Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic recursions: between Kesten's and Grincevi\v{c}ius-Grey's
  assumptions   We study the stochastic recursion $X_n=\Psi_n(X_{n-1})$, where
$(\Psi_n)_{n\geq 1}$ is a sequence of i.i.d. random Lipschitz mappings close to
the random affine transformation $x\mapsto Ax+B$. We describe the tail
behaviour of the stationary solution $X$ under the assumption that there exists
$\alpha>0$ such that $\mathbb{E} |A|^{\alpha}=1$ and the tail of $B$ is
regularly varying with index $-\alpha<0$. We also find the second order
asymptotics of the tail of $X$ when $\Psi(x)=Ax+B$.

8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph