Abstract
We construct leafwise diffusions on foliated spaces via SDE approach. The obtained diffusions are stochastically continuous and hence have the Feller property. Moreover our construction enables us to prove a central limit theorem for the leafwise diffusion on a compact foliated space in the same way as for a diffusion on a compact manifold.
Citation
Kiyotaka Suzaki. "An SDE approach to leafwise diffusions on foliated spaces and its applications." Tohoku Math. J. (2) 67 (2) 247 - 272, 2015. https://doi.org/10.2748/tmj/1435237042
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