Random walks and induced Dirichlet forms on compact spaces of homogeneous type

Shi-Lei Kong, Ka-Sing Lau, Ting-Kam Leonard Wong

We extend our study of random walks and induced Dirichlet forms on self-similar sets [arXiv:1604.05440, 1612.01708] to compact spaces of homogeneous type $(K,\rho ,\mu )$. A successive p…