Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling limits for non-intersecting polymers and Whittaker measures   We study the partition functions associated with non-intersecting polymers in
a random environment. By considering paths in series and in parallel, the
partition functions carry natural notions of subadditivity, allowing the
effective study of their asymptotics. For a certain choice of random
environment, the geometric RSK correspondence provides an explicit
representation of the partition functions in terms of a stochastic interface.
Formally this leads to a variational description of the macroscopic behaviour
of the interface and hence the free energy of the associated non-intersecting
polymer model. At zero temperature we relate this variational description to
the Marchenko-Pastur distribution, and give a new derivation of the surface
tension of the bead model.

0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th