Statistical properties of a laser based on a one-dimensional disordered superlattice open at one side are studied numerically. The passive normal modes of the system are determined using the Feshbach projection technique. It is found that the mode competition due to the spacial hole burning leads to a saturation of the number of lasing modes with increasing pump rate. It is also responsible for...

Variational problems that involve Wasserstein distances have been recently proposed to summarize and learn from probability measures. Despite being conceptually simple, such problems are computationally challenging because they involve minimizing over quantities (Wasserstein distances) that are themselves hard to compute. We show that the dual formulation of Wasserstein variational problems int...

This paper summarises the general strategy for time evolving finite elastoplasticity and outlines encountered computational challenges in form of numerical benchmarks. Each time-step of some natural implicit time-discretisation is eventually recast into a possibly non-convex minimisation problem. Finite plasticity seems to imply the lack of lower semicontinuity of the energy functional and so l...

Quantum random walks are constructed on operator spaces using the concept of matrix-space lifting, a form of ampliation intermediate between those given by spacial and ultraweak tensor products. It is shown that these walks, after suitable scaling, converge in a strong sense to vacuum cocycles, certain vacuum-adapted processes which are Feller cocycles in the sense of Lindsay and Wills. This re...

Temporal and spacial distribution of mannopine synthase (mas) promoter activity was determined throughout the development of transgenic tobacco plants using bacterial luciferase luxA and luxB as reporter genes. Luciferase activity was determined by luminometry in vitro and visualized by computer-enhanced single-photon video imaging in vivo. The activity of the mas dual promoters increased basip...

A . This report analyzes the long time stability of four methods for non-iterative, sub-physics, uncoupling for the evolutionary Stokes-Darcy problem. The four methods uncouple each time step into separate Stokes and Darcy solves using ideas from splitting methods. Three methods uncouple sequentially while one is a parallel uncoupling method. We prove long time stability of four splitting based...

I calculate the quark-gluon vertex of the tensor type Γ(p,q) = g3(p,q)p4 / q, vector type g2(p,q)q and scalar type g1(p,q), for a small spacial momentum transfer q = q using the gauge configuration of the Domain Wall Fermion (DWF) provided by the RBC-UKQCD collaboration. The quark propagator of Coulomb gauge in the cylinder cut, i.e. the four momentum p is directed along the diagonal of the hyp...

The transient kinetic behaviour of an open single enzyme, single substrate reaction is examined. The reaction follows the Van Slyke-Cullen mechanism, a spacial case of the Michaelis-Menten reaction. The analysis is performed both with and without applying the quasi-steady-state approximation. The analysis of the full system shows conditions for biochemical pathway coupling, which yield sustaine...

Vein patterns are a unique attribute of each individual and can therefore be used as a biometric characteristic. Exploiting the specific near infrared light absorption properties of blood, the vein capture procedure is convenient and allows contact-less sensors. We propose a new chain code based feature encoding method, using spacial and orientation properties of vein patterns. The proposed com...

We extend all previous results of our [Sm4], [Sm5] to the case of general (non-diagonal coefficents) Quasilinear First Order Hyperbolic Systems, in slab domains with an odd number of Spacial Dimensions greater than three, prove a comparision Principle for viscosity sub and super solutions of such general systems, and apply our results to the Cauchy Problem for the Einstein Field Equations. We s...