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"Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts"--

Computational complexity. --- Spin glasses. --- Glasses, Magnetic --- Glasses, Spin --- Magnetic glasses --- Complexity, Computational --- 530.412 --- Magnetic alloys --- Nuclear spin --- Solid state physics --- Electronic data processing --- Machine theory --- EdwardsЁnderson Hamiltonian. --- EdwardsЁnderson model. --- Hamiltonian. --- Herb Simon. --- Kondo effect. --- NK model. --- Phil Anderson. --- SherringtonЋirkpatrick model. --- Warren Weaver. --- antiferromagnetism. --- broken symmetry. --- combinatorial optimization. --- complex systems. --- complexity studies. --- complexity. --- computational complexity. --- computer science. --- condensed matter physics. --- condensed matter. --- dimension. --- dimensionality. --- dynamical behavior. --- ferromagnetism. --- ground state. --- immune response maturation. --- invariance. --- magnetic alloys. --- magnetic materials. --- magnetic systems. --- mathematicians. --- mean field theory. --- neural networks. --- nonequilibrium. --- order parameter. --- order. --- ordinary glasses. --- paramagnetism. --- phase transition. --- phase transitions. --- physics. --- prebiotic evolution. --- protein conformational dynamics. --- protein conformational folding. --- protein folding. --- quenched disorder. --- replica symmetry breaking. --- social network modeling. --- solid state magnetism. --- spin glass science. --- spin glasses. --- spin. --- spinгpin interaction. --- symmetry. --- thermodynamic equilibrium. --- thermodynamics.

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Operational research. Game theory --- Probability theory --- waarschijnlijkheidstheorie --- stochastische analyse --- kansrekening

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This volume features selected and peer-reviewed articles from the Pan-American Advanced Studies Institute (PASI). The chapters are written by international specialists who participated in the conference. Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), spin glasses, random walks in random environment, and percolative systems. PASI fosters a collaboration between North American and Latin American researchers and students. The conference that inspired this volume took place in January 2012 in both Santiago de Chile and Buenos Aires. Researchers and graduate students will find timely research in probability theory, statistical physics and related disciplines.

Mathematical statistics. --- Probabilities. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Statistical methods --- Statistics. --- Distribution (Probability theory. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Mathematical Physics. --- Statistics, general. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics --- Statistics . --- Mathematical physics. --- Physical mathematics --- Physics