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May 15, 2017 at 17:56 comment added Gil Kalai A remark to the remrk, I think that percolation is known now by a work of Schramm and Smirnov to represent black noise.
Nov 18, 2013 at 5:41 comment added Tom Ellis I'm afraid I don't have a good answer to your question, but I believe the first black noises were not the Arratia flow (Brownian web). They appeared earlier in Tsirelson and Vershik's "Examples of nonlinear continuous tensor products of measure spaces and non-Fock factorizations" (although admittedly they were not noises on $\mathbb{R}$, if I recall correctly). Furthermore your definition of black is not quite correct. A noise is non-classical if it is not isomorphic to standard Gaussian white noise, and black if it has no classical subnoise.
Mar 1, 2013 at 15:57 history asked user24451 CC BY-SA 3.0