32 citations · 78 across the 24 of their papers we have counts for
Showing 2022 · math.PRShow all
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math.PR2022★ 1 cited
Large deviations for the volume of -nearest neighbor balls
Christian Hirsch, Taegyu Kang, Takashi Owada
This paper develops the large deviations theory for the point process associated with the Euclidean volume of -nearest neighbor balls centered around the points of a homogeneous…
math.PR2022
Large deviations for subcomplex counts and Betti numbers in multi-parameter simplicial complexes
Gennady Samorodnitsky, Takashi Owada
We consider the multi-parameter random simplicial complex as a higher dimensional extension of the classical Erdös-Rényi graph. We investigate appearance of "unusual" topological s…
math.PR2022★ 1 cited
Large deviation principle for geometric and topological functionals and associated point processes
Christian Hirsch, Takashi Owada
We prove a large deviation principle for the point process associated to -element connected components in with respect to the connectivity radii . Th…