We extend our combinatorial approach of decomposing the partition function of the Potts model on finite two-dimensional lattices of size L × N to the case of toroidal boundary conditions. The elementary quantities in this decomposition are characters Kl,D labelled by a number of bridges l = 0, 1, . . . , L and an irreducible representation D of the symmetric group Sl. We develop an operational ...

It has been recently pointed out that atomic nuclei with tetrahedral symmetry could be encountered all over the nuclear chart. The predictions are based on a very general analysis of symmetries of the nuclear mean-field and are inspired by the group-theory considerations. The implied unique 4-fold degeneracies of the single-particle levels characteristic of tetrahedral (and/or octahedral) symme...

For a dimer with a non-degenerate orbital built from atomic wave functions of Gaussian shape we evaluate all the electron-phonon couplings derived from the one-body and two-body electronic interactions, considering both the adi-abatic and extreme non-adiabatic limit. Not only the values of the coupling parameters in the two limits, but also the expressions of the corresponding terms in the Hami...

We compare the physics potential of planned superbeams with the one of neutrino factories. Therefore, the experimental setups as well as the most relevant uncertainties and errors are considered on the same footing as much as possible. We use an improved analysis including the full parameter correlations, as well as statistical, systematical, and degeneracy errors. Especially, degeneracies have...

In this paper we break the scale invariance of the primordial power spectrum of curvature perturbations of inflation. Introducing a singular behaviour due to spontaneous symmetry breaking in the inflaton potential, we obtain fully analytic expressions of scale dependent oscillation and a modulation in power on small scale in the primordial spectrum. And we give the associated cosmic microwave b...

We present a method to compute the exact topology of a real algebraic surface S, implicitly given by a polynomial f ∈ Q[x,y,z] of arbitrary total degree N. Additionally, our analysis provides geometric information as it supports the computation of arbitrary precise samples of S including critical points. We compute a stratification ΩS of S into O(N5) nonsingular cells, including the complete ad...

We explore the ability of directional nuclear-recoil detectors to constrain the local velocity distribution of weakly interacting massive particle (WIMP) dark matter by performing Bayesian parameter estimation on simulated recoil-event data sets. We discuss in detail how directional information, when combined with measurements of the recoilenergy spectrum, helps break degeneracies in the veloci...

In this paper we present a novel, robust and efficient GPU based technique to automatically generate a Navigation Mesh for complex 3D scenes. Our method consists of two steps: firstly, starting with a 3D scene representing a complex environment of one floor with slopes, steps, and other obstacles, it automatically generates a 2D representation based on a single polygon (floor) with holes (obsta...

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 the Wilkinson Microwave Anisotropy Probe and ...

We study the effects of halo substructure and a distribution in the concentration parameter of haloes on large-scale structure statistics. The effects on the power spectrum and bispectrum are studied on the smallest scales accessible from future surveys. We compare halo-model predictions with results based on N -body simulations, but also extend our predictions to 10kpc scales which will be pro...