Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonconventional Poisson Limit Theorems   The classical Poisson theorem says that if $\xi_1,\xi_2,...$ are i.i.d. 0--1
Bernoulli random variables taking on 1 with probability $p_n\equiv \la/n$ then
the sum $S_n=\sum_{i=1}^n\xi_i$ is asymptotically in $n$ Poisson distributed
with the parameter $\la$. It turns out that this result can be extended to sums
of the form $S_n=\sum_{i=1}^n\xi_{q_1(i)}... \xi_{q_\ell(i)}$ where now
$p_n\equiv(\la/n)^{1/\ell}$ and $1\leq q_1(i) <... <q_\ell(i)$ are integer
valued increasing functions. We obtain also Poissonian limit for numbers of
arrivals to small sets of $\ell$-tuples $X_{q_1(i)},...,X_{q_\ell(i)}$ for some
Markov chains $X_n$ and for numbers of arrivals of
$T^{q_1(i)}x,...,T^{q_\ell(i)}x$ to small cylinder sets for typical points $x$
of a subshift of finite type $T$.

34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: econ
26
The categories of this paper are: bayes-an