We investigate the accuracy attainable by forthcoming space-based observations of the cosmic microwave background (CMB) temperature and polarization anisotropy in constraining the dark energy density parameter ΩQ and equation of state wQ = pQ/ρQ. Despite degeneracies among parameters, it is possible for high precision observations such as those from MAP and Planck to provide interesting informa...

Griffin, Wu and Stringari have derived the hydrodynamic equations of a trapped dilute Bose gas above the Bose-Einstein transition temperature. We give the extension which includes hydrodynamic damping, following the classic work of Uehling and Uhlenbeck based on the Chapman-Enskog procedure. Our final result is a closed equation for the velocity fluctuations δv which includes the hydrodynamic d...

We present a dependent type theory organized around a Cartesian notion of cubes (with faces, degeneracies, and diagonals), supporting both fibrant and non-fibrant types. The fibrant fragment includes Voevodsky’s univalence axiom and a circle type, while the non-fibrant fragment includes exact (strict) equality types satisfying equality reflection. Our type theory is defined by a semantics in cu...

We formulate a systematic elegant perturbative scheme for determining the eigenvalues of the Helmholtz equation (∇ + k)ψ = 0 in two dimensions when the normal derivative of ψ vanishes on an irregular closed curve. The unique feature of this method, unlike other perturbation schemes, is that it does not require a separate formalism to treat degeneracies. Degenerate states are handled equally ele...

This paper describes an efficient and robust algorithm for computing a common refinement of two meshes modeling a common surface of arbitrary shape by overlaying them on top of each other. A common refinement is an important data structure for transferring data between meshes that have different topological structures. Our algorithm is optimal in time and space, with linear complexity. Special ...

It is shown that the construction of Yang and Fendley (2004 J. Phys. A: Math. Gen. 37 8937) to obtain supersymmetric systems, leads not to the open XXZ chain with anisotropy ∆ = −12 but to systems having dimensions given by Jacobstahl sequences. For each system the ground state is unique. The continuum limit of the spectra of the Jacobstahl systems coincide, up to degeneracies, with that of the...

A new resistive J-port network configuration capable of realizing any given third-order real symmetric paramount matrix is given. All the edge conductances are explicitly expressed in terms of the entries of the given matrix obviating matrix inversion at any stage of the calculation of the edge conductance values. Also all kinds of degeneracies are taken care of by the explicit formulas given f...

This contribution reviews results from interferometric observations of circumstellar disks around young stars of .3 M , performed with the MIDI instrument operating in the 10 μm spectral region. Two main topics, the disk structure on ∼1-10 AU scales and the dust properties in the same region, are illustrated with several examples of MIDI studies, covering various evolutionary stages. The spatia...

Non-perturbative corrections and modular properties of four-dimensional type IIB Calabi-Yau orientifolds are discussed. It is shown that certain non-perturbative α corrections survive in the large volume limit of the orientifold and periodically correct the Kähler potential. These corrections depend on the NS-NS two form and have to be completed by D-instanton contributions to transform covaria...

Due to their long lifetimes, indirect excitons can cool to below the temperature of quantum degeneracy. This gives an opportunity to experimentally study cold composite bosons. Both theoretically predicted phenomena and phenomena that have not been anticipated were observed in a cold gas of indirect excitons. In this contribution, we overview our studies of cold indirect excitons over the past ...