Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit Shape of Subpartition Maximizing Partitions   This is an expository note answering a question posed to us by Richard
Stanley, in which we prove a limit shape theorem for partitions of $n$ which
maximize the number of subpartitions. The limit shape and the growth rate of
the number of subpartitions are explicit. The key ideas are to use large
deviations estimates for random walks, together with convex analysis and the
Hardy-Ramanujan asymptotics. Our limit shape coincides with Vershik's limit
shape for uniform random partitions.

9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th