Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum L\'evy Processes and Fractional Kinetics   Exotic stochastic processes are shown to emerge in the quantum evolution of
complex systems. Using influence function techniques, we consider the dynamics
of a system coupled to a chaotic subsystem described through random matrix
theory. We find that the reduced density matrix can display dynamics given by
L\'evy stable laws. The classical limit of these dynamics can be related to
fractional kinetic equations. In particular we derive a fractional extension of
Kramers equation.

14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg