Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rates of convergence for the number of zeros of random trigonometric
  polynomials   In this paper, we quantify the rate of convergence between the distribution
of number of zeros of random trigonometric polynomials (RTP) with i.i.d.
centered random coefficients and the number of zeros of a stationary centered
Gaussian process G, whose covariance function is given by the sinc function.
First, we find the convergence of the RTP towards G in the Wasserstein-1
distance, which in turn is a consequence of Donsker Theorem. Then, we use this
result to derive the rate of convergence between their respective number of
zeros. Since the number of real zeros of the RTP is not a continuous function,
we use the Kac-Rice formula to express it as the limit of an integral and, in
this way, we approximate it by locally Lipschitz continuous functions.

31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph