Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-phase long-term autocorrelated diffusion: Stationary
  continuous-time Weierstrass walk vs. flight   In this paper we are examining diffusion properties of stationary
continuous-time Weierstrass walk (CTWW). We are showing it is a multi-phase
representation of the L\'evy walk. The hierarchical spatial-temporal coupling,
combined with coupling between dynamic variables define the CTWW process. The
walker moves here with a piecewise constant velocity between trajectory turning
points. We have found the diffusion phase diagram of the CTWW consisting not
only of anomalous non-Gaussian or non-fBm phases but also Brownian yet
non-Gaussian ones. We compare the diffusion phase diagram of the stationary
CTWW with the corresponding hierarchical continuous-time Weierstress flight
(CTWF). The instantaneous jumps between trajectory turning points preceded by
waiting define the CTWF process. It is a hierarchical representation of the
L\'evy flight. We have found the diffusion phase diagram of the CTWF to be a
small part of the corresponding CTWW one.

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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph