For each group G having an infinite normal subgroup with the relative property (T) (for instance groups of the form G = H ×K, where H is infinite with property (T) and K is arbitrary) and each countable abelian group Λ we construct free ergodic measure-preserving actions σΛ on the probability space such that the 1’st cohomology group of σΛ, H (σΛ), is equal to Char(G)×Λ. We deduce that G has un...

We prove that if G is a countable discrete group with property (T) over an infinite subgroup H < G which contains an infinite Abelian subgroup or is normal, then G has continuum many orbit inequivalent measure preserving a.e. free ergodic actions on a standard Borel probability space. Further, we obtain that the measure preserving a.e. free ergodic actions of such a G cannot be classified up to...

We present the first quantum system where Anderson localization is completely described within periodic-orbit theory. The model is a quantum graph analogous to an aperiodic Kronig-Penney model in one dimension. The exact expression for the probability to return to an initially localized state is computed in terms of classical trajectories. It saturates to a finite value due to localization, whi...

The problem of estimating a random signal vector x observed through a linear transformation H and corrupted by an additive noise is considered. A linear estimator that minimizes the mean squared error (MSE) with a certain selected probability is derived under the assumption that both the additive noise and random signal vectors are zero mean Gaussian with known covariance matrices. Our approach...

© 2012 Hyun-Soo Kang et al. 369 In this paper, we propose new adaptive search range motion estimation methods where the search ranges are constrained by the probabilities of motion vector differences and a search point sampling technique is applied to the constrained search ranges. Our new methods are based on our previous work, in which the search ranges were analytically determined by the pro...

We give an analytical formulation for the approximation of the Minimum Orbital Intersection Distance (MOID) between two elliptical orbits, and we apply it to the case of the Earth and of an asteroid. With this formulation we are able to find an algorithm to compute the variance of the MOID for a given asteroid and we make the computation in the case of the asteroids whose orbit has been determi...

Future space surveillance requires dealing with uncertainties directly in the initial orbit determination phase. We propose an approach based on Taylor differential algebra to both solve the initial orbit determination (IOD) problem and to map uncertainties from the observables space into the orbital elements space. This is achieved by approximating in Taylor series the general formula for prob...

A previously introduced relativistic energy density functional, successfully applied to ordinary nuclei, is extended to hypernuclei. The density-dependent mean field and the spin-orbit potential are consistently calculated for a Λ hyperon in the nucleus using the SU(3) extension of in-medium chiral perturbation theory. The leading long range ΛN interaction arises from kaon-exchange and 2π-excha...

In this paper we report on the feasibility of light confinement in orbital geodesics on stationary, planar, and centro-symmetric refractive index mappings. Constrained to fabrication and [meta]material limitations, the refractive index, n, has been bounded to the range: 0.8 ≤ n(r[combining arrow]) ≤ 3.5. Mappings are obtained through the inverse problem to the light geodesics equations, conside...

On January 12th, 2003, the Cosmic Hot Interstellar Plasma Spectrometer Spacecraft (CHIPSat) launched successfully from Vandenberg Air Force Base as a secondary payload on a Delta II booster. CHIPSat completed commissioning in February 2003, and is now a fully operational observatory. The main science objective is to measure extreme ultraviolet emissions from the interstellar medium. Data on the...