An increasing homeomorphism \(h\) on the real line \(\mathbb{R}\) is said to be strongly symmetric if it can extended a quasiconformal of upper half plane \(\mathbb{U}\) onto itself whose Beltrami coefficient \(\mu\) induces vanishing Carleson measure \(|\mu(z)|^2/y\,dx\,dy\) \(\mathbb{U}\). We will deal with class homeomorphisms and its Teichmüller space, which we call VMO-Teichmüller space. I...

Streamline advection has proven an eeective method for visualizing vector ow eld data. Traditional streamlines do not, however, provide for investigating the coarser-grained features of complex datasets, such as the white matter tracts in the brain or the thermal conveyor belts in the ocean. In this paper, we introduce a cohesive advection primitive, called a stream bundle. Whereas traditional ...

In this issue of Neuron, Napoli et al. (2012) demonstrate that elevated ERK/MAPK signaling in Schwann cells is a crucial trigger for Schwann cell dedifferentiation in vivo. Moreover, the authors show that dedifferentiated Schwann cells have the potential to coordinate much of the peripheral nerve response to injury.

Assembly members last night abolished the Saint Mary's Student Assembly by a majority vote. The Assembly. as it stands now, is "nothing but an 1neffecrive student government organization, ' according to Stu· dent Body President Kathy Sweeney. A proposal submiaed by Sweeuey, would p \ace the Assembly under investigation by ad ad-hoc commit tee who will assess tht· needs and structure of the asse...

For a typical NRZ pulse propagating in existing normally dispersive bers, we provide a uniform description of the optical transmission. There are three distinct regimes of the governing nonlinear Schrr odinger equation: the fully nonlinear dispersive regime (ND), which covers a small region of the pulse; and two limiting asymptotic regimes-nonlinear, weakly dispersive (ZD) (for the bulk of the ...

Several chaos-based digital communication schemes have been proposed in recent years. Unlike conventional modulation systems where analytical bit error rates (BERs) can be found given a certain bit-energy-to-noise-psd ( ) ratio, BERs of chaos-based digital communication systems are mainly found from simulations or experiments. In this paper, we present an analytical method to derive the BER of ...

We prove the Bers' density conjecture for singly degenerate Kleinian surface groups without parabolics.

We study Anosov diieomorphisms on surfaces in which some smalìholes' are cut. The points that are mapped into those holes disappear and never return. We assume that the holes are arbitrary open domains with piecewise smooth boundary, and their sizes are small enough. The set of points whose trajectories stay away from holes in the past is a Cantor-like union of unstable bers. We establish the e...