On critical renormalization of complex polynomials

Complex Bounds for Renormalization of Critical Circle Maps

We use the methods developed with M. Lyubich for proving complex bounds for real quadratics to extend E. De Faria's complex a priori bounds to all critical circle maps with an irrational rotation number. The contracting property for renormalizations of critical circle maps follows. As another application of our methods we present a new proof of theorem of C. Pe-tersen on local connectivity of s...

the effect of using critical discourse analytical tools on the improvement of the learners level of critical thinking in reading comprehension

?it is of utmost priority for an experienced teacher to train the mind of the students, and enable them to think critically and correctly. the most important question here is that how to develop such a crucial ability? this study examines a new way to the development of critical thinking utilizing critical discourse analytical tools. to attain this goal, two classes of senior english la...

Renormalization Group for Critical Phenomena in Complex Networks

We discuss the behavior of statistical models on a novel class of complex "Hanoi" networks. Such modeling is often the cornerstone for the understanding of many dynamical processes in complex networks. Hanoi networks are special because they integrate small-world hierarchies common to many social and economical structures with the inevitable geometry of the real world these structures exist in....

Renormalization group on complex networks

In this article, I describe a renormalization group approach for complex networks, as applied by Rozenfeld et.al. in 1. A large number of naturally occuring networks are scale-free, i.e. display a powerlaw degree distribution 2. Moreover, many of these networks display both the small world property, and fractal characteristics. The RG approach demonstrates a transition between fractal and small...

Rational Rays and Critical Portraits of Complex Polynomials