Exotic stochastic processes are shown to emerge in the quantum evolution of complex systems Using in uence func tion techniques we consider the dynamics of a system coupled to a chaotic subsystem described through random matrix the ory We nd that the reduced density matrix can display dy namics given by L evy stable laws The classical limit of these dynamics can be related to fractional kinetic...

The E-Resolut ion inference p r i n c i p l e described in t h i s paper is a s ing le in fe rence l og i c system f o r the f i r s t o r d e r predicate ca lcu lus w i t h equality. Special axioms f o r equa l i t y ( i . e . , axioms f o r symmetry, r e f l e x i v i t y , t r a n s i t i v i t y , and s u b s t i t u t i v i t y ) are not requi red to be added to the o r i g i n a l set of ...

A one-parameter generalization of the hierarchy negative flows is introduced for integrable hierarchies evolution equations, which yields a wider (new) class non-evolutionary nonlinear wave equations. As main results, several integrability properties these generalized flow equation are established, including their symmetry structure, conservation laws, and bi-Hamiltonian formulation. (The resul...

1 This paper presents a methodology to guide equa-tional reasoning in a goal directed way. Suggested by rippling methods developed in the eld of inductive theorem proving we use attributes of terms and heuristics to determine bridge lemmas, i.e. lemmas which have to be used during the proof of the theorem. Once we have found such a bridge lemma we use the techniques of diierence uniication and ...

Korea Atomic Energy Research Institute (KA 305-600, Korea Department of Materials Science and Eng Materials, Seoul National University, 599 Korea. E-mail: [email protected] Center for Nanoparticle Research, Instit University, Seoul 151-742, Korea Department of Materials Science and Engine and Technology (KAIST), 291 Daehak-ro, Yu Materials and Process Simulation Cente Technology, 1200 East Cal...

242 A dispersion are considered to be the dominant mechanisms of solute transport in the vadose zone, i.e., the variably saturated layer of soils and sediments between the soil surface and groundwater table (Jury and Flühler, 1992). Advection is associated with the average water fl ux or velocity, whereas hydrodynamic dispersion is modeled using an analog of Fick’s law corresponding to the Brow...

Equa,tions governing the current system in the upper layers of oceans and lakes were derived by Craik & Leibovich (1976). These incorporate the dominant effects of both wind a,nd waves. Solutions comprising the mean wind-driven current and a system of ' Langmuir ' cells aligned parallel to the wind were found for cases in which the wave field consisted of just a pair of plane waves. However, it...