Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small deviations of stable processes and entropy of the associated
  random operators   We investigate the relation between the small deviation problem for a
symmetric $\alpha$-stable random vector in a Banach space and the metric
entropy properties of the operator generating it. This generalizes former
results due to Li and Linde and to Aurzada. It is shown that this problem is
related to the study of the entropy numbers of a certain random operator. In
some cases, an interesting gap appears between the entropy of the original
operator and that of the random operator generated by it. This phenomenon is
studied thoroughly for diagonal operators. Basic ingredients here are
techniques related to random partitions of the integers. The main result
concerning metric entropy and small deviations allows us to determine or
provide new estimates for the small deviation rate for several symmetric
$\alpha$-stable random processes, including unbounded Riemann--Liouville
processes, weighted Riemann--Liouville processes and the ($d$-dimensional)
$\alpha$-stable sheet.

4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int