Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aging power spectrum of membrane protein transport and other
  subordinated random walks   Single-particle tracking offers detailed information about the motion of
molecules in complex environments such as those encountered in live cells, but
the interpretation of experimental data is challenging. One of the most
powerful tools in the characterization of random processes is the power
spectral density. However, because anomalous diffusion processes in complex
systems are usually not stationary, the traditional Wiener-Khinchin theorem for
the analysis of power spectral densities is invalid. Here, we employ a recently
developed tool named aging Wiener-Khinchin theorem to derive the power spectral
density of fractional Brownian motion coexisting with a scalefree continuous
time random walk, the two most typical anomalous diffusion processes. Using
this analysis, we characterize the motion of voltage-gated sodium channels on
the surface of hippocampal neurons. Our results show aging where the power
spectral density can either increase or decrease with observation time
depending on the specific parameters of both underlying processes.

6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom