We consider the physics potential of CERN based neutrino oscillation experiments consisting of a Beta Beam (βB) and a Super Beam (SPL) sending neutrinos to MEM-PHYS, a 440 kt wateř Cerenkov detector at Fréjus, at a distance of 130 km from CERN. The θ 13 discovery reach and the sensitivity to CP violation are investigated, including a detailed discussion of parameter degeneracies and systematica...

We present constraints on several cosmological parameters from a combined analysis of the most recent Cosmic Microwave Background anisotropy data and the Sloan Digital Sky Survey cluster mass function. We find that the combination of the two data sets breaks several degeneracies among the parameters and provides the following constraints: σ 8 = 0.76 ± 0.09, Ω m = 0.26

We prove that any pair of bivariate trinomials has at most 5 isolated roots in the positive quadrant. The best previous upper bounds independent of the polynomial degrees were much larger, e.g., 248832 (for just the non-degenerate roots) via a famous general result of Khovanski. Our bound is sharp, allows real exponents, allows degeneracies, and extends to certain systems of n-variate fewnomial...

Note that both the eigen-Majoranas γn,α and the eigenvalues n are time dependent. Degeneracies of the many-body spectrum can arise when one or more of the eigenvalues n vanish or when some nonzero n is degenerate, independent of time. The various Majorana operators associated with each single-particle eigenvalue n are labeled by the index α. If the single-particle eigenvalue n is N-fold degener...

Type Ia supernova data have recently become strong enough to enable, for the first time, constraints on the time variation of the dark energy density and its equation of state. Most analyses, however, are using simple two or three-parameter descriptions of the dark energy evolution, since it is well known that allowing more degrees of freedom introduces serious degeneracies. Here we present a m...

Previous approaches to RAID scaling either require a very large amount of data to be migrated, or cannot tolerate multiple disk additions without resulting in disk imbalance. In this paper, we propose a new approach to RAID-0 scaling called FastScale. First, FastScale minimizes data migration, while maintaining a uniform data distribution. With a new and elastic addressing function, it moves on...

Counterfactual learning is a natural scenario to improve web-based machine translation services by offline learning from feedback logged during user interactions. In order to avoid the risk of showing inferior translations to users, in such scenarios mostly exploration-free deterministic logging policies are in place. We analyze possible degeneracies of inverse and reweighted propensity scoring...

Large-N volume independence in circle-compactified QCD with adjoint Weyl fermions implies the absence of any phase transitions as the radius is dialed to arbitrarily small values. This class of theories are believed to possess a Hagedorn density of hadronic states. It turns out that these properties are in apparent tension with each other, because a Hagedorn density of states typically implies ...

We use closed geodesics to construct and compute Botttype Morse homology groups for the energy functional on the loop space of flat n-dimensional tori, n ≥ 1, and Bott-type Floer cohomology groups for their cotangent bundles equipped with the natural symplectic structure. Both objects are isomorpic to the singular homology of the loop space. In an appendix we perturb the equations in order to e...

Determination of the neutrino mass hierarchy using a reactor neutrino experiment at ∼60 km is analyzed. Such a measurement is challenging due to the finite detector resolution, the absolute energy scale calibration, as well as the degeneracies caused by current experimental uncertainty of |∆m232|. The standard χ 2 method is compared with a proposed Fourier transformation method. In addition, we...