Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical mechanics of stochastic growth phenomena   We develop statistical mechanics for stochastic growth processes as applied
to Laplacian growth by using its remarkable connection with a random matrix
theory. The Laplacian growth equation is obtained from the variation principle
and describes adiabatic (quasi-static) thermodynamic processes in the
two-dimensional Dyson gas. By using Einstein's theory of thermodynamic
fluctuations we consider transitional probabilities between thermodynamic
states, which are in a one-to-one correspondence with planar domains.
Transitions between these domains are described by the stochastic Laplacian
growth equation, while the transitional probabilities coincide with the
free-particle propagator on the infinite dimensional complex manifold with the
K\"ahler metric.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat