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19992019
most citedFractional Fokker--Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises

182 citations · 220 across the 7 of their papers we have counts for

collaborators

7 papers

astro-ph.EP2019★ 11 cited

Topography of (exo)planets

François Landais, Frederic Schmidt, Shaun Lovejoy

Current technology is not able to map the topography of rocky exoplanets, simply because the objects are too faint and far away to resolve them. Nevertheless, indirect effect of to…

astro-ph.EP2018★ 21 cited

Multifractal topography of several planetary bodies in the Solar System

François Landais, Frédéric Schmidt, Shaun Lovejoy

Topography is the expression of both internal and external processes of a planetary body. Thus hypsometry (the study of topography) is a way to decipher the dynamic of a planet. Fo…

math.AP2004★ 182 cited

Fractional Fokker--Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises

D. Schertzer, M. Larchev, J. Duan +2

The Fokker-Planck equation has been very useful for studying dynamic behavior of stochastic differential equations driven by Gaussian noises. In this paper, we derive a Fractional…

cond-mat.stat-mech2001

Multifractal fluctuations in finance

F. Schmitt, D. Schertzer, S. Lovejoy

We consider the structure functions S^(q)(T), i.e. the moments of order q of the increments X(t+T)-X(t) of the Foreign Exchange rate X(t) which give clear evidence of scaling (S^(q…

chao-dyn1999★ 5 cited

Generalized Stable Multivariate Distribution and Anisotropic Dilations

D. Schertzer, M. Larcheveque, J. Duan +1

After having closely re-examined the notion of a Lévy's stable vector, it is shown that the notion of a stable multivariate distribution is more general than previously defined. In…

chao-dyn1999★ 1 cited

Fractional Fokker-Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises

D. Schertzer, M. Larchevêque, J. Duan +2

The Fokker-Planck equation has been very useful for studying dynamic behavior of stochastic differential equations driven by Gaussian noises. However, there are both theoretical an…