We prove a finiteness theorem for the class of complete finite volume Riemannian manifolds with pinched negative sectional curvature, fixed fundamental group, and of dimension ≥ 3. One of the key ingredients is that the fundamental group of such a manifold does not admit a small nontrivial action on an R -tree.

We consider admissible random walks on hyperbolic graphs. For a given harmonic function on such a graph, we prove that asymptotic properties of non-tangential boundedness and non-tangential convergence are almost everywhere equivalent. The proof is inspired by the works of F. Mouton in the cases of Riemannian manifolds of pinched negative curvature and infinite trees. It involves geometric and ...

In this article, let Σ ⊂ R be a compact convex hypersurface which is (r,R)-pinched with R r < √ 3 2 . Then Σ carries at least two strictly elliptic closed characteristics; moreover, Σ carries at least 2[ 4 ] non-hyperbolic closed characteristics.

AbstructIn this note, we consider a vertical cable which is pinched at the upper end. A mass is attached at the lower end where a control force is also applied. We show that this hybrid system is uniformly stabilized by choosing a suitable control law for the control force depending on the velocity and angular velocity at the free end. Moreover for specific values of the feedback coefficients, ...

Carpal tunnel syndrome is the most prevalent nerve compression and can be clinically or surgically treated. In most cases, the first therapeutic alternative is conservative treatment but there is still much controversy regarding the most effective modality of this treatment. In this study, we critically evaluated the options of conservative treatment for carpal tunnel syndrome, aiming to guide ...

This article was born as an application of the Top Terms’ Relationship proved by the author and Series in [15] and also as generalisation of the analysis made by Series in [26] where she made the first attempt to plot a deformation space of Kleinian group of more than 1 complex dimension. We use this formula to determine the asymptotic directions of pleating rays in the Maskit embedding of a hy...

We consider nonnegatively curved 4-manifolds that admit effective isometric actions by nite groups and from that draw topological conclusions about the manifold. Our rst theorem shows that if the man-ifolds admits an isometric Zp Zp for p large enough that the manifold has Euler characteristic less than or equal to ve. Our second theorem requires no hypothesis on the structure of the group othe...

For a pharmaceutical like insulin, the product should be clearly linked to its source. Therefore, it is important to track each batch throughout the production process. Tracking each batch in a simulated moving bed (SMB) process is more challenging than in conventional batch chromatography. Solutes coming from a certain feed batch in SMB can be mixed with solutes coming from adjacent feed batch...

The existence of non-continuous invariant graphs (or strange non-chaotic attractors) in quasiperiodically forced systems has generated great interest, but there are still very few rigorous results about the properties of these objects. In particular it is not known whether the topological closure of such graphs is typically a filled-in set, i.e. consist of a single interval on every fibre, or n...

The electron cloud in positron storage rings is pinched when a bunch passes by. For short bunches, the radiation due to acceleration of electrons of the cloud is coherent. Detection of such radiation can be used to measure the density of the cloud. The estimate of the power and the time structure of the radiated signal is given in this paper. ∗Work supported by Department of Energy contract DE–...