Scale Invariance in Gamma-Ray Flares of the Sun and 3C 454.3

FK Peng, JJ Wei, HQ Wang - The Astrophysical Journal, 2023 - iopscience.iop.org
Using the gamma-ray flare samples of the Sun and 3C 454.3 observed by the Fermi
telescope, we investigate the statistical properties of sizes including fluence (energy), peak …

Universality of non-extensive Tsallis statistics and time series analysis: Theory and applications

GP Pavlos, LP Karakatsanis, MN Xenakis… - Physica A: Statistical …, 2014 - Elsevier
We investigate Tsallis q-statistics for various complex physical systems. In particular, the
Tsallis q-triplet is estimated for space plasmas, atmospheric dynamics, seismicity, and brain …

Non-extensive statistical mechanics: Overview of theory and applications in seismogenesis, climate, and space plasma

GP Pavlos, LP Karakatsanis, AC Iliopoulos… - Advances in Nonlinear …, 2018 - Springer
In this small review, the theoretical framework of non-extensive statistical theory, introduced
by Constantino Tsallis in 1988, is presented in relation with the q-triplet estimation …

Superstatistics, complexity and earthquakes: a brief review and application on Hellenic seismicity.

A Iliopoulos, D Chorozoglou… - … di Geofisica Teorica …, 2019 - search.ebscohost.com
A short overview on superstatistics applied in various complex systems is firstly provided by
roughly outlining the methodology, including the deduction of superstatistical parameters …

Tsallis non-extensive statistics and solar wind plasma complexity

GP Pavlos, AC Iliopoulos, GN Zastenker… - Physica A: Statistical …, 2015 - Elsevier
This article presents novel results revealing non-equilibrium phase transition processes in
the solar wind plasma during a strong shock event, which took place on 26th September …

Identification of suitable embedding dimensions and lags for time series generated by chaotic, finite-dimensional systems

A Perinelli, L Ricci - Physical Review E, 2018 - APS
In the field of nonlinear dynamics, many methods have been proposed to tackle the issue of
optimally setting embedding dimension and lag in order to analyze sampled scalar signals …

[HTML][HTML] Simple statistics for complex Earthquake time distributions

T Matcharashvili, T Hatano, T Chelidze… - Nonlinear Processes …, 2018 - npg.copernicus.org
Here we investigated a statistical feature of earthquake time distributions in the southern
California earthquake catalog. As a main data analysis tool, we used a simple statistical …

Assessment of the relative ratio of correlated and uncorrelated waiting times in the Southern California earthquakes catalogue

T Matcharashvili, T Chelidze, N Zhukova - Physica A: Statistical Mechanics …, 2015 - Elsevier
In the present study, we investigated the interevent time interval distribution of earthquakes
in Southern California. We analyzed and compared datasets of waiting times between …

Variation of the scaling characteristics of temporal and spatial distribution of earthquakes in Caucasus

T Matcharashvili, T Chelidze, Z Javakhishvili… - Physica A: Statistical …, 2016 - Elsevier
In the present study we investigated the character of variation of long-range correlations
features in earthquakes' temporal and spatial distribution in Caucasus. Scaling exponents of …

Changes in the dynamics of seismic process observed in the fixed time windows; case study for southern California 1980–2020

T Matcharashvili, Z Czechowski, T Chelidze… - Physics of the Earth and …, 2021 - Elsevier
In the present work we investigated changes in the extent of regularity (randomness) of
seismic process in fixed time span windows. A comparison with a set of randomized …