Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ballistic L\'evy walk with rests: Escape from a bounded domain   The L\'evy walk process for the lower interval of the time of flight
distribution ($\alpha<1$) and with finite resting time between consecutive
flights is discussed. The motion is restricted to a region bounded by two
absorbing barriers and the escape process is analysed. By means of a Poisson
equation, the total density, which includes both flying and resting phase, is
derived and the first passage time properties determined: the mean first
passage time appears proportional to the barrier position; moreover, the
dependence of that quantity on $\alpha$ is established. Two limits emerge from
the model: of short waiting time, that corresponds to L\'evy walks without
rests, and long waiting time which exhibits properties of a L\'evy flights
model. The similar quantities are derived for the case of a position-dependent
waiting time. Then the mean first passage time rises with barrier position
faster than for L\'evy flights model. The analytical results are compared with
Monte Carlo trajectory simulations.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an