Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The maximum of a tree-indexed random walk in the big jump domain   We consider random walks indexed by arbitrary finite random or deterministic
trees. We derive a simple sufficient criterion which ensures that the maximal
displacement of the tree-indexed random walk is determined by a single large
jump. This criterion is given in terms of four quantities : the tail and the
expectation of the random walk steps, the height of the tree and the number of
its vertices. The results are applied to critical Galton--Watson trees with
offspring distributions in the domain of attraction of a stable law.

4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg