most citedA limit theorem for persistence diagrams of random filtered complexes built over marked point processes

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2 papers

math.PR2021★ 1 cited

A limit theorem for persistence diagrams of random filtered complexes built over marked point processes

Tomoyuki Shirai, Kiyotaka Suzaki

We consider random filtered complexes built over marked point processes on Euclidean spaces. Examples of our filtered complexes include a filtration of ech comp…

math.DS2019

Stochastic flows and rough differential equations on foliated spaces

Yuzuru Inahama, Kiyotaka Suzaki

Stochastic differential equations (SDEs) on compact foliated spaces were introduced a few years ago. As a corollary, a leafwise Brownian motion on a compact foliated space was obta…