Takashi Owada

activity

20122024

most citedFunctional central limit theorem for heavy tailed stationary infinitely divisible processes generated by conservative flows

32 citations · 78 across the 24 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.PR2023

Limit theorems for critical faces above the vanishing threshold

Zifu Wei, Takashi Owada, D. Yogeshwaran

We investigate convergence of point processes associated with critical faces for a Čech filtration built over a homogeneous Poisson point process in the $d$ -dimensional flat torus.…

math.PR2023

Limit theorems for high-dimensional Betti numbers in the multiparameter random simplicial complexes

Takashi Owada, Gennady Samorodnitsky

We consider the multiparameter random simplicial complex on a vertex set ${1, \dots, n}$ , which is parameterized by multiple connectivity probabilities. Our key results concern t…

math.PR2023★ 1 cited

Large deviations for hyperbolic $k$ -nearest neighbor balls

Christian Hirsch, Moritz Otto, Takashi Owada +1

We prove a large deviation principle for the point process of large Poisson $k$ -nearest neighbor balls in hyperbolic space. More precisely, we consider a stationary Poisson point p…

Limit theorems for critical faces above the vanishing threshold

Limit theorems for high-dimensional Betti numbers in the multiparameter random simplicial complexes

Large deviations for hyperbolic k-nearest neighbor balls

Large deviations for hyperbolic $k$ -nearest neighbor balls