Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Martin boundary of a reflected random walk on a half-space   The complete representation of the Martin compactification for reflected
random walks on a half-space $\Z^d\times\N$ is obtained. It is shown that the
full Martin compactification is in general not homeomorphic to the ``radial''
compactification obtained by Ney and Spitzer for the homogeneous random walks
in $\Z^d$ : convergence of a sequence of points $z_n\in\Z^{d-1}\times\N$ to a
point of on the Martin boundary does not imply convergence of the sequence
$z_n/|z_n|$ on the unit sphere $S^d$. Our approach relies on the large
deviation properties of the scaled processes and uses Pascal's method combined
with the ratio limit theorem. The existence of non-radial limits is related to
non-linear optimal large deviation trajectories.

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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: eess
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga