Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of heights in random trees constructed by aggregation   To each sequence $(a_n)$ of positive real numbers we associate a growing
sequence $(T_n)$ of continuous trees built recursively by gluing at step $n$ a
segment of length $a_n$ on a uniform point of the pre-existing tree, starting
from a segment $T_1$ of length $a_1$. Previous works on that model focus on the
influence of $(a_n)$ on the compactness and Hausdorff dimension of the limiting
tree. Here we consider the cases where the sequence $(a_n)$ is regularly
varying with a non-negative index, so that the sequence $(T_n)$ exploses. We
determine the asymptotics of the height of $T_n$ and of the subtrees of $T_n$
spanned by the root and $\ell$ points picked uniformly at random and
independently in $T_n$, for all $\ell \in \mathbb N$.

19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs