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Explore continuous measurement techniques in diffusive classical systems through this 31-minute conference talk delivered at the International Centre for Theoretical Sciences. Learn about the theoretical foundations and applications of continuous monitoring in classical diffusive processes, examining how measurement protocols affect system dynamics and fluctuations. Discover the mathematical frameworks used to describe measurement-induced effects in classical stochastic systems, including the role of measurement backaction and information extraction. Understand the connections between measurement theory and nonequilibrium statistical mechanics, particularly in the context of diffusive transport phenomena. Gain insights into current research developments in measurement-driven dynamics and their implications for understanding thermodynamic fluctuations in classical many-body systems. This presentation forms part of a comprehensive workshop on "Hydrodynamics, Fluctuations, and Noise in quantum and classical systems" that brings together perspectives from classical statistical physics, quantum many-body theory, and string theory approaches to nonequilibrium phenomena.
