Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of Densities of Spatial Averages of Stochastic Heat Equation   In this paper, we consider the one-dimensional stochastic heat equation
driven by a space time white noise. In two different scenarios: {\it (i)}
initial condition $u_0=1$ and general nonlinear coefficient $\sigma$ and {\it
(ii)}: initial condition $u_0=\delta_0$ and $\sigma(x)=x$ (Parabolic Anderson
Model), we establish rates of convergence for the uniform distance between the
density of (renormalized) spatial averages and the standard normal density.
These results are based on the combination of Stein method for normal
approximations and Malliavin calculus techniques. A key ingredient in Case (i)
is a new estimate on the $L^p$-norm of the second Malliavin derivative.

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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin