Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stationarity, time--reversal and fluctuation theory for a class of
  piecewise deterministic Markov processes   We consider a class of stochastic dynamical systems, called piecewise
deterministic Markov processes, with states $(x, \s)\in \O\times \G$, $\O$
being a region in $\bbR^d$ or the $d$--dimensional torus, $\G$ being a finite
set. The continuous variable $x$ follows a piecewise deterministic dynamics,
the discrete variable $\s$ evolves by a stochastic jump dynamics and the two
resulting evolutions are fully--coupled. We study stationarity, reversibility
and time--reversal symmetries of the process. Increasing the frequency of the
$\s$--jumps, we show that the system behaves asymptotically as deterministic
and we investigate the structure of fluctuations (i.e. deviations from the
asymptotic behavior), recovering in a non Markovian frame results obtained by
Bertini et al. \cite{BDGJL1, BDGJL2, BDGJL3, BDGJL4}, in the context of
Markovian stochastic interacting particle systems. Finally, we discuss a
Gallavotti--Cohen--type symmetry relation with involution map different from
time--reversal. For several examples the above results are recovered by
explicit computations.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph