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.

  1. Introduction.
  2. Elementary case.
  3. Stability, sensitivity, linearizability.
  4. Stability and extendibility.
  5. Appendix: The simplest example of sensitivity.
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