Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walks are determined by their trace on the positive half-line   We prove that the law of a random walk $X_n$ is determined by the
one-dimensional distributions of $\max(X_n, 0)$ for $n = 1, 2, \ldots$, as
conjectured recently by Lo\"ic Chaumont and Ron Doney. Equivalently, the law of
$X_n$ is determined by its upward space-time Wiener-Hopf factor. Our methods
are complex-analytic.

10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int