Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical percolation on general trees   H\"aggstr\"om, Peres, and Steif (1997) have introduced a dynamical version of
percolation on a graph $G$. When $G$ is a tree they derived a necessary and
sufficient condition for percolation to exist at some time $t$. In the case
that $G$ is a spherically symmetric tree, H\"aggstr\"om, Peres, and Steif
(1997) derived a necessary and sufficient condition for percolation to exist at
some time $t$ in a given target set $D$. The main result of the present paper
is a necessary and sufficient condition for the existence of percolation, at
some time $t\in D$, in the case that the underlying tree is not necessary
spherically symmetric. This answers a question of Yuval Peres (personal
communication). We present also a formula for the Hausdorff dimension of the
set of exceptional times of percolation.

17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat