Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistics of occupation time and connection to local properties of
  non-homogeneous random walks   We consider the statistics of occupation times, the number of visits at the
origin and the survival probability for a wide class of stochastic processes,
which can be classified as renewal processes. We show that the distribution of
these observables can be characterized by a single parameter, that is connected
to a local property of the probability density function (PDF) of the process,
viz., the probability of occupying the origin at time $t$, $P(t)$. We test our
results for two different models of lattice random walks with spatially
inhomogeneous transition probabilities, one of which of non-Markovian nature,
and find good agreement with theory. We also show that the distributions depend
only on the occupation probability of the origin by comparing them for the two
systems: when $P(t)$ show the same long-time behavior, each observable follows
indeed the same distribution.

19
The categories of this paper are: eess
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex