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...

This work is about designing Pobot V2, a robot capable to climb poles with a cylindrical or conical shape. It is original because of its rolling self-locking concept: rolling allows continuous ascension whereas self-locking guarantees a null energy consumption while staying still on the pole. The robot is also capable to avoid tangential obstacles, to cross small collars and to regulate passive...

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 ...

Casimir energies for a massless scalar field for a conical wedge and a conical cavity are calculated. The group generated by the images is employed in deriving the Green function as well as the wave functions and the energy spectrum.

the shape of a solar collector is an important factor in solar-to-thermal energy conversion. conical shape is one of the stationary and symmetric shapes that can be employed as a solar water heater. flow rate of working fluid on the solar collector has an important effect on the efficiency of the collector. the present study is an experimentally investigated of the performance of the solar coni...

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 ...

This paper proposes to use relief-mapped conical frusta (cones cut by planes) to skin skeletal objects. Based on this representation, current programmable graphics hardware can perform the rendering with only minimal communication between the CPU and GPU. A consistent definition of conical frusta including texture parametrization and a continuous surface normal is provided. Rendering is perform...