Our current situation, marked simultaneously by the Anthropocene, global warming, digitization and exponential artificial intelligence, leads us to sudden and total change in global civilization and, de facto, to rebuilding the foundations of the international economy. Innovation Ecosystems explores the risks and opportunities facing the contemporary world by analyzing, comparing and categorizing the world’s most dynamic innovation ecosystems by region and city. This includes the identification of key characteristics – common or original – and learning from them in terms of culture, management, system and structure, in order to meet current challenges and think about civilizations of the future.
Our current situation, marked simultaneously by the Anthropocene, global warming, digitization and exponential artificial intelligence, leads us to sudden and total change in global civilization and, de facto, to rebuilding the foundations of the international economy. Innovation Ecosystems explores the risks and opportunities facing the contemporary world by analyzing, comparing and categorizing the world’s most dynamic innovation ecosystems by region and city. This includes the identification of key characteristics – common or original – and learning from them in terms of culture, management, system and structure, in order to meet current challenges and think about civilizations of the future.
In the same way as there are many futures, not just one, there are many ways to conceive and practice foresight. The challenge of the great turning point of our civilization is to free ourselves from our prejudices in order to imagine and build desirable futures. The process is, by nature, ethical and prospective. In a complex, uncertain and geopolitically transforming world, we must be open to the diversity of cultures and the different perceptions of the future. This requires us to reflect on the purpose and means of our societies. Futures proposes different cultural and ethical views on civilizational transformation by offering a rare, transnational panorama of the visions of the future in a European, American and Chinese context. Through numerous examples, this book illustrates how foresight is practiced and what this can achieve in strategic terms.
The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. At the same time, it covers a large class of evolution and partial differential equations. The book is intended to serve as an introduction to the subject and to be accessible for beginning and advanced scientists and non-specialists. Simultaneously, it covers a wide range of results and techniques from the early developments in the mid-eighties to the latest achievements. As such, students and researchers interested in the modern aspects of Markov diffusion operators and semigroups and their connections to analytic functional inequalities, probabilistic convergence to equilibrium and geometric curvature will find it especially useful. Selected chapters can also be used for advanced courses on the topic.
The observation of the concentration of measure phenomenon is inspired by isoperimetric inequalities. This book offers the basic techniques and examples of the concentration of measure phenomenon. It presents concentration functions and inequalities, isoperimetric and functional examples, spectrum and topological applications and product measures.
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