from perturbations. Examples discussed include bacterial biofilms resisting detachment, grassland savannahs recovering from fire, the dynamics of language competition and Internet social networking sites overcoming vandalism. The reader is taken through an introduction to the idea of resilience and viability and shown the mathematical basis of the techniques used to analyse systems. The idea of individual or agent-based modelling of complex systems is introduced and related to analytically tractable approximations of such models. A set of case studies illustrates the use of the techniques in real applications, and the final section describes how one can use new and elaborate software tools for carrying out the necessary calculations. The book is intended for a general scientific audience of readers from the natural and social sciences, yet requires some mathematics to gain a full understanding of the more theoretical chapters. It is an essential point of reference for those interested in the practical application of the concepts of resilience and viability
Book Synopsis Quantitative Conservation Biology by : William F. Morris
Download or read book Quantitative Conservation Biology written by William F. Morris and published by Sinauer Associates Incorporated. This book was released on 2002-01-01 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to provide practical, intelligible, and intuitive explanations of population modelling to empirical ecologists and conservation biologists. Modelling methods that do not require large amounts of data (typically unavailable for endangered species) are emphasised. As such, the book is appropriate for undergraduate and graduate students interested in quantitative conservation biology, managers charged with preserving endangered species, and, in short, for any conservation biologist or ecologist seeking to better understand the analysis and modelling of population data.
Book Synopsis The Economics of Creativity by : Thierry Burger-Helmchen
Download or read book The Economics of Creativity written by Thierry Burger-Helmchen and published by Routledge. This book was released on 2013-02-11 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the economic implication of creative individuals and firms is at the heart of the new economy and of related fields such as the economics of knowledge, the economics of science and innovation management. This book brings together a panel of theoretical and empirical contributions which address the generation of creative ideas and their transformation into products and services by firms or universities, as well as the interplay of those organizations in networks and markets. The word ‘creativity’ has been used a great deal recently in relation to efforts to recover from the global financial crisis and re-launch economic activity. Little has been added to explain how and why an economic approach of creativity is useful and necessary. It is useful to understand how the most creative people work and think, and how to foster their creative productivity. It is useful to understand how organizations integrate and exploit creative ideas. It is useful to understand how market mechanisms can handle creativity and how policies must be adapted. It is necessary in the light of the recent economic crises that made innovation, invention and creativity the basis of a new industrialization and fuel for a new economic development. This new book assesses the economic impact of creativity, defining the term and then going on to explore theoretically and practically the economic consequences of creativity through a range of themes including: creativity and evolutionary theories of technological change; creativity and organizational learning; creativity and technological policy; and creativity and economics of networks. This volume offers a rich source of inspiration and ideas for the pursuit of research which merges economic tradition and management perspectives.
Book Synopsis Tychastic Measure of Viability Risk by : Jean-Pierre Aubin
Download or read book Tychastic Measure of Viability Risk written by Jean-Pierre Aubin and published by Springer. This book was released on 2014-08-06 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a forecasting mechanism of the price intervals for deriving the SCR (solvency capital requirement) eradicating the risk during the exercise period on one hand and measuring the risk by computing the hedging exit time function associating with smaller investments the date until which the value of the portfolio hedges the liabilities on the other. This information, summarized under the term “tychastic viability measure of risk” is an evolutionary alternative to statistical measures, when dealing with evolutions under uncertainty. The book is written by experts in the field and the target audience primarily comprises research experts and practitioners.
Book Synopsis Viability of Hybrid Systems by : G. Labinaz
Download or read book Viability of Hybrid Systems written by G. Labinaz and published by Springer Science & Business Media. This book was released on 2011-10-02 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of viability of hybrid systems is considered in this work. A model for a hybrid system is developed including a means of including three forms of uncertainty: transition dynamics, structural uncertainty, and parametric uncertainty. A computational basis for viability of hybrid systems is developed and applied to three control law classes. An approach is developed for robust viability based on two extensions of the controllability operator. The three-tank example is examined for both the viability problem and robust viability problem. The theory is applied through simulation to an active magnetic bearing system and to a batch polymerization process showing that viability can be satisfied in practice. The problem of viable attainability is examined based on the controllability operator approach introduced by Nerode and colleagues. Lastly, properties of the controllability operator are presented.
Book Synopsis Population Viability Analysis by : Steven R. Beissinger
Download or read book Population Viability Analysis written by Steven R. Beissinger and published by University of Chicago Press. This book was released on 2002-05-04 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the world's leading conservation and population biologists evaluate what has become a key tool in estimating extinction risk and evaluating potential recovery strategies - population viability analysis, or PVA.
Book Synopsis Intergenerational Wellbeing and Public Policy by : Girol Karacaoglu
Download or read book Intergenerational Wellbeing and Public Policy written by Girol Karacaoglu and published by Springer. This book was released on 2019-01-28 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distinctive contribution of this book is the formulation of an integrated social, environmental, and economic framework for public policy. This contribution is realised through investigations and conclusions in the following four domains: a formal stylised model that provides a platform for an integrated approach to public policy; a policy-informing simulation model that can be used to operationalise the public policy insights proposed in the stylised model; the implications of introducing fundamental (or radical) uncertainty and complexity into the policy framework; and the use of viability theory to demonstrate how one can think of and implement public policy in an uncertain and complex world, when the focus of policy needs to shift to building resilience to systemic risks. The book’s stylised model is constructed by weaving together threads from the wellbeing, human needs, complex systems, sustainable development, endogenous economic growth, directed technical change, and credit-based-money literatures. Throughout, the perspective is that of a policy adviser to a "wellbeing state", as distinct from a "welfare state". The key linkages or relationships in the model are supported by empirical evidence that draws on the wider literature in related fields.
Book Synopsis The Philosophy of Metacognition by : Joëlle Proust
Download or read book The Philosophy of Metacognition written by Joëlle Proust and published by OUP Oxford. This book was released on 2013-11-28 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Does metacognition, i.e. the capacity to form epistemic self-evaluations about one's current cognitive performance, derive from a mindreading capacity, or does it rely, at least in part, on sui generis informational processes? In The Philosophy of Metacognition Joëlle Proust provides a powerful defense of the second position. Drawing on discussions of empirical evidence from comparative, developmental, and experimental psychology, as well as from neuroscience, and on conceptual analyses, she purports to show that, in contrast with analytic metacognition, procedural metacognition does not need to involve metarepresentations. Procedural metacognition seems to be available to some non-humans (some primates and rodents). Proust further claims that metacognition is essentially related to mental agency, i.e. cognitive control and monitoring. 'Self-probing' is equivalent to a self-addressed question about the feasibility of a mental action ('Am I able to remember this word?'). 'Post-evaluating' is a way of asking oneself whether a given mental action has been successfully completed ('Is this word the one I was looking for?'). Neither question need be articulated conceptually for a feeling of knowing or of being right to be generated, or to drive epistemic control. Various issues raised by the contrast of a procedural, experience-based metacognition, with an analytic, concept-based metacognition are explored, such as whether each is expressed in a different representational format, their sensitivity to different epistemic norms, and the existence of a variety of types of epistemic acceptance.
Book Synopsis Dynamic Economic Theory by : Jean-Pierre Aubin
Download or read book Dynamic Economic Theory written by Jean-Pierre Aubin and published by Springer. This book was released on 1997-05-20 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide economists with mathematical tools necessary to handle the concepts of evolution under uncertainty and adaption arising in economics, pursuing the Arrow-Debreu-Hahn legacy. It applies the techniques of viability theory to the study of economic systems evolving under contingent uncertainty, faced with scarcity constraints, and obeying various implementation of the inertia principle. The book illustrates how new tools can be used to move from static analysis, built on concepts of optima, equilibria and attractors to a contingent dynamic framework.
Book Synopsis Neural Networks and Qualitative Physics by : Jean-Pierre Aubin
Download or read book Neural Networks and Qualitative Physics written by Jean-Pierre Aubin and published by Cambridge University Press. This book was released on 1996-03-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to some mathematical methods that arise in two domains of artificial intelligence: neural networks and qualitative physics. Professor Aubin makes use of control and viability theory in neural networks and cognitive systems, regarded as dynamical systems controlled by synaptic matrices, and set-valued analysis that plays a natural and crucial role in qualitative analysis and simulation. This allows many examples of neural networks to be presented in a unified way. In addition, several results on the control of linear and nonlinear systems are used to obtain a "learning algorithm" of pattern classification problems, such as the back-propagation formula, as well as learning algorithms of feedback regulation laws of solutions to control systems subject to state constraints.
Book Synopsis String Theory and the Scientific Method by : Richard Dawid
Download or read book String Theory and the Scientific Method written by Richard Dawid and published by Cambridge University Press. This book was released on 2013-05-02 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: String theory has played a highly influential role in theoretical physics for nearly three decades and has substantially altered our view of the elementary building principles of the Universe. However, the theory remains empirically unconfirmed, and is expected to remain so for the foreseeable future. So why do string theorists have such a strong belief in their theory? This book explores this question, offering a novel insight into the nature of theory assessment itself. Dawid approaches the topic from a unique position, having extensive experience in both philosophy and high-energy physics. He argues that string theory is just the most conspicuous example of a number of theories in high-energy physics where non-empirical theory assessment has an important part to play. Aimed at physicists and philosophers of science, the book does not use mathematical formalism and explains most technical terms.
