Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The cone percolation model on Galton-Watson and on spherically symmetric
  trees   We study a rumour model from a percolation theory and branching process point
of view. The existence of a giant component is related to the event where the
rumour, which started from the root of a tree, spreads out through an infinite
number of its vertices. We present lower and upper bounds for the probability
of that event, according to the distribution of the random variables that
defines the radius of influence of each individual. We work with Galton-Watson
branching trees (homogeneous and non-homogeneous) and spherically symmetric
trees which includes homogeneous and $k-$periodic trees.

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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys