Shi-Lei Kong

collaborators

2 papers

math.MG2020

Gromov Hyperbolic Graphs Arising From Iterations

Shi-Lei Kong, Ka-Sing Lau, Xiang-Yang Wang

For a contractive iterated function system (IFS), it is known that there is a natural hyperbolic graph structure (augmented tree) on the symbolic space of the IFS that reflects the…

math.PR2018

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 $(K, ρ, μ)$ . A successive p…