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Relaxation of structures resulting from head-on mergers of ultralight bosonic dark matter coresDec 30 2018Mar 12 2019In this work we study some features of head-on mergers of equilibrium solutions of the Gross-Pitaevskii-Poisson system that rules the dynamics of the ultralight bosonic dark matter model. The importance of equilibrium solutions is that they play the role ... More

The Galactic Center Molecular Cloud Survey. II. A Lack of Dense Gas & Cloud Evolution along Galactic Center OrbitsOct 11 2016Jun 08 2017We present the first systematic study of the density structure of clouds found in a complete sample covering all major molecular clouds in the Central Molecular Zone (CMZ; inner $\sim{}200~\rm{}pc$) of the Milky Way. This is made possible by using data ... More

The Galactic Center Molecular Cloud Survey. I. A Steep Linewidth-Size Relation & Suppression of Star FormationOct 11 2016Nov 04 2016The Central Molecular Zone (CMZ; inner $\sim{}200~\rm{}pc$) of the Milky Way is a star formation (SF) environment with very extreme physical properties. Exploration of SF in this region is important because (i) this region allows us to test models of ... More

Homotopy groups of generic leaves of logarithmic foliationsNov 17 2017Apr 15 2019We study the homotopy groups of generic leaves of logarithmic foliations on complex projective manifolds. We exhibit a relation between the homotopy groups of a generic leaf and of the complement of the polar divisor of the logarithmic foliation.

Inf-sup stability of geometrically unfitted Stokes finite elementsMay 31 2016The paper shows an inf-sup stability property for several well-known 2D and 3D Stokes elements on triangulations which are not fitted to a given smooth or polygonal domain. The property implies stability and optimal error estimates for a class of unfitted ... More

Scattering for the radial 3D cubic focusing inhomogeneous nonlinear Schrödinger equationOct 20 2016The purpose of this work is to study the 3D focusing inhomogeneous nonlinear Schr\"odinger equation $$ i u_t +\Delta u+|x|^{-b}|u|^2 u = 0, $$ where $0<b<1/2$. Let $Q$ be the ground state solution of $-Q+\Delta Q+ |x|^{-b}|Q|^{2}Q=0$ and $s_c=(1+b)/2$. ... More

CAFE-R a code that solves the special relativistic radiation hydrodynamics equationsMar 12 2019We present a 3D special-relativistic radiation hydrodynamics code. It uses the radiative inversion scheme with the M1-closure relation for the radiation equations, which allows the treatment of a wide range of optical depth, temperature and opacity. The ... More

From graphs to tensegrity structures: Geometric and symbolic approachesApr 19 2004Mar 13 2006A form-finding problem for tensegrity structures is studied; given an abstract graph, we show an algorithm to provide a necessary condition for it to be the underlying graph of a tensegrity in $\mathbb{R}^d$ (typically $d=2,3$) with vertices in general ... More

Constraining a bulk viscous matter-dominated cosmological model using SNe Ia, CMB and LSSJan 10 2008We present and constrain a cosmological model which component is a pressureless fluid with bulk viscosity as an explanation for the present accelerated expansion of the universe. We study the particular model of a constant bulk viscosity coefficient \zeta_m. ... More

Distributions and Integration in superspaceApr 03 2018Distributions in superspace constitute a very useful tool for establishing an integration theory. In particular, distributions have been used to obtain a suitable extension of the Cauchy formula to superspace and to define integration over the superball ... More

Evolution of a mass-less test scalar field on Boson Stars space-timesJul 07 2010Jul 30 2010We numerically solve the mass-less test scalar field equation on the space-time background of boson stars and black holes. In order to do so, we use a numerical domain that contains future null infinity. We achieve this construction using a scri-fixing ... More

The cohomology ring away from 2 of configuration spaces on real projective spacesFeb 14 2015Jul 15 2015Let R be a commutative ring containing 1/2. We compute the R-cohomology ring of the configuration space F(m,k) of k ordered points in the m-dimensional real projective space. The method uses the observation that the orbit configuration space of k ordered ... More

Sets of values of fractional ideals of rings of algebroid curvesApr 26 2018The aim of this work is to study sets of values of fractional ideals of rings of algebroid curves and explore more deeply the symmetry that exists among sets of values of dual pairs of ideals when the ring is Gorenstein. We also express the codimension ... More

An Optimal Affine Invariant Smooth Minimization AlgorithmJan 03 2013Nov 28 2016We formulate an affine invariant implementation of the accelerated first-order algorithm in Nesterov (1983). Its complexity bound is proportional to an affine invariant regularity constant defined with respect to the Minkowski gauge of the feasible set. ... More

Spherical Hartree-Fock calculations with linear momentum projection before the variation.Part II: Spectral functions and spectroscopic factorsApr 28 2005The hole--spectral functions and from these the spectroscopic factors have been calculated in an Galilei--invariant way for the ground state wave functions resulting from spherical Hartree--Fock calculations with projection onto zero total linear momentum ... More

Jet formation in solar atmosphere due to magnetic reconnectionSep 29 2016Using numerical simulations, we show that jets with features of type II spicules and cold coronal jets corresponding to temperatures $10^{4}$ K can be formed due to magnetic reconnection in a scenario in presence of magnetic resistivity. For this we model ... More

Comment on "Acceleration of particles to high energy via gravitational repulsion in the Schwarzschild field" by C. H. McGruder IIIDec 17 2018By direct computations, we show that "repulsion" in the Schwarzschild field can not accelerate an outgoing particle, and thus represents pure coordinate effect. In other words, the repulsion can not be detected neither by local nor by distant observer. ... More

Chemical Study of the Metal-rich Globular Cluster NGC 5927Nov 08 2017Globular Clusters (GCs) are natural laboratories where stellar and chemical evolution can be studied in detail. In addition, their chemical patterns and kinematics can tell us wich Galactic structure (Disk, Bulge, Halo or extragalactic) the cluster belongs ... More

On cycle-to-cycle heat release variations in a simulated spark ignition heat engineMay 28 2010The cycle-by-cycle variations in heat release for a simulated spark-ignited engine are analyzed within a turbulent combustion model in terms of some basic parameters: the characteristic length of the unburned eddies entrained within the flame front, a ... More

The end-to-end testbed of the Optical Metrology System on-board LISA PathfinderMar 21 2012LISA Pathfinder is a technology demonstration mission for the Laser Interferometer Space Antenna (LISA). The main experiment on-board LISA Pathfinder is the so-called LISA Technology Package (LTP) which has the aim to measure the differential acceleration ... More

Quantum-correlated two-photon transitions to excitons in semiconductor quantum wellsSep 30 2011Feb 09 2012The dependence of the excitonic two-photon absorption on the quantum correlations (entanglement) of exciting biphotons by a semiconductor quantum well is studied. We show that entangled photon absorption can display very unusual features depending on ... More

Deep phase modulation interferometryMar 13 2012Mar 21 2012We have developed a method to equip homodyne interferometers with the capability to operate with constant high sensitivity over many fringes for continuous real-time tracking. The method can be considered as an extension of the "J_1...J_4" methods, and ... More

A Protostellar Jet Emanating from a Hypercompact HII RegionMay 24 2016We present radio continuum observations of the high-mass young stellar object (HMYSO) G345.4938+01.4677 made using the Australia Telescope Compact Array (ATCA) at 5, 9, 17, and 19 GHz. These observations provide definite evidence that the outer and inner ... More

Nanolayer thickness detection via spatial mode projectionJun 04 2013Oct 10 2013We demonstrate an optical scheme for measuring the thickness of thin nanolayers with the use of light beam s spatial modes. The novelty in our scheme is the projection of the beam reflected by the sample onto a properly-tailored spatial mode. In the experiment ... More

Parameter estimates in binary black hole collisions using neural networksAug 08 2016We present an algorithm based on artificial neural networks (ANNs), that estimates the mass ratio in a binary black hole collision out of given Gravitational Wave (GW) strains. In this analysis, the ANN is trained with a sample of GW signals generated ... More

The Galactic Center Molecular Cloud Survey. II. A Lack of Dense Gas & Cloud Evolution along Galactic Center OrbitsOct 11 2016We present the first systematic study of the density structure of clouds found in a complete sample covering all major molecular clouds in the Central Molecular Zone (CMZ; inner $\sim{}200~\rm{}pc$) of the Milky Way. This is made possible by using data ... More

H, He-like recombination spectra I: $l$-changing collisions for hydrogenApr 13 2016Hydrogen and helium emission lines in nebulae form by radiative recombination. This is a simple process which, in principle, can be described to very high precision. Ratios of He I and H I emission lines can be used to measure the He$^+$/H$^+$ abundance ... More

H-, He-like recombination spectra III: $n$-changing collisions in highly-excited Rydberg states and their impact on the radio, IR and optical recombination linesMar 13 2019Mar 18 2019At intermediate to high densities, electron (de-)excitation collisions are the dominant process for populating or depopulating high Rydberg states. In particular, the accurate knowledge of the energy changing ($n$-changing) collisional rates is determinant ... More

Real-time phasefront detector for heterodyne interferometersMar 20 2012We present a real-time differential phasefront detector sensitive to better than 3 mrad rms, which corresponds to a precision of about 500 pm. This detector performs a spatially resolving measurement of the phasefront of a heterodyne interferometer, with ... More

The Galactic Center Molecular Cloud Survey. II. A Lack of Dense Gas & Cloud Evolution along Galactic Center OrbitsOct 11 2016Nov 04 2016We present the first systematic study of the density structure of clouds found in a complete sample covering all major molecular clouds in the Central Molecular Zone (CMZ; inner $\sim{}200~\rm{}pc$) of the Milky Way. This is made possible by using data ... More

H, He-like recombination spectra II: $l$-changing collisions for He Rydberg statesAug 31 2016Cosmological models can be constrained by determining primordial abundances. Accurate predictions of the He I spectrum are needed to determine the primordial helium abundance to a precision of $< 1$% in order to constrain Big Bang Nucleosynthesis models. ... More

Chip-firing and energy minimization on M-matricesMar 07 2014Nov 21 2014We consider chip-firing dynamics defined by arbitrary M-matrices. M-matrices generalize graph Laplacians and were shown by Gabrielov to yield avalanche finite systems. Building on the work of Baker and Shokrieh, we extend the concept of energy minimizing ... More

Anomalous diffusion in the resonant quantum kicked rotorAug 31 2009Mar 26 2010We study the resonances of the quantum kicked rotor subjected to an excitation that follows a deterministic time-dependent prescription. For the primary resonances we find an analytical relation between the long-time behavior of the standard deviation ... More

H-, He-like recombination spectra III: $n$-changing collisions in highly-excited Rydberg states and their impact on the radio, IR and optical recombination linesMar 13 2019At intermediate to high densities, electron (de-)excitation collisions are the dominant process for populating or depopulating high Rydberg states. In particular, the accurate knowledge of the energy changing ($n$-changing) collisional rates is determinant ... More

On a Lie algebraic structure associated with a non-linear dynamical systemFeb 12 2019A family of Lie algebras of minimal dimension associated with vector fields that define a non-linear dynamical system is calculated. These Lie algebras contain the Heinsenberg algebra. An element that distinguishes these vector fields is called evapotranspiration ... More

Resonant quantum kicked rotor with two internal levelsOct 26 2012We develop a system consisting of a quantum kicked rotor with an additional degree of freedom. This models a single two-level atom with internal ground and excited states, and it is characterized by its quantum resonances with ballistic spreading and ... More

A geometric description of blackbody-like systems in thermodynamic equilibriumNov 07 2017Riemannian and contact geometry formalisms are used to study the fundamental equation of electromagnetic radiation-like systems, obeying a Stefan-Boltzmann's-like law. The vanishing of metric determinant is used for classifying what kind of systems can ... More

The Galactic Center Molecular Cloud Survey. I. A Steep Linewidth-Size Relation & Suppression of Star FormationOct 11 2016The Central Molecular Zone (CMZ; inner $\sim{}200~\rm{}pc$) of the Milky Way is a star formation (SF) environment with very extreme physical properties. Exploration of SF in this region is important because (i) this region allows us to test models of ... More

Integral Field Spectroscopy of Local LCBGs: NGC 7673, a case study. Physical properties of star-forming regionsNov 18 2010Physical properties of the star-forming regions in the local Luminous Compact Blue Galaxy NGC 7673 are studied in detail using 3D spectroscopic data taken with the PPAK IFU at the 3.5-m telescope in CAHA. We derive integrated and spatially resolved properties ... More

Analysis of 3D plasma motions in a chromospheric jet formed due to magnetic reconnectionJul 11 2018Oct 04 2018Within the framework of resistive MHD, implementing the C7 equilibrium atmosphere model and a 3D potential magnetic field realistic configuration, we simulate the formation of a plasm jet with the morphology, upward velocity up to 130 km/s and timescale ... More

Experimental verification of a quantumness criterion for single systems based on a Bell-like inequalityAug 11 2016Sep 28 2016In this letter, we propose and experimentally test a quantumness criterion for single systems. The criterion is based on the violation of an already reported classical inequality. This inequality is expressed in terms of joint probabilities that we identify ... More

There are no P-points in Silver extensionsMar 06 2017Oct 25 2018We prove that after adding a Silver real no ultrafilter from the ground model can be extended to a P-point, and this remains to be the case in any further extension which has the Sacks property. We conclude that there are no P-points in the Silver model. ... More

Pressure dependence of ferroelectric quantum critical fluctuations: tuning the soft phonon mode in strontium titanateMay 13 2019The effect of ferroelectric fluctuations on the temperature dependent dielectric constant of SrTiO$_3$ has been long studied. Those fluctuations have been shown in recent years to be quantum critical and STO demonstrated to form the archetypal quantum ... More

On well posedness for the inhomogeneous nonlinear Schrödinger equationJun 08 2016The purpose of this paper is to study well-posedness of the initial value problem (IVP) for the inhomogeneous nonlinear Schr\"odinger equation (INLS) $$ i u_t +\Delta u+\lambda|x|^{-b}|u|^\alpha u = 0, $$ where $\lambda=\pm 1$ and $\alpha$, $b>0$. We ... More

Lower Bounds for Parallel and Randomized Convex OptimizationNov 05 2018Jan 23 2019We study the question of whether parallelization in the exploration of the feasible set can be used to speed up convex optimization, in the local oracle model of computation. We show that the answer is negative for both deterministic and randomized algorithms ... More

Inf-sup stability of geometrically unfitted Stokes finite elementsMay 31 2016Dec 03 2016The paper shows an inf-sup stability property for several well-known 2D and 3D Stokes elements on triangulations which are not fitted to a given smooth or polygonal domain. The property implies stability and optimal error estimates for a class of unfitted ... More

Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin MethodsSep 11 2012In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinuous Galerkin methods only assuming the stabilizing parameters are large ... More

Driving the resonant quantum kicked rotor via extended initial conditionsMay 24 2011We study the resonances of the quantum kicked rotor subjected to an extended initial distribution. For the primary resonances we obtain the dispersion relation for the map of this system. We find an analytical dependence of the statistical moments on ... More

Quantum walks: decoherence and coin-flipping gamesAug 23 2010We investigate the global chirality distribution of the quantum walk on the line when decoherence is introduced either through simultaneous measurements of the chirality and particle position, or as a result of broken links. The first mechanism drives ... More

Tracing the Magnetic Field of IRDC G028.23$-$00.19 Using NIR PolarimetryFeb 24 2017The importance of the magnetic (B) field in the formation of infrared dark clouds (IRDCs) and massive stars is an ongoing topic of investigation. We studied the plane-of-sky B field for one IRDC, G028.23-00.19, to understand the interaction between the ... More

3D Spectroscopy of Local Luminous Compact Blue Galaxies: Kinematics of NGC 7673Nov 05 2009The kinematic properties of the ionized gas of local Luminous Compact Blue Galaxy (LCBG) NGC 7673 are presented using three dimensional data taken with the PPAK integral field unit at the 3.5-m telescope in the Centro Astron\'omico Hispano Alem\'an. Our ... More

Systematic study of actinide and pre-actinide fission modesAug 26 2016In this work, we present new experimental data on mass distribution of fission fragments from $^{241}$Am proton-induced fission at $660$ MeV measured at the LNR Phasotron (JINR). The systematic analysis of several measured fragment mass distributions ... More

Towards a FPGA-controlled deep phase modulation interferometerNov 25 2014Deep phase modulation interferometry was proposed as a method to enhance homodyne interferometers to work over many fringes. In this scheme, a sinusoidal phase modulation is applied in one arm while the demodulation takes place as a post-processing step. ... More

Hamiltonian formulation of teleparallel gravitySep 21 2016The Hamiltonian formulation of the teleparallel equivalent of general relativity (TEGR) is developed from an ordinary second-order Lagrangian, which is written as a quadratic form of the coefficients of anholonomy of the orthonormal frames (vielbeins). ... More

Quest for the extra degree of freedom in f(T) gravityOct 16 2018Dec 29 2018It has recently been shown that $f(T)$ gravity has $\frac{n(n-3)}{2}+1$ physical degrees of freedom (d.o.f.) in $n$ dimensions, contrary to previous claims. The simplest physical interpretation of this fact is that the theory possesses a scalar d.o.f. ... More

3D Spectroscopy of Local Luminous Compact Blue Galaxies: Kinematic Maps of a Sample of 22 ObjectsAug 15 2011We use three dimensional optical spectroscopy observations of a sample of 22 local Luminous Compact Blue Galaxies (LCBGs) to create kinematic maps. By means of these, we classify the kinematics of these galaxies into three different classes: rotating ... More

Suppression of Dielectronic Recombination Due to Finite Density Effects II: Analytical Refinement and Application to Density-dependent Ionization Balances and AGN Broad-line EmissionAug 22 2018We present improved fits to our treatment of suppression of dielectronic recombination at intermediate densities. At low densities, most recombined excited states eventually decay to the ground state, and therefore the total dielectronic recombination ... More

Heating up the Galaxy with Hidden PhotonsAug 31 2015We elaborate on the dynamics of ionized interstellar medium in the presence of hidden photon dark matter. Our main focus is the ultra-light regime, where the hidden photon mass is smaller than the plasma frequency in the Milky Way. We point out that as ... More

Some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level $m$Jan 10 2019The main purpose of this paper is to show some relations between the Riemann zeta function and the generalized Bernoulli polynomials of level $m$. Our approach is based on the use of Fourier expansions for the periodic generalized Bernoulli functions ... More

The IRAM-30m line survey of the Horsehead PDR: II. First detection of the l-C3H+ hydrocarbon cationOct 30 2012We present the first detection of the l-C3H+ hydrocarbon in the interstellar medium. The Horsehead WHISPER project, a millimeter unbiased line survey at two positions, namely the photo-dissociation region (PDR) and the nearby shielded core, revealed a ... More

Carbon and oxygen in HII regions of the Magellanic Clouds: abundance discrepancy and chemical evolutionFeb 03 2017We present C and O abundances in the Magellanic Clouds derived from deep spectra of HII regions. The data have been taken with the Ultraviolet-Visual Echelle Spectrograph at the 8.2-m VLT. The sample comprises 5 HII regions in the Large Magellanic Cloud ... More

Hamiltonian formalism for f(T) gravityFeb 06 2018We present the Hamiltonian formalism for $f(T)$ gravity, and prove that the theory has $\frac{n(n-3)}{2}+1$ degrees of freedom in $n$ dimensions. We start from a scalar-tensor action for the theory, that represents a scalar field minimally coupled with ... More

Sacks Forcing and the Shrink Wrapping PropertyAug 24 2017May 05 2019We consider a property stronger than the Sacks property, called the shrink wrapping property, which holds between the ground model and each Sacks forcing extension. Unlike the Sacks property, the shrink wrapping property does not hold between the ground ... More

Time-dependent Mechanics and Lagrangian submanifolds of Dirac manifoldsSep 01 2010Oct 21 2010A description of time-dependent Mechanics in terms of Lagrangian submanifolds of Dirac manifolds (in particular, presymplectic and Poisson manifolds) is presented. Two new Tulczyjew triples are discussed. The first one is adapted to the restricted Hamiltonian ... More

Degrees of freedom and local Lorentz invariance in f(T) gravityMar 15 2019f(T) gravity is a generalization of the teleparallel equivalent of general relativity (TEGR), where T is the torsion scalar made up of the Weitzenb\"{o}ck connection. This connection describes a spacetime with zero curvature but with nonvanishing torsion, ... More

Slow ionized wind and rotating disklike system associated with the high-mass young stellar object G345.4938+01.4677Oct 01 2014Oct 15 2014We report the detection, made using ALMA, of the 92 GHz continuum and hydrogen recombination lines (HRLs) H40$\alpha$, H42$\alpha$, and H50$\beta$ emission toward the ionized wind associated with the high-mass young stellar object G345.4938+01.4677. This ... More

Sequential motion planning in connected sums of real projective spacesMar 06 2019In this short note we observe that the higher topological complexity of an iterated connected sum of real projective spaces is maximal possible. Unlike the case of regular TC, the result is accessible through easy mod 2 zero-divisor cup-length considerations. ... More

Conformational dynamics of a single protein monitored for 24 hours at video rateJun 19 2018Oct 05 2018We use plasmon rulers to follow the conformational dynamics of a single protein for up to 24 h at a video rate. The plasmon ruler consists of two gold nanospheres connected by a single protein linker. In our experiment, we follow the dynamics of the molecular ... More

Nuclear medium effects in muonic neutrino interaction with energies from 0.2 GeV to 1.5 GeVOct 18 2017Nuclear reactions induced by muon neutrino with energies in the range from 0.2 to 1.5 GeV in Monte Carlo calculations framework in the intra-nuclear cascade model are studied. This study was done by comparison between the available experimental data and ... More

On Noncommutative Minisuperspace and the Friedmann equationsDec 22 2008In this paper we present noncommutative version of scalar field cosmology. We find the noncommutative Friedmann equations as well as the noncommutative Klein-Gordon equation. Interestingly the noncommutative contributions are only present up to second ... More

Lower Bounds on the Oracle Complexity of Nonsmooth Convex Optimization via Information TheoryJul 19 2014We present an information-theoretic approach to lower bound the oracle complexity of nonsmooth black box convex optimization, unifying previous lower bounding techniques by identifying a combinatorial problem, namely string guessing, as a single source ... More

Kerr geometry in f(T) gravityDec 01 2014Feb 05 2015Null tetrads are shown to be a valuable tool in teleparallel theories of modified gravity. We use them to prove that Kerr geometry remains a solution for a wide family of f(T) theories of gravity.

McVittie solution in f(T) gravityJul 20 2017Jan 05 2018We show that McVittie geometry, which describes a black hole embedded in a FLRW universe, not only solves Einstein equations but also remains as a non-deformable solution of f(T) gravity. This search for GR solutions that survive in f(T) gravity is facilitated ... More

Mechanism Design for Demand Response Programs with financial and non-monetary (social) IncentivesSep 28 2017Oct 27 2017Most demand management approaches with non-mandatory policies assume full users' cooperation, which may not be the case given users' beliefs, needs and preferences. In this paper we propose a mechanism for demand management including incentives both with ... More

InP femtosecond mode-locked laser in a compound feedback cavity with a switchable repetition rateFeb 16 2018A monolithically integrated mode-locked semiconductor laser is proposed. The compound ring cavity is composed of a colliding pulse mode-locking (ML) subcavity and a passive Fabry-Perot feedback subcavity. These two 1.6 mm long subcavities are coupled ... More

Multivariate Subjective Fiducial InferenceApr 25 2018Jun 28 2018The aim of this paper is to firmly establish subjective fiducial inference as a rival to the more conventional schools of statistical inference, and to show that Fisher's intuition concerning the importance of the fiducial argument was correct. In this ... More

Mathias--Prikry and Laver type forcing; Summable ideals, coideals, and $+$-selective filtersJan 10 2015Feb 11 2016We study the Mathias--Prikry and the Laver type forcings associated with filters and coideals. We isolate a crucial combinatorial property of Mathias reals, and prove that Mathias--Prikry forcings with summable ideals are all mutually bi-embeddable. We ... More

Membrane penetration and trapping of an active particleJan 10 2019The interaction between nano- or micro-sized particles and cell membranes is of crucial importance in many biological and biomedical applications such as drug and gene delivery to cells and tissues. During their cellular uptake, the particles can pass ... More

Linking Dense Gas from the Milky Way to External GalaxiesMar 30 2016Jun 01 2016In a survey of 65 galaxies, Gao & Solomon (2004) found a tight linear relation between the infrared luminosity ($L_{\rm{IR}}$, a proxy for the star formation rate) and the HCN(1-0) luminosity ($L_{\rm{HCN}}$). Wu et al. (2005, 2010) found that this relation ... More

On a generalized form of subjective probabilityOct 25 2018This paper is motivated by the questions of how to give the concept of probability an adequate real-world meaning, and how to explain a certain type of phenomenon that can be found, for instance, in Ellsberg's paradox. It attempts to answer these questions ... More

Organic Fiducial InferenceJan 23 2019A substantial generalization is put forward of the theory of subjective fiducial inference as it was outlined in earlier papers. In particular, this theory is extended to deal with cases where the data are discrete or categorical rather than continuous, ... More

Acceleration of particles in Schwarzschild and Kerr geometriesFeb 13 2019The Landau-Lifshitz decomposition of spacetime, or (1+3)\,-split, determines the three-dimensional velocity and acceleration as measured by static observers. We use these quantities to analyze the geodesic particles in Schwarzschild and Kerr spacetimes. ... More

Spherical Hartree-Fock calculations with linear momentum projection before the variation.Part I: Energies, form factors, charge densities and mathematical sum rulesMar 24 2005Spherical Hartree--Fock calculations with projection onto zero total linear momentum before the variation are performed for the nuclei 4He, 12C, 16O, 28Si, 32S and 40Ca using a density--independent effective nucleon--nucleon interaction. The results are ... More

Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations in ultra-relativistic regime and gravimagnetic momentSep 17 2015Oct 13 2016Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations in the Lagrangian formulation correspond to the minimal interaction of spin with gravity. Due to the interaction, in the Lagrangian equations instead of the original metric $g$ emerges spin-dependent ... More

Angular acceleration with radial dependence of twisted lightDec 15 2016While photons travel in a straight line at constant velocity in free-space, the intensity profile of structured light may be tailored for acceleration in any degree of freedom. Here we propose a simple approach to control the angular acceleration of light. ... More

On $\mathbb R$-embeddability of almost disjoint families and Akemann-Doner C*-algebrasJan 02 2019An almost disjoint family $\mathcal A$ of subsets of $\mathbb N$ is said to be $\mathbb R$-embeddable if there is a function $f:\mathbb N\rightarrow \mathbb R$ such that the sets $f[A]$ are ranges of real sequences converging to distinct reals for distinct ... More

Supersymmetric techniques applied to the Jacobi equationJan 22 1997May 07 1998The simple supersymmetric approach recently used by Dutt, Gangopadhyaya, and Sukhatme [Am. J. Phys. 65 400 (1997)] for spherical harmonics is generalized to Jacobi equation, including also the intermediate Gegenbauer case

Acceleration of particles in Schwarzschild and Kerr geometriesFeb 13 2019Mar 05 2019The Landau-Lifshitz decomposition of spacetime, or (1+3)-split, determines the three-dimensional velocity and acceleration as measured by static observers. We use these quantities to analyze the geodesic particles in Schwarzschild and Kerr spacetimes. ... More

Endurance of quantum coherence due to particle indistinguishability in noisy quantum networksOct 12 2018Quantum coherence, the physical property underlying fundamental phenomena such as multi-particle interference and entanglement, has emerged as a valuable resource upon which modern technologies are founded. In general, the most prominent adversary of ... More

Model-Checking Process EquivalencesOct 09 2012Process equivalences are formal methods that relate programs and system which, informally, behave in the same way. Since there is no unique notion of what it means for two dynamic systems to display the same behaviour there are a multitude of formal process ... More

Why is the electrocaloric effect so small in ferroelectrics?Nov 05 2014Apr 28 2016Ferroelectrics are attractive candidate materials for environmentally friendly solid state refrigeration free of greenhouse gases. Their thermal response upon variations of external electric fields is largest in the vicinity of their phase transitions, ... More

Structure Factor of a Relaxor FerroelectricDec 14 2012Apr 21 2015We study a minimal model for a relaxor ferroelectric including dipolar interactions, and short-range harmonic and anharmonic forces for the critical modes as in the theory of pure ferroelectrics together with quenched disorder coupled linearly to the ... More

Bayesian, classical and hybrid methods of inference when one parameter value is specialSep 06 2018This paper considers the problem of making statistical inferences about a parameter when a narrow interval centred at a given value of the parameter is considered special, which is interpreted as meaning that there is a substantial degree of prior belief ... More

Scattering for the radial focusing INLS equation in higher dimensionsMar 31 2017We consider the inhomogeneous nonlinear Schr\"odinger equation $$ i u_t +\Delta u+|x|^{-b}|u|^\alpha u = 0, $$ where $\frac{4-2b}{N}<\alpha<\frac{4-2b}{N-2}$ (when $N=2$, $\frac{4-2b}{N}<\alpha<\infty$) and $0<b<\min\{N/3,1\}$. For a radial initial data ... More

Frame-dragging effect in the field of non rotating body due to unit gravimagnetic momentFeb 21 2018Nonminimal spin-gravity interaction through unit gravimagnetic moment leads to modified Mathisson-Papapetrou-Tulczyjew-Dixon equations with improved behavior in the ultrarelativistic limit. We present exact Hamiltonian of the resulting theory and compute ... More

Relativistic effects due to gravimagnetic moment of a rotating bodySep 19 2017Oct 02 2017We compute exact Hamiltonian (and corresponding Dirac brackets) for spinning particle with gravimagnetic moment $\kappa$ in an arbitrary gravitational background. $\kappa=0$ corresponds to the Mathisson-Papapetrou-Tulczyjew-Dixon (MPTD) equations. $\kappa=1$ ... More

Ultra-relativistic spinning particle and a rotating body in external fieldsOct 27 2015Oct 13 2016We use the vector model of spinning particle to analyze the influence of spin-field coupling on the particle's trajectory in ultra-relativistic regime. The Lagrangian with minimal spin-gravity interaction yields the equations equivalent to the Mathisson-Papapetrou-Tulczyjew-Dixon ... More

The stability of the higher topological complexity of real projective spaces: an approach to their immersion dimensionSep 24 2016The $s$-th higher topological complexity of a space $X$, $TC_s(X)$, can be estimated from above by homotopical methods, and from below by homological methods. We give a thorough analysis of the gap between such estimates when $X=RP^m$, the real projective ... More

An Optimal Affine Invariant Smooth Minimization AlgorithmJan 03 2013Aug 12 2014We formulate an affine invariant implementation of the algorithm in Nesterov (1983). We show that the complexity bound is then proportional to an affine invariant regularity constant defined with respect to the Minkowski gauge of the feasible set. We ... More

Discrete Extension Operators for Mixed finite element spaces on locally refined meshesJun 20 2014Mar 02 2015The existence of uniformly bounded discrete extension operators is established for conforming Raviart-Thomas and N\'ed\'elec discretisations of $H(div)$ and $H(curl)$ on locally refined partitions of a polyhedral domain into tetrahedra.