AN SDE APPROACH TO LEAF WISE DIFFUSIONS ON FOLIATED SPACES AND ITS APPLICATIONS

作者：Suzaki Kiyotaka^*

来源：Tohoku Mathematical Journal, 2015, 67(2): 247-272.

DOI：10.2748/tmj/1435237042

• Foliated space
• leafwise diffusion process
• harmonic measure
• central limit theorem

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.

• 出版日期2015-6