In this article we provide a combinatorial sufficient (and conjecturally, necessary) condition (called $\alpha$-symmetry) for the mating of two postcritically finite polynomials in $\mathcal{S}_1$ to be obstructed. To do this, study rotation sets associated parameter limbs connectedness locus $\mathcal{S}_1$, which allows us determine when there exist ray classes formal contain closed loop. We ...

To begin with, the network that enables millions of people to remain connected with each other irrespective of the caste, color and creed online is the Social Network. Social network is the boundary less network which had gained immense popularity in the last couple of years as more and more people are becoming wired. Interest of people is increasing in social networks and so is the usage of it...

“...I is this passion for beautiful colors that makes us paint as we do... and not the love of the ‘dot,’ as foolish people say,” wrote painter Paul Signac in his journal (1). He was defending the art movement started by his good friend and fellow artist George Seurat and built upon by Signac himself, Camille Pissarro, and others. This movement, divisionism or pointillism, was Seurat’s artistic...

Background: The exponential growth of smartphones has afforded many users with ubiquitous access to socialization as seen in the various mobile apps used to communicate and connect with others. The present study employed mixed-method approaches to analyse the impact of phubbing on social connectedness among adolescents in Malaysia. Methods:</stron...

We show that there exist two cubic polynomials with connected Julia sets which are combinatorially equivalent but not topologically conjugate on their Julia sets. This disproves a conjecture by McMullen from 1995. Introduction and result Let Pd = {z + ad−2z + · · · + a0} ↔ Cd−1 be the space of monic centered polynomials of degree d > 1. Our object is to show that there exists a cubic polynomial...

We develop a dynamical theory for the family of holomorphic correspondences Fa proved by current authors to be matings between modular group and parabolic rational maps in Milnor slice Per1(1) ([2]). Such mating endows complement limit set with geometry hyperbolic plane, equipped action group. introduce bi-infinite coding sequences geodesics this complement, utilising continued fraction express...

Let g be an integer ≥ 3 and let Bg = {X ∈ Mg |Aut(X) = 1d}, where Mg denotes the moduli space of compact Riemann surfaces of genus g. Using uniformization of Riemann surfaces by Fuchsian groups and the equisymmetric stratification of the branch locus of the moduli space, we prove that the subloci corresponding to Riemann surfaces with automorphism groups isomorphic to cyclic groups of order 2 a...

For a sequence \begin{document}$ (a_n) $\end{document} of complex numbers we consider the cubic parabolic polynomials f_n(z) = z^3+a_n z^2+z and (F_n) iterates F_n f_n\circ\dots\circ f_1 . The Fatou set \mathcal{F}_0 is all z\in\hat{\mathbb{C}} such that normal. complement called Julia denoted by \mathcal{J}_0 aim this paper to study some properties As particular case, when constant, a_n , then...

Genetic connectedness refers to a measure of genetic relatedness across management units (e.g., herds and flocks). With the presence of high genetic connectedness in management units, best linear unbiased prediction (BLUP) is known to provide reliable comparisons between estimated genetic values. Genetic connectedness has been studied for pedigree-based BLUP; however, relatively little attentio...