Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Problem of Small Unilateral Deviations: the Existence of Decay
  Exponents   Let x(s), s in R^d be a Gaussian self-similar random process of index H. We
consider the problem of log-asymptotics for the probability p(T) that x(s),
x(0)=0 does not exceed a fixed level in a star-shaped expanding domain TxG as
T>>1. We solve the problem of the existence of the limit, theta:=lim (-log
p(T))/(log T)^D, T>>1, for the fractional Brownian sheet x(s)on [0,T]^2 then
D=2 and we estimate the theta for the integrated fractional Brownian motion
then D=1.

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The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an