Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Detecting and interpreting distortions in hierarchical organization of
  complex time series   Hierarchical organization is a cornerstone of complexity and multifractality
constitutes its central quantifying concept. For model uniform cascades the
corresponding singularity spectra are symmetric while those extracted from
empirical data are often asymmetric. Using the selected time series
representing such diverse phenomena like price changes and inter-transaction
times in the financial markets, sentence length variability in the narrative
texts, Missouri River discharge and Sunspot Number variability as examples, we
show that the resulting singularity spectra appear strongly asymmetric, more
often left-sided but in some cases also right-sided. We present a unified view
on the origin of such effects and indicate that they may be crucially
informative for identifying composition of the time series. One particularly
intriguing case of this later kind of asymmetry is detected in the daily
reported Sunspot Number variability. This signals that either the commonly used
famous Wolf formula distorts the real dynamics in expressing the largest
Sunspot Numbers or, if not, that their dynamics is governed by a somewhat
different mechanism.

21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math