Titlebook: Lévy Flights and Related Topics in Physics; Proceedings of the I Micheal F. Shlesinger,George M. Zaslavsky,Uriel Fr Conference proceedings

溫和女人

A dynamical model leading to the breakdown of the Green-Kubo predictions,rge if this regime were unlimited, and a later regime, characterized by a constant conductivity but departing from the Green-Kubo prediction. We focus on the shape of the resulting distribution of particles, and we show that the anomalous properties of the response depend on one distribution tail growing much faster than the other.

FLOUR

PANIC

Conditionally-averaged dynamics of turbulence, new scaling and stochastic modelling,) are obtained from the Navier-Stokes equations (NSE) analytically and by directnumerical simulations. A hierarchy of new scales for coherent structures in threedimensional (3D) and 2D turbulence is obtained from a covariance analysis of NSE for local characteristics of motion (vorticity in 3D and v

Interlocking

,Observation of anomalous diffusion and Lévy flights,iched between two azimuthal jets. Automated image processing techniques are used to track the motions of neutrally buoyant tracer particles suspended in the flow. If the flow has periodic time dependence, the tracers typically follow chaotic trajectories, alternately sticking in vortices and flying

大方一點

大笑

Introduction to fractal sums of pulses,ffine random functions. Their versatility makes them useful in modeling. Their structure throws new conceptual light on the difficult issue of global statistical dependence, especially in the case of processes with infinite variance.

prick-test

Geometric constructions in multifractality formalism,tal object is a union of monofractal Cantor-like ones. The first “naive” approach uses a notion of a local dimension of a set or a measure, while the second one uses statistics of empty and full elements of partitions of the phase space for different scales.

教育學

Blowout bifurcations: Symmetry breaking of spatially symmetric chaotic states,ic extended systems that exhibit chaotic behavior of a spatially symmetric pattern. (Motion on . corresponds to spatial symmetry of the pattern.) Loss of stability transverse to . has been called a blowout bifurcation and corresponds to spatial symmetry breaking. It is shown that a blowout bifurcati

貪婪地吃

lattice

,From Lévy flights to the fractional kinetic equation for dynamical chaos,of a system. The probability distribution function satisfies the fractional in space and time generalization of the Fokker-Planck-Kolmogorov equation. Orders of the fractional derivatives in space and time can be connected to the Pesin‘s dimensions of the trajectories. A new look on the problem of M