In this paper, we study the construction of α-conformally equivalent statistical manifolds for a given symmetric cubic form on a Riemannian manifold. In particular, we describe a method to obtain α-conformally equivalent connections from the relation between tensors and the symmetric cubic form.

For linear hybrid systems consisting of linear dynamic equations interacting with linear threshold events, automata, and logic propositions, provided in mixedlogical dynamical (MLD) form, this paper describes an efficient technique for transforming such systems into an equivalent piecewise affine (PWA) form, where equivalent means that for the same initial conditions and input sequences the tra...

We have observed a flourishing literature in recent years on the use of CGE models to perform poverty and income distribution analysis. In this context two approaches have emerged and no rigorous comparison of the two approaches has been done yet. The first approach is the traditional representative agent that has been used for a number of year to do inter group distributional analysis and more...

We calculate analytically the distributions of ”level curvatures” (LC) (the second derivatives of eigenvalues with respect to a magnetic flux) for a particle moving in a white-noise random potential. We find that the Zakrzewski-Delande conjecture [11] is still valid even if the lowest weak localization corrections are taken into account. The ratio of mean level curvature modulus to mean dissipa...