Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbation analysis of the extinction probability of a Markovian
  binary tree   The extinction probability of the Markovian Binary Tree (MBT) is the minimal
nonnegative solution of a Quadratic Vector Equation (QVE). In this paper, we
present a perturbation analysis for the extinction probability of a
supercritical MBT. We derive a perturbation bound for the minimal nonnegative
solution of the QVE, and an error bound is also given, which can be used to
measure the quality of an approximation solution. Numerical tests show that
these bounds are fairly sharp.

6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an