Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walks on dynamical percolation: mixing times, mean squared
  displacement and hitting times   We study the behavior of random walk on dynamical percolation. In this model,
the edges of a graph G are either open or closed and refresh their status at
rate \mu\ while at the same time a random walker moves on G at rate 1 but only
along edges which are open. On the d-dimensional torus with side length n, we
prove that in the subcritical regime, the mixing times for both the full system
and the random walker are n^2/\mu\ up to constants. We also obtain results
concerning mean squared displacement and hitting times. Finally, we show that
the usual recurrence transience dichotomy for the lattice Z^d holds for this
model as well.

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The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol