Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Persistence exponent for random processes in Brownian scenery   In this paper we consider the persistence properties of random processes in
Brownian scenery, which are examples of non-Markovian and non-Gaussian
processes. More precisely we study the asymptotic behaviour for large $T$, of
the probability $P[ \sup\_{t\in[0,T]} \Delta\_t \leq 1] $ where $\Delta\_t =
\int\_{\mathbb{R}} L\_t(x) \, dW(x).$ Here $W={W(x); x\in\mathbb{R}}$ is a
two-sided standard real Brownian motion and ${L\_t(x); x\in\mathbb{R},t\geq 0}$
is the local time of some self-similar random process $Y$, independent from the
process $W$. We thus generalize the results of \cite{BFFN} where the increments
of $Y$ were assumed to be independent.

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The categories of this paper are: supr-con
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th