concentrations of cooper, zinc, iron, manganese, cadmium, lead and nickel in the semen of rabbits (n=27) in relation to spermatozoa quality were evaluated. samples were analyzed on an atomic absorption spectrophotometer (Unicam solar 939). For analysis of pathological spermatozoa semen samples were fixed in Hancock ́s solution and stained with Giemsa dye. For each rabbit at least 500 spermatozoa...

This paper presents an eigenvalue algorithm for accurately computing the Hausdorr dimension of limit sets of Kleinian groups and Julia sets of rational maps. The algorithm is applied to Schottky groups, quadratic polynomials and Blaschke products, yielding both numerical and theoretical results. Dimension graphs are presented for (a) the family of Fuchsian groups generated by reeections in 3 sy...

A first example of a connection between transcendental numbers and complex dynamics is the following. Let p and q be polynomials with complex coefficients of the same degree. A classical result of Böttcher states that p and q are locally conjugates in a neighborhood of∞: there exists a function f , conformal in a neighborhood of infinity, such that f(p(z)) = q(f(z)). Under suitable assumptions,...

Introduction The following notes provide an introduction to recent work of Branner, Hubbard and Yoccoz on the geometry of polynomial Julia sets. They are an expanded version of lectures given in Stony Brook in Spring 1992. I am indebted to help from the audience. Section 1 describes unpublished work by J.-C. Yoccoz on local connectivity of quadratic Julia sets. It presents only the " easy " par...

Monopoles play a center role in gauge theories and topological matter. There are two fundamental types of monopoles physics: vector tensor monopoles. Examples include the Dirac monopole three dimensions Yang five dimensions, which have been extensively studied observed condensed matter or artificial systems. However, less studied, their observation has not reported. Here we experimentally const...

In lab-scale Faraday experiments, meniscus waves respond harmonically to small-amplitude forcing without threshold, hence potentially cloaking the instability onset of parametric waves. Their suppression can be achieved by resorting a contact line pinned at container brim with static angle $\theta_s=90^{\circ}$ (brimful condition). However, tunable are desired in some applications as those liqu...

Let f : S → S be the “rabbit” polynomial z + c with c ∼= (−0.1+ 0.8i) a root of (c + c) + c = 0. Let T : S → S be the Dehn about c and c + c. We are interested in such maps up to combinatorial equivalence, that is, letting Pf denote the critical values of f and their forward images, we declare two maps f, g : S → S to be equivalent if there exist orientation-preserving homeomorphisms φ0, φ1 : (...

The parameter space for cubic polynomial maps has complex dimension 2. Its non-hyperbolic subset is a complicated fractal locus which is difficult to visualize or study. One helpful way of exploring this space is by means of complex 1-dimensional slices. This note will pursue such an exploration by studying maps belonging to the complex curve Sp consisting of all cubic maps with a superattracti...

The conformal barycenter of a point cloud on the sphere at infinity Poincare ball model hyperbolic space is analogue geometric median in Euclidean space. It was defined by Douady and Earle as part construction conformally natural way to extend homeomorphisms circle disk, it plays central role Millson Kapovich's configuration cyclic linkages with fixed edgelengths. In this paper we consider pr...