Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flame front propagation III: Random Noise and Pole-Dynamics in Unstable
  Front Propagation (new version)   The problem of flame propagation is studied as an example of unstable fronts
that wrinkle on many scales. The analytic tool of pole expansion in the complex
plane is employed to address the interaction of the unstable growth process
with random initial conditions and perturbations. We argue that the effect of
random noise is immense and that it can never be neglected in sufficiently
large systems. We present simulations that lead to scaling laws for the
velocity and acceleration of the front as a function of the system size and the
level of noise, and analytic arguments that explain these results in terms of
the noisy pole dynamics.terms of the dynamics of singularities in the complex
plane, yielding detailed understanding of the physics of the eigenfunctions and
eigenvalues.

8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th