ha o - dy n / 93 07 00 3 v 1 1 1 Ju l 1 99 3 Relaxation and Localization in Interacting Quantum Maps

ha o - dy n / 93 07 01 1 v 1 2 6 Ju l 1 99 3 Advection of vector fields by chaotic flows 1

" The high average vorticity that is known to exist in turbulent motion is caused by the extension of vortex filaments in an eddying fluid. "

ar X iv : c ha o - dy n / 99 10 00 5 v 1 6 O ct 1 99 9 The Finite - Difference Analysis and Time Flow

ha o - dy n / 96 07 01 9 v 1 3 1 Ju l 1 99 6 Thermodynamic formalism and localization in Lorentz gases and hopping models

The thermodynamic formalism expresses chaotic properties of dy-namical systems in terms of the Ruelle pressure ψ(β). The inverse-temperature like variable β allows one to scan the structure of the probability distribution in the dynamic phase space. This formalism is applied here to a Lorentz Lattice Gas, where a particle moving on a lattice of size L d collides with fixed scatterers placed at ...

ha o - dy n / 97 06 01 3 v 2 3 1 Ju l 1 99 7 An Exact Renormalization Group analysis of 3 − d Well Developed turbulence ∗

We take advantage of peculiar properties of three dimensional incompressible turbulence to introduce a nonstandard Exact Renormalization Group method. A Galilean invariance preserving regularizing procedure is utilized and a field truncation is adopted to test the method. Results are encouraging: the energy spectrum E(k) in the inertial range scales with exponent −1.666±0.001 and the Kolmogorov...

ha o - dy n / 99 10 00 3 v 1 3 O ct 1 99 9 Chaotic Properties of Subshifts Generated by a Non - Periodic Recurrent Orbit July 1999 Xin -

The chaotic properties of some subshift maps are investigated. These subshifts are the orbit closures of certain non-periodic recurrent points of a shift map. We first provide a review of basic concepts for dynamics of continuous maps in metric spaces. These concepts include nonwandering point, recurrent point, eventually periodic point, scrambled set, sensitive dependence on initial conditions...