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Research constructs observable quotients addressing laws in channel processing and probe selection in systems.
We construct the maximal observable quotient of a finite-dimensional random linear cocycle by removing all directions invisible to future outputs. The resulting observation-dependent Lyapunov spectrum satisfies exact laws for channel processing, finite-window detection, probe selection, algebraic rank walls, and Gaussian initial-state identifiability.
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Hiroyuki Shioiri (2026) studied this question.
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