Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On approximation theorems for the Euler characteristic with applications
  to the bootstrap   We study approximation theorems for the Euler characteristic of the
Vietoris-Rips and Cech filtration. The filtration is obtained from a Poisson or
binomial sampling scheme in the critical regime. We apply our results to the
smooth bootstrap of the Euler characteristic and determine its rate of
convergence in the Kantorovich-Wasserstein distance and in the Kolmogorov
distance.

13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics