Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walk in mixed random environment without uniform ellipticity   We study a random walk in random environment on the non-negative integers.
The random environment is not homogeneous in law, but is a mixture of two kinds
of site, one in asymptotically vanishing proportion. The two kinds of site are
(i) points endowed with probabilities drawn from a symmetric distribution with
heavy tails at 0 and 1, and (ii) `fast points' with a fixed systematic drift.
Without these fast points, the model is related to the diffusion in
heavy-tailed (`stable') random potential studied by Schumacher and Singh; the
fast points perturb that model. The two components compete to determine the
behaviour of the random walk; we identify phase transitions in terms of the
model parameters. We give conditions for recurrence and transience, and prove
almost-sure bounds for the trajectories of the walk.

14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an