Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical analysis of random trajectories of vibrated disks: towards a
  macroscopic realization of Brownian motion   We propose a macroscopic realization of planar Brownian motion by vertically
vibrated disks. We perform a systematic statistical analysis of many random
trajectories of individual disks. The distribution of increments is shown to be
almost Gaussian, with slight deviations at large increments caused by
inter-disk collisions. The velocity auto-correlation function takes both
positive and negative values at short lag times but rapidly vanishes. We
compare the empirical and theoretical distributions of time averaged mean
square displacements and discuss distinctions between its mean and mode. These
well-controlled experimental data can serve for validating statistical tools
developed for the analysis of single-particle trajectories in microbiology.

29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio