Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Path-wise versus kinetic modeling for equilibrating non-Langevin
  jump-type processes   We discuss two independent methods of solution of a master equation whose
biased jump transition rates account for long jumps of L\'{e}vy-stable type and
nonetheless admit a Boltzmannian (thermal) equilibrium to arise in the large
time asymptotics of a probability density function $\rho (x,t)$. Our main goal
is to demonstrate a compatibility of a {\it direct} solution method (an
explicit, albeit numerically assisted, integration of the master equation) with
an {\it indirect} path-wise procedure, recently proposed in [Physica {\bf A
392}, 3485, (2013)] as a valid tool for a dynamical analysis of non-Langevin
jump-type processes. The path-wise method heavily relies on an accumulation of
large sample path data, that are generated by means of a properly tailored
Gillespie's algorithm. Their statistical analysis in turn allows to infer the
dynamics of $\rho (x,t)$. However, no consistency check has been completed so
far to demonstrate that both methods are fully compatible and indeed provide a
solution of the same dynamical problem. Presently we remove this gap, with a
focus on potential deficiencies (various cutoffs, including those upon the jump
size) of approximations involved in solution protocols.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th