Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past
Yu Ito, Toru Sera, Kouji Yano · arXiv (Cornell University) · 2020
For multiparticle finite-state action evolutions, we prove that the observation $ σ$-field admits a resolution involving a third noise which is generated by a random variable with uniform law. The Rees decomposition from the semigroup theory and the theory of infinite convolutions are utilized in our proofs.