Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symbolic dynamics techniques for complex systems: Application to share
  price dynamics   The symbolic dynamics technique is well-known for low-dimensional dynamical
systems and chaotic maps, and lies at the roots of the thermodynamic formalism
of dynamical systems. Here we show that this technique can also be successfully
applied to time series generated by complex systems of much higher
dimensionality. Our main example is the investigation of share price returns in
a coarse-grained way. A nontrivial spectrum of Renyi entropies is found. We
study how the spectrum depends on the time scale of returns, the sector of
stocks considered, as well as the number of symbols used for the symbolic
description. Overall our analysis confirms that in the symbol space transition
probabilities of observed share price returns depend on the entire history of
previous symbols, thus emphasizing the need for a modelling based on
non-Markovian stochastic processes. Our method allows for quantitative
comparisons of entirely different complex systems, for example the statistics
of symbol sequences generated by share price returns using 4 symbols can be
compared with that of genomic sequences.

7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
18
The categories of this paper are: econ
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys