Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past
Probability
2022-11-28 v2
Abstract
For multiparticle finite-state action evolutions, we prove that the observation -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.
Keywords
Cite
@article{arxiv.2008.12407,
title = {Resolution of sigma-fields for multiparticle finite-state action evolutions with infinite past},
author = {Yu Ito and Toru Sera and Kouji Yano},
journal= {arXiv preprint arXiv:2008.12407},
year = {2022}
}