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

184 citations

Showing 2009Show all

7 papers · 1 filter

nlin.CD2009★ 28 cited

The Monge-Ampere equation: various forms and numerical methods

V. Zheligovsky, O. Podvigina, U. Frisch

We present three novel forms of the Monge-Ampere equation, which is used, e.g., in image processing and in reconstruction of mass transportation in the primordial Universe. The cen…

physics.data-an2009★ 184 cited

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

Y. Malevergne, V. Pisarenko, D. Sornette

We address the general problem of testing a power law distribution versus a log-normal distribution in statistical data. This general problem is illustrated on the distribution of…

physics.geo-ph2009★ 37 cited

Distribution of Maximum Earthquake Magnitudes in Future Time Intervals, Application to the Seismicity of Japan (1923-2007)

V. F. Pisarenko, D. Sornette, M. V. Rodkin

We modify the new method for the statistical estimation of the tail distribution of earthquake seismic moments introduced by Pisarenko et al. [2009] and apply it to the earthquake…

nlin.CD2009★ 21 cited

Dependence of magnetic field generation by thermal convection on the rotation rate: a case study

R. Chertovskih, S. M. A. Gama, O. Podvigina +1

Dependence of magnetic field generation on the rotation rate is explored by direct numerical simulation of magnetohydrodynamic convective attractors in a plane layer of conducting…

nlin.CD2009★ 2 cited

Determination of a flow generating a neutral magnetic mode

V. Zheligovsky

The problem of reconstruction of a flow of conducting incompressible fluid generating a given magnetic mode is considered. We use the magnetic induction equation to derive ordinary…

nlin.CD2009★ 2 cited

Generation of a symmetric magnetic field by thermal convection in a plane rotating layer

V. Zheligovsky

We investigate numerically magnetic field generation by thermal convection with square periodicity cells in a rotating horizontal layer of electrically-conducting fluid with stress…

physics.geo-ph2009

Mathematical principles of predicting the probabilities of large earthquakes

V. M. Ghertzik

A multicomponent random process used as a model for the problem of space-time earthquake prediction; this allows us to develop consistent estimation for conditional probabilities o…