Arithmetic of (independent) sigma-fields on probability spaces

Abstract

This note gathers what is known about, and provides some new results concerning the operations of intersection, of ``generated $\sigma$-field'', and of ``complementation'' for (independent) complete $\sigma$-fields on probability spaces.

Published at https://doi.org/10.15559/19-VMSTA135 in the Modern Stochastics: Theory and Applications (https://vmsta.org/) by VTeX (http://www.vtex.lt/)

References in corpus (2)

• On the scaling limits of planar percolation
• Noise as a Boolean algebra of $\sigma$-fields

Cited by in corpus (1)

• A potpourri of results in the general theory of stochastic noises