184 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- V. Zheligovsky20 · h 13
- G. Molchan4 profiles19 · h 21
- D. Sornette3 profiles17 · h 91
- V. Pisarenko16 · h 24
- O. Podvigina14 · h 13
- R. Novikov2 profiles8 · h 25
- R. Chertovskih2 profiles7 · h 8
- U. Frisch6 · h 57
- P. Grinevich2 profiles5 · h 22
- Vladimir Keilis-Borok5 · h 8
- A. Mazel4 · h 13
- J. Lebowitz2 profiles4 · h 90
- Centre National de la Recherche ScientifiqueFR35 papers
- Russian Academy of SciencesRU26 papers
- Observatoire de la Côte d’AzurFR20 papers
- École PolytechniqueFR13 papers
- Lomonosov Moscow State UniversityRU12 papers
- University of California, Los AngelesUS12 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR11 papers
- Landau Institute for Theoretical PhysicsRU10 papers
- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT10 papers
- Universidade do PortoPT9 papers
- Institut de Physique de NiceFR8 papers
- ETH ZurichCH7 papers
11 papers · 1 filter
Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile
Alexander Shapoval, Mikhail Shnirman
With the original Bak-Tang-Wisenefeld (BTW) sandpile we uncover the noise in the mechanism maintaining self-organized criticality (SOC) - the question raised together with th…
Probability Distribution in a Close Proximity of the Bak-Tang-Wiesenfeld Sandpile
A. Shapoval, B. Shapoval, M. Shnirman
The mechanism of self-organized criticality is based on a steady slow loading and a quick huge stress-release. We add the clustering of the events in space and time to the Bak-Tang…
Common dependence on stress for the statistics of granular avalanches and earthquakes
Takahiro Hatano, Clément Narteau, Peter Shebalin
The statistical properties of avalanches in a dissipative particulate system under slow shear are investigated using molecular dynamics simulations. It is found that the magnitude-…
Randmoness and Step-like Distribution of Pile Heights in Avalanche Models
A. B. Shapoval, M. G. Shnirman
The paper develops one-parametric family of the sand-piles dealing with the grains' local losses on the fixed amount. The family exhibits the crossover between the models with dete…
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…
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…
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…
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…
Characterization of the frequency of extreme events by the Generalized Pareto Distribution
V. F. Pisarenko, D. Sornette
Based on recent results in extreme value theory, we use a new technique for the statistical estimation of distribution tails. Specifically, we use the Gnedenko-Pickands-Balkema-de…
Ordering and Demixing Transitions in Multicomponent Widom-Rowlinson Models
J. L. Lebowitz, A. Mazel, P. Nielaba +1
We use Monte Carlo techniques and analytical methods to study the phase diagram of multicomponent Widom-Rowlinson models on a square lattice: there are M species all with the same…
On the uniqueness of Gibbs states in the Pirogov-Sinai theory
J. L. Lebowitz, A. E. Mazel
We prove that, for low-temperature systems considered in the Pirogov-Sinai theory, uniqueness in the class of translation-periodic Gibbs states implies global uniqueness, i.e. the…