Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fine asymptotics for the consistent maximal displacement of branching
  Brownian motion   It is well-known that the maximal particle in a branching Brownian motion
sits near $\sqrt2 t - \frac{3}{2\sqrt2}\log t$ at time $t$. One may then ask
about the paths of particles near the frontier: how close can they stay to this
critical curve? Two different approaches to this question have been developed.
We improve upon the best-known bounds in each case, revealing new qualitative
features including marked differences between the two approaches.

29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th