Phenomenological Structure for the Large Deviation Principle in Time-Series Statistics

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The thesis presents a novel approach for controlling rare events in non-equilibrium systems through the application of physical forces, bypassing traditional numerical simulations. It leverages the mathematical framework of equilibrium statistical mechanics, linking large deviation functions to measurable thermodynamic properties. The author introduces the "phenomenological structure for the large deviation principle" and expands it to encompass time-series statistics, offering new insights into the behavior of non-equilibrium physics.