title: Renormalization group theory of anomalous transport in systems with Hamiltonian chaos.
abstract: We present a general scheme to describe particle kinetics in the case of incomplete Hamiltonian chaos when a set of islands of stability forms a complicated fractal space-time dynamics and when there is orbit stickiness to the islands' boundary. This kinetics is alternative to the "normal" Fokker-Planck-Kolmogorov equation. A new kinetic equation describes random wandering in the fractal space-time. Critical exponents of the anomalous kinetics are expressed through dynamical characteristics of a Hamiltonian using the renormalization group approach. Renormalization transformation has been applied simultaneously for space and time and fractional calculus has been exploited.
authors.affiliation: Courant Institute of Mathematical Sciences, and Department of Physics, New York University, New York, New York 10012.
authors.forename: G. M.
authors.initials: GM
authors.lastname: Zaslavsky