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 ...

OBJECTIVE The purpose of this clinical study was to evaluate the effect of implant body form (cylindrical and conical implants) on crestal bone levels during 6 months' follow-up after loading. MATERIALS AND METHODS A total of 32 SPI implants (19 conical implants/13 cylindrical implants) were randomly placed in 12 male patients using a submerged approach. None of the patients had compromising ...

The geometry of a collector is one of the important factors that can increase the incident radiation on the collector surface. In the present study, the incident radiation for a stationary collector with cone geometry, i.e. a conical collector, is theoretically and experimentally investigated. This type of collector is always stable and does not need a fixture to install. Moreover, it has a...

We consider the self-collision of portals in classical general relativity. Portals are wormholes supported by a single loop negative mass cosmic string, and being wormholes, have nontrivial topology. can be constructed so that curvature is zero everywhere outside with vanishing ADM mass. The conical singularities these smoothed, yielding spatial topology $S^2 \times S^1$ point corresponding to ...

We study the asymptotic behavior of finite energy $$\mathrm SU(2)$$ monopoles, and general critical points Yang–Mills–Higgs energy, on asymptotically conical 3-manifolds with only one end. Our main results generalize classical due to Groisser Taubes in particular case flat 3-dimensional Euclidean space $${\mathbb {R}}^3$$ . Indeed, we prove integrality monopole number, or charge, configurations...

In engineering applications, especially in the field of modern military defence, the cylindrical shells, conical shells and coupled conical-cylindrical shells are basically simplified models of many types of weapons and equipment, such as aircraft, missiles, and submarines. The study of free vibrational characteristics of cylindrical shells is comprehensive. Initially, researchers1-5 investigat...

We introduce a family of conditions on a simplicial complex that we call local klargeness (k ≥ 6 is an integer). They are simply stated, combinatorial and easily checkable. One of our themes is that local 6-largeness is a good analogue of the nonpositive curvature: locally 6-large spaces have many properties similar to nonpositively curved ones. However, local 6-largeness neither implies nor is...

This paper shows that the continuous shearlet transform, a novel directional multiscale transform recently introduced by the authors and their collaborators, provides a precise geometrical characterization for the boundary curves of very general planar regions. This study is motivated by imaging applications, where such boundary curves represent edges of images. The shearlet approach is able to...