## B. Tsirelson | ## Noise sensitivity on continuous products: an answer to an old question of J. Feldman | ## Recent works |

Boris Tsirelson,

"Noise sensitivity on continuous products:
an answer to an old question of J. Feldman."

math.PR/9907011.

Available online (free of charge) from e-print archive (USA):

xxx.lanl.gov/abs/math.PR/9907011/

or its Israeli mirror:

xxx.tau.ac.il/abs/math.PR/9907011/

A research preprint, 17 pages, bibl. 4 refs.

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.

- Introduction.
- Elementary case.
- Stability, sensitivity, linearizability.
- Stability and extendibility.
- Appendix: The simplest example of sensitivity.

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