Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of clock processes in random environments and ageing in the
  p-spin SK model   We derive a general criterion for the convergence of clock processes in
random dynamics in random environments that is applicable in cases when
correlations are not negligible, extending recent results by Gayrard [(2010),
(2011), forthcoming], based on general criterion for convergence of sums of
dependent random variables due to Durrett and Resnick [Ann. Probab. 6 (1978)
829-846]. We demonstrate the power of this criterion by applying it to the case
of random hopping time dynamics of the p-spin SK model. We prove that on a wide
range of time scales, the clock process converges to a stable subordinator
almost surely with respect to the environment. We also show that a time-time
correlation function converges to the arcsine law for this subordinator, almost
surely. This improves recent results of Ben Arous, Bovier and Cerny [Comm.
Math. Phys. 282 (2008) 663-695] that obtained similar convergence results in
law, with respect to the random environment.

30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph