Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subdiffusive master equation with space dependent anomalous exponent:
  `Black Swan' effects   We derive the fractional master equation with space dependent anomalous
exponent. We analyze the asymptotic behavior of corresponding lattice model
both analytically and by Monte Carlo simulation. We show that the subdiffusive
fractional equations with constant anomalous exponent $\mu $ in a bounded
domain $[ 0,L]$ are not structurally stable with respect to the non-homogeneous
variations of parameter $\mu $. In particular, the Gibbs-Boltzmann distribution
is no longer the stationary solution of the fractional Fokker-Planck equation
whatever the space variation of the exponent might be. We analyze the random
distribution of $% \mu$ in space and find that in the long time limit, the
probability distribution is highly intermediate in space and the behavior is
completely dominated by very unlikely events.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph