We give necessary and sufficient conditions for tail $\sigma$-fields of time-homogeneous one-dimensional diffusion processes and birth and death processes to be trivial and study related questions.
@article{1176994943,
author = {Rosler, Uwe},
title = {The Tail $\sigma$-Field of Time-Homogeneous One-Dimensional Diffussion Process},
journal = {Ann. Probab.},
volume = {7},
number = {6},
year = {1979},
pages = { 847-857},
language = {en},
url = {http://dml.mathdoc.fr/item/1176994943}
}
Rosler, Uwe. The Tail $\sigma$-Field of Time-Homogeneous One-Dimensional Diffussion Process. Ann. Probab., Tome 7 (1979) no. 6, pp. 847-857. http://gdmltest.u-ga.fr/item/1176994943/