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Explore symmetry breaking and non-equilibrium phenomena in this lecture from the Santa Fe Institute's 2012 Complex Systems Summer School. Delve into topics such as brain theory, interaction matrices, Stokes equations, and thermal equilibrium. Examine the Elfarol problem and its implications for complex systems. Gain insights from an interdisciplinary perspective, drawing from mathematical, biological, cognitive, and social sciences. Access the full bibliography for further study and engage with cutting-edge research supported by the National Science Foundation.