Expected invariants of simplicial complexes obtained from random point samples

Paik, T; van Koert, O

Paik, T (通讯作者),Seoul Natl Univ, Dept Math Sci, Bldg 27,Room 439,San 56-1,Sillim Dong, Seoul 08826, South Korea.;Paik, T (通讯作者),Seoul Natl Univ, Res Inst Math, Bldg 27,Room 402,San 56-1,Sillim Dong, Seoul 08826, South Korea.

ARCHIV DER MATHEMATIK, 2023; 120 (4): 417

Abstract

In this paper, we study the expectation values of topological invariants of the Vietoris-Rips complex and Cech complex for a finite set of sample poin......

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