globalization is a phenomenon of recent times. the world economy is moving towards a more intense & integrated status while at the same time local economies are becoming more interdependent. the fast pace of globalization and how to tackle the offspring ’s of such a movement have become a major challenge for the whole world as a whole in general and for the developing countries in particular. c...

Patterns in nature result from dynamic relationships of forces and constraints. What is analogous for patterns in art? Art is created by human hands motivated by inspiration and thought. It is the product of creativity and skill. Creativity is constrained by cognitive processes and skill by the limits of technology. Based upon the author’s studies of Oriental carpets, this paper suggests that p...

In [4] an informal algorithm ’to display interesting numeric patterns’ is described without any proof. We generalize this algorithm over arbitrary finite fields of characteristic p and we prove that it really generates self-similar carperts, provided that they contain at least one zero in the first (p+1)/2 lines. For the fields Fp the generalized algorithm produces p− 1 different self-similar c...

We achieve on self-affine Sierpinski carpets the multifractal analysis of the Birkhoff averages of potentials satisfying a Dini condition. Given such a potential, the corresponding Hausdorff spectrum cannot be deduced from that of the associated Gibbs measure by a simple transformation. Indeed, these spectra are respectively obtained as the Legendre transform of two distinct concave differentia...

The propagation by continuous-time quantum walks (CTQWs) on one-dimensional lattices shows structures in the transition probabilities between different sites reminiscent of quantum carpets. For a system with periodic boundary conditions, we calculate the transition probabilities for a CTQW by diagonalizing the transfer matrix and by a Bloch function ansatz. Remarkably, the results obtained for ...