Noise sensitivity on continuous products: an answer to an old question of J. Feldman
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🧮 math.PR
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continuousfeldmannoiseproductssensitivityanswerconjecturedestablished
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A relation between sigma-additivity and linearizability, conjectured by Jacob Feldman in 1971 for continuous products of probability spaces, is established by relating both notions to a recent idea of noise stability/sensitivity.
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