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math.PR2026
Giants through higher-order paths in random simplicial complexes
Souvik Dhara, Taegyu Kang
We investigate the giant component formed via high-dimensional paths in the multi-parameter random simplicial complex (MRSC) model. For a -dimensional simplicial complex, we def…
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…