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math.PR2018
Dirichlet forms and ultrametric Cantor sets associated to higher-rank graphs
Jaeseong Heo, Sooran Kang, Yongdo Lim
The aim of this paper is to study the heat kernel and jump kernel of the Dirichlet form associated to ultrametric Cantor sets $\partial\BB_Λ$ that is the infinite path space of the…
math.PR2018
Convergence theorems for barycentric maps
Fumio Hiai, Yongdo Lim
We first develop a theory of conditional expectations for random variables with values in a complete metric space equipped with a contractive barycentric map , and then give…