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Explore a comprehensive seminar lecture examining complexity theories in physical systems through two distinct narratives. Begin with an investigation into defining complexity for patterns and 2D images, challenging traditional entropy-based definitions and proposing "self-dissimilarity" as an alternative metric inspired by biological tissue organization. Delve into the application of Boolean function analysis to frustrated quantum magnetic systems, examining how spin configurations and quantum states relate to sign structures. Learn how the complexity of these sign structures, defined through Boolean Fourier expansion, connects to physical system properties and enables function reconstruction from partial domain observations. Discover the intersections between condensed matter theory, computer science, and biology while exploring various complexity definitions and their practical implications in physical contexts.
