Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intermittency on catalysts: three-dimensional simple symmetric exclusion   We continue our study of intermittency for the parabolic Anderson model
$\partial u/\partial t = \kappa\Delta u + \xi u$ in a space-time random medium
$\xi$, where $\kappa$ is a positive diffusion constant, $\Delta$ is the lattice
Laplacian on $\Z^d$, $d \geq 1$, and $\xi$ is a simple symmetric exclusion
process on $\Z^d$ in Bernoulli equilibrium. This model describes the evolution
of a \emph{reactant} $u$ under the influence of a \emph{catalyst} $\xi$.
  In G\"artner, den Hollander and Maillard (2007) we investigated the behavior
of the annealed Lyapunov exponents, i.e., the exponential growth rates as
$t\to\infty$ of the successive moments of the solution $u$. This led to an
almost complete picture of intermittency as a function of $d$ and $\kappa$. In
the present paper we finish our study by focussing on the asymptotics of the
Lyaponov exponents as $\kappa\to\infty$ in the \emph{critical} dimension $d=3$,
which was left open in G\"artner, den Hollander and Maillard (2007) and which
is the most challenging. We show that, interestingly, this asymptotics is
characterized not only by a \emph{Green} term, as in $d\geq 4$, but also by a
\emph{polaron} term. The presence of the latter implies intermittency of
\emph{all} orders above a finite threshold for $\kappa$.

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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
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The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: funct-an