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math.PR2021
Expected number of zeros of random power series with finitely dependent Gaussian coefficients
Kohei Noda, Tomoyuki Shirai
We are concerned with zeros of random power series with coefficients being a stationary, centered, complex Gaussian process. We show that the expected number of zeros in every smoo…
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…