170 citations · 1.2k across the 60 of their papers we have counts for
5 papers · 1 filter
The unpredicted scaling of the one-dimensional Kardar-Parisi-Zhang equation
Côme Fontaine, Francesco Vercesi, Marc Brachet +1
The celebrated Kardar-Parisi-Zhang (KPZ) equation describes the kinetic roughening of stochastically growing interfaces. In one dimension, the KPZ equation is exactly solvable and…
Lévy on-off intermittency
Adrian van Kan, Alexandros Alexakis, Marc-Etienne Brachet
We present a new form of intermittency, Lévy on-off intermittency, which arises from multiplicative -stable white noise close to an instability threshold. We study this problem…
Energy cascade with small-scales thermalization, counterflow metastability and anomalous velocity of vortex rings in Fourier-truncated Gross-Pitaevskii equation
Giorgio Krstulovic, Marc Brachet
The statistical equilibria of the dynamics of the Gross-Pitaevskii Equation (GPE) with a finite range of spatial Fourier modes are characterized using a new algorithm, based on a s…
Anomalous vortex ring velocities induced by thermally-excited Kelvin waves and counterflow effects in superfluids
Giorgio Krstulovic, Marc Brachet
Dynamical counterflow effects on vortex evolution under the truncated Gross-Pitaevskii equation are investigated. Standard longitudinal mutual friction effects are produced and a d…
Scaling transformation and probability distributions for financial time series
Marc-Etienne Brachet, Erik Taflin, Jean Marcel Tcheou
The price of financial assets are, since Bachelier, considered to be described by a (discrete or continuous) time sequence of random variables, i.e a stochastic process. Sharp scal…