Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tropical mixtures of star tree metrics   We study tree metrics that can be realized as a mixture of two star tree
metrics. We prove that the only trees admitting such a decomposition are the
ones coming from a tree with at most one internal edge, and whose weight
satisfies certain linear inequalities. We also characterize the fibers of the
corresponding mixture map. In addition, we discuss the general framework of
tropical secant varieties and we interpret our results within this setting.
Finally, we show that the set of tree metric ranks of metrics on $n$ taxa is
unbounded.

14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio