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Explore anomalous fluctuations in cellular automata and spin chains through this 35-minute conference talk delivered at the International Centre for Theoretical Sciences. Delve into the complex behaviors and statistical properties of these discrete dynamical systems, examining how fluctuations deviate from expected patterns in both cellular automata models and quantum spin chain systems. Learn about the mathematical frameworks used to analyze these anomalous phenomena and their implications for understanding nonequilibrium statistical mechanics. Discover the connections between classical cellular automata dynamics and quantum spin systems, focusing on how fluctuation patterns emerge and evolve in these interconnected theoretical frameworks. Gain insights into current research methodologies for studying irregular statistical behaviors in discrete many-body systems and their relevance to broader questions in statistical physics and condensed matter theory.
