We give recurrence/transience criteria for skew products of one dimensional diffusion process and the spherical Brownian motion with respect to a positive continuous additive functional of the former one dimensional diffusion process. Further we give recurrence/transience criteria for their time changed processes.
"Recurrence/transience criteria for skew product diffusion processes." Proc. Japan Acad. Ser. A Math. Sci. 87 (7) 119 - 122, July 2011. https://doi.org/10.3792/pjaa.87.119