Magnetic activity and radial velocity filtering of young Suns: The weak-line T Tauri stars Par 1379 and Par 2244 [PDF]
We report the results of our spectropolarimetric monitoring of the weak-line T-Tauri stars (wTTSs) Par 1379 and Par 2244, within the MaTYSSE (Magnetic Topologies of Young Stars and the Survival of close-in giant Exoplanets) programme. Both stars are of a similar mass (1.6 and 1.8 M$_{\odot}$) and age (1.8 and 1.1 Myr), with Par 1379 hosting an evolved ...
arxiv +1 more source
Gas Kinematics of Three Hickson Compact Groups: The Data [PDF]
We present Fabry Perot observations of three Hickson Compact Groups, HCG 88, HCG 89 and HCG 100. We detect ionized gas in 15 group members, three of which were previously uncatalogued objects, two in HCG 89 and one in HCG 100. We were able to derive 2D velocity, monochromatic and continuum maps and rotation curves for a total of 12 giant late-type ...
arxiv +1 more source
LTB curves with Lipschitz turn are par-regular [PDF]
Preserving the topology during a digitization process is a requirement of first importance. To this end, it is classical in Digital Geometry to assume the shape borders to be par-regular. Par-regularity was proved to be equivalent to having positive reach or to belong to the class C 1,1 of curves with Lipschitz derivative.
arxiv
The generalized Abel-Plana formula. Applications to Bessel functions and Casimir effect [PDF]
One of the most efficient methods to obtain the vacuum expectation values for the physical observables in the Casimir effect is based on the using the Abel-Plana summation formula. This allows to derive the regularized quantities by manifestly cutoff independent way and to present them in the form of strongly converging integrals.
arxiv
Static Casimir Condensate of Conformal Scalar Field in Friedmann Universe [PDF]
The quantum Casimir condensate of a conformal massive scalar field in a compact Friedmann universe is considered in the static approximation. The Abel-Plana formula is used for renormalization of divergent series in the condensate calculation. A differential relation between the static Casimir energy density and static Casimir condensate is derived.
arxiv +1 more source
Generalized Abel-Plana formula as a renormalization tool in quantum field theory with boundaries [PDF]
We apply the generalized Abel-Plana formula for the investigation of one-loop quantum effects on manifolds with boundaries. This allows to extract from the vacuum expectation values of local physical observables the parts corresponding to the geometry without boundaries and to present the boundary-induced parts in terms of integrals strongly convergent
arxiv
On the non-homogeneous Navier-Stokes system with Navier friction boundary conditions [PDF]
We address the issue of existence of weak solutions for the non-homogeneous Navier-Stokes system with Navier friction boundary conditions allowing the presence of vacuum zones and assuming rough conditions on the data. We also study the convergence, as the viscosity goes to zero, of weak solutions for the non-homogeneous Navier-Stokes system with ...
arxiv
A note on multiplicative automatic sequences, II [PDF]
We prove that any $q$-automatic multiplicative function $f:\mathbb{N}\to\mathbb{C}$ either essentially coincides with a Dirichlet character, or vanishes on all sufficiently large primes. This confirms a strong form of a conjecture of J. Bell, N. Bruin, and M. Coons.
arxiv +1 more source
The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect [PDF]
One of the most efficient methods for the evaluation of the vacuum expectation values for physical observables in the Casimir effect is based on using the Abel-Plana summation formula. This enables to derive the renormalized quantities in a manifestly cutoff independent way and to present them in the form of strongly convergent integrals.
arxiv
Mass Distribution in Hickson Compact Groups of Galaxies [PDF]
This study presents the mass distribution for a sample of 18 late-type galaxies in nine Hickson Compact Groups. We used rotation curves from high resolution 2D velocity fields of Fabry-Perot observations and J-band photometry from the 2MASS survey, in order to determine the dark halo and the visible matter distributions.
arxiv +1 more source