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Regularity Theory for Mean-Field Game Systems
Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs. It then introduces a series of techniques for well-posedness in the context of mean-field problems, including stationary and time-dependent MFGs, subquadratic and superquadratic MFG formulations, and distinct classes of mean-field couplings. It also explores stationary and time-dependent MFGs through a series of a-priori estimates for solutions of the Hamilton-Jacobi and Fokker-Planck equation. It shows sophisticated a-priori systems derived using a range of analytical techniques, and builds on previous results to explain classical solutions. The final chapter discusses the potential applications, models and natural extensions of MFGs. As MFGs connect common problems in pure mathematics, engineering, economics and data management, this book is a valuable resource for researchers and graduate students in these fields.
Chemoinformatics
"Low-income populations in developing regions of Africa, Asia and the Americas have been particularly injured by a group of tropical infections denominated neglected diseases. Compared to important illnesses, neglected diseases do not enjoy significant res"
Innovative Finance for Technological Progress
Innovative businesses and startups contribute to job creation, economic growth, and technological advancement in most countries. Finance helps nurture innovative firms like startups. Unfortunately, most startups and innovative projects cannot secure finance through the usual and conventional methods. This book goes beyond traditional financing to explore innovative ways to help finance startups and novel businesses. The book covers institutional innovation, innovation in products and processes, and the recent progress in financial innovations in various countries through empirical and case studies. It gives an in-depth look at regulatory, policy frameworks, and risk assessments for financial innovations. It also assesses the role of various innovations, including Fintech, machine learning, big data, scoring models, credit databases, digital platforms, credit guarantees in funding startups, and novel technologies. This book offers valuable insights into how policymakers can nurture a more conducive ecosystem for startups and technologies through innovative finance.
Risk Assessment
Risk assessment is one of the main parts of complex systematic research of natural and man-made hazards and risks together with the concepts of risk analysis, risk management, acceptable risk, and risk reduction. It is considered as the process of making a recommendation on whether existing risks are acceptable and present risk control measures are adequate, and if they are not, whether alternative risk control measures are justified or will be implemented. Risk assessment incorporates the risk analysis and risk evaluation phases. Risk management is considered as the complete process of risk assessment, risk control, and risk reduction. The book reflects on the state-of-the-art problems and addresses the risk assessment to establish the criteria for ranking risk posed by different types of natural or man-made hazards and disasters, to quantify the impact that hazardous event or process has on population and structures, and to enhance the strategies for risk reduction and avoiding.
Small Fiber Neuropathy and Related Syndromes: Pain and Neurodegeneration
This book provides comprehensive coverage of small fiber neuropathy (SFN), from diagnosis to therapy. It focuses on nerve degeneration and neuropathic pain, and their underlying pathology, physiology, psychophysics, genetics and imaging. In particular, this book describes and discusses the major advances in diagnostic techniques for assessing SFN. These include skin biopsy, evoked potentials, quantitative sensory testing and functional studies, as biomarkers of SFN. SFN is a common peripheral nerve disorder, but was often overlooked due to a lack of objective and specific diagnostic tests for the assessment of small nerve fibers. These fibers mediate thermal sensation, pain detection (nocice...
Risk Analysis for the Digital Age
This book presents a foray into the fascinating process of risk management, beginning from classical methods and approaches to understanding risk all the way into cutting-age thinking. Risk management by necessity must lie at the heart of governing our ever more complex digital societies. New phenomena and activities necessitate a new look at how individuals, firms, and states manage the uncertainty they must operate in. Initial chapters provide an introduction to traditional methods and show how they can be built upon to better understand the workings of the modern economy. Later chapters review digital activities and assets like cryptocurrencies showing how such emergent risks can be conce...
Mathematical Paradigms of Climate Science
This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation techniques for climate modeling is amply illustrated in this volume, which also identifies important future challenges.
Seasoned Ham - Principles and Technology of Processing during the Salting and Resting Phases
The technology of preparation of traditional delicatessen products, recognized by a national and / or European protected designation, are products whose processing, conservation and maturing methods are consolidated over time and which represent the direct expression of local identity and territorial identity. Seasoned ham, a long-aged cured meat product, prepared according to processing technologies that respond to local traditions, ranks among the most significant products of Italian delicatessen. The characteristics of the raw material, the trimming of the pork thigh, the processing techniques, differ from region to region and often also from province to province. This book illustrates the principles and techniques of processing the pork leg: the characteristics of the raw material, the transformation process, the concepts of humidification and dehumidification, the diffusive phenomena of salt and humidity, elements that contribute to the correct transformation into seasoned cured ham. The main flaws are listed in the final chapter.
