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20162026
most citedExistence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps

4 citations · 20 across the 27 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.DS2022

Self-similar Dirichlet forms on polygon carpets

Shiping Cao, Hua Qiu, Yizhou Wang

We construct symmetric self-similar diffusions with sub-Gaussian heat kernel estimates on two types of polygon carpets, which are natural generalizations of planner Sierpinski carp…

math.PR2022

Scaling limits of loop-erased Markov chains on resistance spaces via a partial loop-erasing procedure

Shiping Cao

We introduce partial loop-erasing operators. We show that by applying a refinement sequence of partial loop-erasing operators to a finite Markov chain, we get a process equivalent…