Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the number of empty boxes in the Bernoulli sieve   The Bernoulli sieve is the infinite "balls-in-boxes" occupancy scheme with
random frequencies $P_k=W_1...W_{k-1}(1-W_k)$, where $(W_k)_{k\in\mn}$ are
independent copies of a random variable $W$ taking values in $(0,1)$. Assuming
that the number of balls equals $n$, let $L_n$ denote the number of empty boxes
within the occupancy range. The paper proves that, under a regular variation
assumption, $L_n$, properly normalized without centering, weakly converges to a
functional of an inverse stable subordinator. Proofs rely upon the observation
that $(\log P_k)$ is a perturbed random walk. In particular, some results for
general perturbed random walks are derived. The other result of the paper
states that whenever $L_n$ weakly converges (without normalization) the
limiting law is mixed Poisson.

18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs