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Topological groups --- Quantum groups --- Quantum computing --- Categories (Mathematics)

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This book discusses mathematical models for various applications in economics, with a focus on non-linear dynamics. Based on the author’s over 50 years of active work in the field, the book has been inspired by models from the period between 1920 and 1950. Following a brief introduction to economics for mathematicians and other modelers, it assembles a repository of useful specific functions for global dynamic modeling. Furthermore, twelve “research stubs” – outlined research agendas that have not yet been fully worked on – are suggested for further study and could even be expanded to entire research projects. The book is a valuable resource, particularly for young scientists who are skilled in mathematical and computational techniques and are looking for applications in economics.

Dynamics. --- Ergodic theory. --- Game theory. --- Economic theory. --- Industrial organization. --- Macroeconomics. --- Economics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Industrial Organization. --- Dynamical Systems and Ergodic Theory. --- Macroeconomics/Monetary Economics//Financial Economics. --- Game Theory, Economics, Social and Behav. Sciences. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Differentiable dynamical systems. --- Mathematics. --- Math --- Science --- Economics --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Industries --- Organization --- Industrial concentration --- Industrial management --- Industrial sociology --- Economic theory --- Political economy --- Social sciences --- Economic man

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This book presents high-quality original contributions on positive systems, including topics such as: monotone dynamical systems in mathematical biology and game theory; mathematical developments for networked systems in biology, chemistry and the social sciences; linear and nonlinear positive operators; dynamical analysis, observation and control of positive distributed parameter systems; stochastic realization theory; biological systems with positive variables and positive controls; iterated function systems; nonnegative dynamic processes; and dimensioning problems for collaborative systems. The book comprises a selection of the best papers presented at the POSTA 2016, the 5th International Symposium on Positive Systems, which was held in Rome, Italy, in September 2016. This conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems.

Engineering. --- Dynamics. --- Ergodic theory. --- System theory. --- Vibration. --- Dynamical systems. --- Control engineering. --- Game theory. --- Control. --- Vibration, Dynamical Systems, Control. --- Dynamical Systems and Ergodic Theory. --- Systems Theory, Control. --- Game Theory. --- Games, Theory of --- Theory of games --- Control engineering --- Control equipment --- Dynamical systems --- Kinetics --- Systems, Theory of --- Systems science --- Ergodic transformations --- Construction --- Mathematical models --- Mathematics --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Science --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Industrial arts --- Technology --- Philosophy --- Differentiable dynamical systems. --- Systems theory. --- Control and Systems Theory. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Positive systems --- Non-negative matrices --- Multibody systems. --- Mechanics, Applied. --- Control theory. --- Multibody Systems and Mechanical Vibrations. --- Dynamical Systems. --- Systems Theory, Control . --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Multi-body systems --- Systems, Multibody --- Dynamics --- Machine theory

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This book surveys new algorithmic approaches and applications to natural and man-made disasters such as oil spills, hurricanes, earthquakes and wildfires. Based on the “Third International Conference on Dynamics of Disasters” held in Kalamata, Greece, July 2017, this Work includes contributions in evacuation logistics, disaster communications between first responders, disaster relief, and a case study on humanitarian logistics. Multi-disciplinary theories, tools, techniques and methodologies are linked with disasters from mitigation and preparedness to response and recovery. The interdisciplinary approach to problems in economics, optimization, government, management, business, humanities, engineering, medicine, mathematics, computer science, behavioral studies, emergency services, and environmental studies will engage readers from a wide variety of fields and backgrounds. .

Emergency management. --- Consequence management (Emergency management) --- Disaster planning --- Disaster preparedness --- Disaster prevention --- Disaster relief --- Disasters --- Emergencies --- Emergency planning --- Emergency preparedness --- Management --- Public safety --- First responders --- Planning --- Preparedness --- Prevention --- Mathematical optimization. --- Operations research. --- Emergency medicine. --- Mathematics. --- Differentiable dynamical systems. --- Calculus of Variations and Optimal Control; Optimization. --- Mathematical Modeling and Industrial Mathematics. --- Operations Research/Decision Theory. --- Emergency Services. --- Game Theory, Economics, Social and Behav. Sciences. --- Dynamical Systems and Ergodic Theory. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Math --- Science --- Medicine, Emergency --- Medicine --- Critical care medicine --- Disaster medicine --- Medical emergencies --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Calculus of variations. --- Mathematical models. --- Decision making. --- Game theory. --- Dynamics. --- Ergodic theory. --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Games, Theory of --- Theory of games --- Mathematical models --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Choice (Psychology) --- Problem solving --- Models, Mathematical --- Isoperimetrical problems --- Variations, Calculus of --- Decision making --- Emergency medical services. --- Dynamical systems. --- Calculus of Variations and Optimization. --- Operations Research and Decision Theory. --- Game Theory. --- Dynamical Systems. --- Emergency health services --- Emergency medical care --- Emergency medicine --- Medical care --- Rescue work