Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Directed random walks on polytopes with few facets   Let $P$ be a simple polytope with $n-d = 2$, where $d$ is the dimension and
$n$ is the number of facets. The graph of such a polytope is also called a
grid. It is known that the directed random walk along the edges of $P$
terminates after $O(\log^2 n)$ steps, if the edges are oriented in a
(pseudo-)linear fashion. We prove that the same bound holds for the more
general unique sink orientations.

32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
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The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an