We show that the set of conical points of a rational function of the Riemann sphere supports at most one conformal measure. We then study the problem of existence of such measures and their ergodic properties by constructing Markov partitions on increasing subsets of sets of conical points and by applying ideas of the thermodynamic formalism. 1 Introduction. In this paper we recall from U2] the...

The study of conical refraction for media other than biaxial non-magnetic crystals has never been considered in the literature – as far as the authors are aware. Hence, in this paper, we investigate how conical refraction can arise for broader classes of biaxial metamaterials using a new classification scheme previously developed by the authors. Namely, conical refraction is shown to occur for ...

In this paper, the effect of different shapes tool pin on plastic flow 2024-T6 aluminum alloy during friction stir welding was studied. order to observe materials more clearly, we chose method dissimilar materials, considering corrosive characteristics alloys made when exposed same liquid. By studying and comparing temperature field, macro microstructure, microhardness tensile properties welded...

From the point of view of the duality between points and horocycles in a symmetric space, the counterparts to the spherical functions on the symmetric space are the conical distributions on the manifold of horocycles. While the conical functions are closely related to certain finite-dimensional representations of semisimple Lie groups, in the present work the conical distributions are found to ...

density functional theory (dft) calculations were performed to investigate the properties of planar, tubular and conical forms of silicon nanostructures. the evaluated parameters including averaged bond lengths, binding energies, gap energies and dipole moments were then evaluated for the optimized models of study. the results indicated that the bond lengths between silicon atoms are different ...

Abstract The balance of pseudomomentum is discussed and applied to simple elasticity, ideal fluids, the mechanics inextensible rods sheets. A general framework presented in which simultaneous variation an action with respect position, time, material labels yields bulk laws jump conditions for momentum, energy, pseudomomentum. example elasticity space-filling solids treated at length. fluids sho...

We show that the set of conical points of a rational function of the Riemann sphere supports at most one conformal measure. We then study the problem of existence of such measures and their ergodic properties by constructing Markov partitions on increasing subsets of sets of conical points and by applying ideas of the thermodynamic formalism. Introduction. In this paper we recall from [U2] the ...