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Sustainable Management of Natural Resources
Nowadays, environmental issues including air and water pollution, climate change, overexploitation of marine ecosystems, exhaustion of fossil resources, conservation of biodiversity are receiving major attention from the public, stakeholders and scholars from the local to the planetary scales. It is now clearly recognized that human activities yield major ecological and envir- mental stresses with irreversible loss of species, destruction of habitat or c- matecatastrophesasthemostdramaticexamplesoftheire?ects.Infact,these anthropogenic activities impact not only the states and dynamics of natural resources and ecosystems but also alter human health, well-being, welfare and economic wealth si...
Economic Theory and Sustainable Development
This work examines the different ways in which the concepts of sustainability and sustainable development are interpreted in economics. As well as the oft-studied neoclassical take on matters, the author develops new approaches that are less reliant on utilitarianism and discounting.
Mutational and Morphological Analysis
The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory. These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth. However, shapes and images are basically sets, most often not smooth. J.-P. Aubin thus constructs another vision, where shapes and images are just any compact set. Hence their evolution -- which r...
Advanced Methods for Decision Making and Risk Management in Sustainability Science
Understanding sustainability is vital to resolving and managing many of today's problems, on a global as well as local scale. Sustainability science is an emerging field of research that comprises concepts and methodologies from different disciplines in a problem-oriented manner. Research efforts are often concentrated in a variety of sectoral domains. The heterogeneity of scientific tasks involved here and the complexity of environmental and social systems call for specific research strategies which are generally a compromise between high-precision analysis and educated guesswork. For understanding of global change, which embraces a variety of processes on several scales, information needs ...
Dictionary of Ecological Economics
This comprehensive Dictionary brings together an extensive range of definitive terms in ecological economics. Assembling contributions from distinguished scholars, it provides an intellectual map to this evolving subject ranging from the practical to the philosophical.
Boundary Control and Variation
Based on the Working Conference on Boundary Control and Boundary Variation held in Sophia-Antipolis, France, this work provides important examinations of shape optimization and boundary control of hyperbolic systems, including free boundary problems and stabilization. It offers a new approach to large and nonlinear variation of the boundary using global Eulerian co-ordinates and intrinsic geometry.
Viability Theory
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.
Neural Networks and Qualitative Physics
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.
Coviability of Social and Ecological Systems: Reconnecting Mankind to the Biosphere in an Era of Global Change
This book considers the principle of ‘sustainable development’ which is currently facing a growing environmental crisis. A new mode of thinking and positioning the ecological imperative is the major input of this volume. The prism of co-viability is not the economics of political agencies that carry the ideology of the dominant/conventional economic schools, but rather an opening of innovation perspectives through science. This volume, through its four parts, more than 40 chapters and a hundred authors, gives birth to a paradigm which crystallizes within a concept that will support in overcoming the ecological emergency deadlock.
Biodiversity in the Marine Environment
The oceans cover over 70% of our planet. They are host to a biodiversity of tremendous wealth. Its preservation is now a global priority featuring in several international conventions and a confirmed objective of European policies and national strategies. Understanding the dynamics and the uses of the marine biodiversity is a genuine scientific challenge. Fourteen international experts have got together and identified five priority research themes to address the problem, based on analysing the state of knowledge.
