Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hydrodynamics of correlated systems. Emptiness Formation Probability and
  Random Matrices   A hydrodynamic approach is used to calculate an asymptotics of the Emptiness
Formation Probability - the probability of a formation of an empty space in the
ground state of a quantum one-dimensional many body system. Quantum
hydrodynamics of a system is represented as a Euclidian path integral over
configurations of hydrodynamic variables. In the limit of a large size of the
empty space, the probability is dominated by an instanton configuration, and
the problem is reduced to the finding of an instanton solution of classical
hydrodynamic equations. After establishing a general formalism, we carry out
this calculation for several simple systems -- free fermions with an arbitrary
dispersion and Calogero-Sutherland model. For these systems we confirm the
obtained results by comparison with exact results known in Random Matrix
theory. We argue that the nonlinear hydrodynamic approach might be useful even
in cases where the linearized hydrodynamics fails.

26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph