Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a strong coupling theory for the KPZ equation   After a brief introduction we review the nonperturbative weak noise approach
to the KPZ equation in one dimension. We argue that the strong coupling aspects
of the KPZ equation are related to the existence of localized propagating
domain walls or solitons representing the growth modes; the statistical weight
of the excitations is governed by a dynamical action representing the
generalization of the Boltzmann factor to kinetics. This picture is not limited
to one dimension. We thus attempt a generalization to higher dimensions where
the strong coupling aspects presumably are associated with a cellular network
of domain walls. Based on this picture we present arguments for the Wolf-Kertez
expression z= (2d+1)/(d+1) for the dynamical exponent.

25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg