Entropy measures, entropy estimators, and their performance in quantifying complex dynamics: Effects of artifacts, nonstationarity, and long-range correlations
Entropy measures are widely applied to quantify the complexity of dynamical systems in
diverse fields. However, the practical application of entropy methods is challenging, due to …
diverse fields. However, the practical application of entropy methods is challenging, due to …
Order parameter and entropy of seismicity in natural time before major earthquakes: recent results
A lot of work in geosciences has been completed during the last decade on the analysis in
the new concept of time, termed natural time, introduced in 2001. The main advances are …
the new concept of time, termed natural time, introduced in 2001. The main advances are …
Evidence of critical dynamics in various electromagnetic precursors
A wide variety of electromagnetic phenomena possibly related with earthquake (EQ)
preparation processes have been reported in the literature during the last few decades. An …
preparation processes have been reported in the literature during the last few decades. An …
Natural time analysis of critical phenomena
A quantity exists by which one can identify the approach of a dynamical system to the state
of criticality, which is hard to identify otherwise. This quantity is the variance of natural time χ …
of criticality, which is hard to identify otherwise. This quantity is the variance of natural time χ …
Long-memory processes in ozone and temperature variations at the region 60 S–60 N
Global column ozone and tropospheric temperature observations made by ground-based
(1964–2004) and satellite-borne (1978–2004) instrumentation are analyzed. Ozone and …
(1964–2004) and satellite-borne (1978–2004) instrumentation are analyzed. Ozone and …
Nonextensivity and natural time: The case of seismicity
Nonextensive statistical mechanics, pioneered by Tsallis, has recently achieved a
generalization of the Gutenberg-Richter law for earthquakes. This remarkable generalization …
generalization of the Gutenberg-Richter law for earthquakes. This remarkable generalization …
Scale-specific order parameter fluctuations of seismicity in natural time before mainshocks
We have previously shown that the probability distribution of the order parameter κ 1 of
seismicity in natural time turns to be bimodal when approaching a mainshock. This reflects …
seismicity in natural time turns to be bimodal when approaching a mainshock. This reflects …
Criticality indices provided by the evolution of pressure stimulated currents and acoustic emissions in the natural time domain
The target of this study is to detect the existence of criticality indices, namely, indices which
may be considered as in-time warning signals about the entrance of a mechanically loaded …
may be considered as in-time warning signals about the entrance of a mechanically loaded …
Investigation of seismicity after the initiation of a Seismic Electric Signal activity until the main shock
The behavior of seismicity in the area candidate to suffer a main shock is investigated after
the observation of the Seismic Electric Signal activity until the impending main shock. This is …
the observation of the Seismic Electric Signal activity until the impending main shock. This is …
Attempt to distinguish long-range temporal correlations from the statistics of the increments by natural time analysis
Self-similarity may originate from two origins: ie, the process memory and the process'
increments “infinite” variance. A distinction is attempted by employing the natural time χ …
increments “infinite” variance. A distinction is attempted by employing the natural time χ …