B. Tsirelson | Noise as a Boolean algebra of sigma-fields. I. Completion | Recent works |
Boris Tsirelson,
"Noise as a Boolean algebra of sigma-fields. I. Completion"
arXiv:1107.3042.
Available online (free of charge) from e-print archive (USA):
arXiv.org/abs/1107.3042/
or its Israeli mirror:
il.arXiv.org/abs/1107.3042/
A research eprint, 16 pages, bibl. 6 refs.
Nonclassical noises over the plane (such as the black noise of percolation) consist of sigma-fields corresponding to some planar domains. One can treat less regular domains as limits of more regular domains, thus extending the noise and its set of sigma-fields. The greatest extension is investigated in a new general framework.
back to my homepage |