output
19932023
most citedGibrat's law for cities: uniformly most powerful unbiased test of the Pareto against the lognormal

184 citations

Showing 2002Show all

5 papers · 1 filter

math.PR2002

Small values of the maximum for the integral of fractional Brownian motion

G. M. Molchan, A. V. Khokhlov

We consider the integral of fractional Brownian motion (IFBM) and its functionals on the intervals and of the following types: the maximum , the positio…

cond-mat.stat-mech2002★ 14 cited

New Evidence of Discrete Scale Invariance in the Energy Dissipation of Three-Dimensional Turbulence: Correlation Approach and Direct Spectral Detection

W. -X. Zhou, D. Sornette, V. Pisarenko

We extend the analysis of [Zhou and Sornette, Physica D 165, 94-125, 2002] showing statistically significant log-periodic corrections to scaling in the moments of the energy dissip…

cond-mat.stat-mech2002★ 166 cited

Slider-Block Friction Model for Landslides: Application to Vaiont and La Clapiere Landslides

A. Helmstetter, D. Sornette, J. -R. Grasso +3

Accelerating displacements preceding some catastrophic landslides have been found empirically to follow a time-to-failure power law, corresponding to a finite-time singularity of t…

cond-mat.stat-mech2002★ 67 cited

Fractal Plate Tectonics

D. Sornette, V. F. Pisarenko

We analyze in details the statistical significance of the claim by Bird [2002] of a power law distribution of plate areas covering the Earth and confirm that the power law with exp…

cond-mat.stat-mech2002★ 40 cited

Rigorous statistical detection and characterization of a deviation from the Gutenberg-Richter distribution above magnitude 8 in subduction zones

V. F. Pisarenko, D. Sornette

We present a quantitative statistical test for the presence of a crossover c0 in the Gutenberg-Richter distribution of earthquake seismic moments, separating the usual power law re…