Kaniadakis functions beyond statistical mechanics: weakest-link scaling, power-law tails, and modified lognormal distribution

DT Hristopulos, A Baxevani - Entropy, 2022 - mdpi.com
Probabilistic models with flexible tail behavior have important applications in engineering
and earth science. We introduce a nonlinear normalizing transformation and its inverse …

New paleoseismic events reveal decamillenial recurrence time for large earthquakes (M≥ 7) along the Yuguang graben fault in North China

H Peng, W Zheng, S Dong, Q Lei, H Bi, X Wang… - Tectonophysics, 2023 - Elsevier
Paleoseismic studies are critical for the assessment and prediction of large earthquakes
(M≥ 7). These studies involve excavating and analyzing evidence from surface–rupturing …

The Weibull–log Weibull distribution for interoccurrence times of earthquakes

T Hasumi, T Akimoto, Y Aizawa - Physica A: Statistical Mechanics and its …, 2009 - Elsevier
By analyzing the Japan Meteorological Agency (JMA) seismic catalog for different tectonic
settings, we have found that the probability distributions of time intervals between …

Influence of vibration amplitude on dynamic triggering of slip in sheared granular layers

M Griffa, B Ferdowsi, RA Guyer, EG Daub… - Physical Review E …, 2013 - APS
We perform a systematic statistical investigation of the effect of harmonic boundary
vibrations on a sheared granular layer undergoing repetitive, fully dynamic stick-slip motion …

Mechanical properties of Portland cement concrete mixed with different doses of recycled brick powder and steel fiber

MM Moein, AM Moein, A Saradar, SE Rigby, H Tazari… - Heliyon, 2025 - cell.com
This research investigates the mechanical properties of Portland Cement Concrete (PCC),
incorporating recycled brick powder (RBP) and steel fibers and addressing sustainability …

Finite-size effects on return interval distributions for weakest-link-scaling systems

DT Hristopulos, MP Petrakis, G Kaniadakis - Physical Review E, 2014 - APS
The Weibull distribution is a commonly used model for the strength of brittle materials and
earthquake return intervals. Deviations from Weibull scaling, however, have been observed …

Error propagation in time-dependent probability of occurrence for characteristic earthquakes in Italy

L Peruzza, B Pace, F Cavallini - Journal of Seismology, 2010 - Springer
Time-dependent models for seismic hazard and earthquake probabilities are at the leading
edge of research nowadays. In the framework of a 2-year national Italian project (2005 …

Weakest-link scaling and extreme events in finite-sized systems

DT Hristopulos, MP Petrakis, G Kaniadakis - Entropy, 2015 - mdpi.com
Weakest-link scaling is used in the reliability analysis of complex systems. It is characterized
by the extensivity of the hazard function instead of the entropy. The Weibull distribution is the …

Post-seismic reloading and temporal clustering on a single fault

CJ DiCaprio, M Simons, SJ Kenner… - Geophysical Journal …, 2008 - academic.oup.com
Geological studies show evidence for temporal clustering of large earthquakes on individual
fault systems. Since post-seismic deformation due to the inelastic rheology of the lithosphere …

Bayesian estimation for a parametric Markov renewal model applied to seismic data

I Epifani, L Ladelli, A Pievatolo - 2014 - projecteuclid.org
This paper presents a complete methodology for Bayesian inference on a semi-Markov
process, from the elicitation of the prior distribution, to the computation of posterior …