This paper is a follow-up of our recent papers [CS08] and [CS09] covering the two-particle Anderson model. Here we establish the phenomenon of Anderson localisation for a quantum N -particle system on a lattice Z with short-range interaction and in presence of an IID external potential with sufficiently regular marginal cumulative distribution function (CDF). Our main method is an adaptation of...

Nonlinear estimation of turbulence and vortical structures has many applications in engineering and in geophysical sciences. In [18] and [41], mathematical foundation of nonlinear filtering methods was developed for viscous flow and for reacting and diffusing systems. The current work is in part an effort to contribute towards concrete computational methods to solve the nonlinear filtering equa...

a two-dimensional (2d) single particle model for the copolymerization of propylene-ethylene with heterogeneous ziegler-natta catalyst is developed. the model accounts for the effects of the initial shape of the catalyst and carck/ pore patterns on the copolymer composition, polymerization rate and the average molecular weight properties. the spherical and oblate ellipsoidal shapes of catalyst p...