Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relations between anomalous diffusion and fluctuation scaling: The case
  of ultraslow diffusion and time-scale-independent fluctuation scaling in
  language   Fluctuation scaling (FS) and anomalous diffusion have been discussed in
different contexts, even though both are often observed in complex systems. To
clarify the relationship between these concepts, we investigated approximately
three billion Japanese blog articles over a period of six years and analyzed
the corresponding Poisson process driven by a random walk model with power-law
forgetting, which reproduces both the anomalous diffusion and the FS. From the
analysis of the model, we have identified the relationship between the
time-scale dependence of FS and characteristics of anomalous diffusion and
showed that the time-scale-independent FS corresponds to essentially a
logarithmic diffusion (i.e., a kind of ultraslow diffusion). In addition, we
confirmed that this relationship is also valid for the actual data. This
finding may contribute to the discovery of actual examples of ultraslow
diffusion, which have been nearly unobserved in spite of many mathematical
theories, because we can detect the time-scale-independent FS more easily and
more distinctly than through direct detection of the logarithmic diffusion
based on the mean squared displacement.

24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an