We consider the problem of determining the spectrum for the linearization of an infinitedimensional Hamiltonian system about a spatially periodic traveling wave. By using a Bloch-wave decomposition, we recast the problem as determining the point spectra for a family of operators JγLγ , where Jγ is skew-symmetric with bounded inverse and Lγ is symmetric with compact inverse. Our main result rela...

Pulsed-current controlled wall motion in 20 m wide 200 m long 160 nm thick patterned Permalloy strips was studied using magnetic force microscopy. By sequential imaging, the displacement of Bloch walls as far as 200 m along the strip was observed. The direction of motion was in the same direction as the carrier velocity, which reversed with current polarity. The displacement per pulse was depen...

In this paper we question whether the concept of "genetic privacy" is a contradiction in terms. And, if so, whether the implications of such a conclusion, inevitably impact on how society comes to perceive privacy and responsibility generally. Current law and ethical discourse place a high value on self-determination and the rights of individuals. In the medical sphere, the recognition of patie...

Charles Maclean is generally thought to have played an important role in the contagion debates of the early nineteenth century and to have prompted two parliamentary inquiries into the issue. The author examines the effects of Maclean's efforts to relocate the contagion debates from the medical to the public sphere. The author shows that Maclean's tactics challenged the exclusivity of medical k...

IT based Healthcare platforms have been widely recognized by research communities and institutions as key players in the future of home-based health monitoring and care. Features like personalised care, continuous monitoring, and reduced costs are fostering the research and use of these technologies. In this paper, we describe the design and implementation of the video monitoring system of the ...

Einstein realized that the fluctuations of a Brownian particle can be used to ascertain the properties of its environment. A large number of experiments have since exploited the Brownian motion of colloidal particles for studies of dissipative processes, providing insight into soft matter physics and leading to applications from energy harvesting to medical imaging. Here, we use heated opticall...

Solitons in one-dimensional parity-time (PT )-symmetric periodic potentials are studied using exponential asymptotics. The new feature of this exponential asymptotics is that, unlike conservative periodic potentials, the inner and outer integral equations arising in this analysis are both coupled systems due to complex-valued solitons. Solving these coupled systems, we show that two soliton fam...

We prove Gaussian estimates for heat kernels on semisimple Lie groups by using the method of Bloch wave representation. We also give a large time asymptotic expansion for heat kernels on compact extensions of abelian Lie groups.

This article has three goals. First, we generalize the result of Deuring and Serre on the characterization of supersingular locus to all Shimura varieties given by totally indefinite quaternion algebras over totally real number fields. Second, we generalize the result of Ribet on arithmetic level raising to such Shimura varieties in the inert case. Third, as an application to number theory, we ...

Bloch points in permalloy cylinders are investigated using a micromagnetic framework, where thermal effects are included via the Landau-Lifshitz-Bloch equation of motion. We show that this enables micromagnetic modeling of a Bloch point avoiding the problem of singularities, which have been rep0l1ed in the literature so far. The details of the Bloch point which we reveal are compared with earli...