A novel approach for nonlinear stochastic dynamic analysis is proposed and illustrated with
nonlinear building structures subjected to mainshock–aftershock sequences. First, a …

It is of great significance for disaster prevention to study the influence of mainshock-
aftershock sequences on reliability of the soil slope. Considering the uncertainty of the …

The hierarchical organization and emergence of scaling laws in complex systems—
geophysical, biological, technological, and socioeconomic—have been the topic of …

According to the current seismic codes, structures are designed to resist the first damaging
earthquake during their service life. However, after a strong main shock, a structure may still …

During their typical design working life, structures are subjected to multiple sequential
earthquakes that are divided into clusters of mainshocks and aftershocks. In consequence …

The Horton laws originated in hydrology with a 1945 paper by Robert E. Horton, and for a
long time remained a purely empirical finding. Ubiquitous in hierarchical branching systems …

We propose a theoretical modelling framework for earthquake occurrence and clustering
based on a family of invariant Galton–Watson (IGW) stochastic branching processes. The …

The hierarchical organization and self-similarity in river basins have been topics of extensive
research in hydrology and geomorphology starting with the pioneering work of Horton in …

The epidemic type aftershock sequence (ETAS) statistical model of aftershock seismicity
combines various earthquake scaling relations to produce synthetic earthquake catalogs, or …

The Tokunaga condition is an algebraic rule that provides a detailed description of the
branching structure in a self-similar tree. Despite a solid empirical validation and practical …