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Bayesian inferences on uncertain ranks and orderingsJul 10 2019It is common to be interested in rankings or order relationships among entities. In complex settings where one does not directly measure a univariate statistic upon which to base ranks, such inferences typically rely on statistical models having entity-specific ... More

On the accuracy of the high redshift cluster luminosity functionOct 08 2008We study the reliability of the statistical background subtraction method for computing the Ks-band luminosity function of cluster galaxies at z~1 using mock Red-sequence Cluster Survey cluster catalogues constructed from GALFORM semi-analytic galaxies. ... More

Strong Clustering of Lyman Break Galaxies around Luminous Quasars at z~4Jan 04 2017In the standard picture of structure formation, the first massive galaxies are expected to form at the highest peaks of the density field, which constitute the cores of massive proto-clusters. Luminous quasars (QSOs) at z~4 are the most strongly clustered ... More

Clustering of Lyman-alpha Emitters Around Quasars at $z\sim4$Apr 11 2019The strong observed clustering of $z>3.5$ quasars indicates they are hosted by massive ($M_{\rm{halo}}\gtrsim10^{12}\,h^{-1}\,\rm{M_{\odot}}$) dark matter halos. Assuming quasars and galaxies trace the same large-scale structures, this should also manifest ... More

Module traces and Hopf group-coalgebrasSep 04 2018Let H be a finite-dimensional pivotal and unimodular Hopf algebra over a field k. It was shown in [BBGa] that the projective tensor ideal in H-mod admits a unique non-degenerate modified trace, a natural generalisation of the categorical trace. This paper ... More

Electromagnetic Formalism of the Propagation and Amplification of LightJul 15 2019In this work, we present a simplified but comprehensive derivation of all the key concepts and main results concerning light pulse propagation in dielectric media, including a brief extension to the case of active media and laser oscillation. Clarifications ... More

Neural Processes Mixed-Effect Models for Deep Normative Modeling of Clinical Neuroimaging DataDec 12 2018Apr 15 2019Normative modeling has recently been introduced as a promising approach for modeling variation of neuroimaging measures across individuals in order to derive biomarkers of psychiatric disorders. Current implementations rely on Gaussian process regression, ... More

Robustly non-hyperbolic transitive symplectic dynamicsJul 20 2017We construct symplectomorphisms in dimension $d\geq 4$ having a semi-local robustly transitive partially hyperbolic set containing $C^2$-robust homoclinic tangencies of any codimension $c$ with $0<c\leq d/2$.

Robust tangencies of large codimensionJul 18 2017We construct $C^2$-robust homoclinic and heterodimensional tangencies of large codimension inside transitive partially hyperbolic sets.

Ergodicity of non-autonomous discrete systems with non-uniform expansionNov 21 2018We study the ergodicity of non-autonomous discrete dynamical systems with non-uniform expansion. As an application we get that any uniformly expanding finitely generated semigroup action of $C^{1+\alpha}$ local diffeomorphisms of a compact manifold is ... More

Dynamical analysis of strong-lensing galaxy groups at intermediate redshiftDec 11 2012We present VLT spectroscopic observations of 7 discovered galaxy groups between 0.3<z<0.7. The groups were selected from the Strong Lensing Legacy Survey (SL2S), a survey that consists in a systematic search for strong lensing systems in the Canada-France-Hawaii ... More

Photometric Classification of quasars from RCS-2 using Random ForestMay 21 2014Aug 25 2015Aims. Construction of a new quasar candidate catalog from the Red-Sequence Cluster Survey 2 (RCS-2), identified solely from photometric information using an automated algorithm suitable for large surveys. The algorithm performance is tested using a well-defined ... More

The Inside-out Growth of the Most Massive Galaxies at 0.3<z<0.9Jun 16 2014Jun 18 2014We study the surface brightness profiles of a sample of brightest cluster galaxies (BCGs) with 0.3<z<0.9. The BCGs are selected from the first Red-sequence Cluster Survey and an X-ray cluster survey. The surface brightness profiles of the BCGs are measured ... More

Dynamics of iterated function systems on the circle close to rotationsMar 11 2013Jul 16 2015We study the dynamics of iteration function systems generated by a pair of circle diffeomorphisms close to rotations in the $C^{1+\mathrm{bv}}$-topology. We characterize the obstruction to minimality and describe the limit set. In particular, there are ... More

The Optical Afterglow of GRB 011211Feb 15 2002Apr 24 2002We present early-time optical photometry and spectroscopy of the optical afterglow of the gamma-ray burst GRB 011211. The spectrum of the optical afterglow contains several narrow metal lines which are consistent with the burst occurring at a redshift ... More

Galaxy Clusters in the Line of Sight to Background Quasars - III Multi-Object SpectroscopyJun 26 2013We present Gemini/GMOS-S multi-object spectroscopy of 31 galaxy cluster candidates at redshifts between 0.2 and 1.0 and centered on QSO sight-lines taken from Lopez et al. (2008). The targets were selected based on the presence of a intervening MgII absorption ... More

Galaxy Clusters in the Line of Sight to Background Quasars: I. Survey Design and Incidence of MgII Absorbers at Cluster RedshiftsMar 05 2008We describe the first optical survey of absorption systems associated with galaxy clusters at z= 0.3-0.9. We have cross-correlated SDSS DR3 quasars with high-redshift cluster/group candidates from the Red-Sequence Cluster Survey. We have found 442 quasar-cluster ... More

The Morphological Transformation of Red Sequence Galaxies in Clusters since $z \sim 1$Jul 03 2017The study of galaxy morphology is fundamental to understand the physical processes driving the structural evolution of galaxies. It has long been known that dense environments host high fractions of early-type galaxies and low fractions of late-type galaxies, ... More

The Accelerated Build-up of the Red Sequence in High Redshift Galaxy ClustersJan 27 2016We analyse the evolution of the red sequence in a sample of galaxy clusters at redshifts $0.8<z<1.5$ taken from the HAWK-I Cluster Survey (HCS). The comparison with the low-redshift ($0.04<z<0.08$) sample of the WIde-field Nearby Galaxy-cluster Survey ... More

Extremal exponents of random products of conservative diffeomorphismsSep 23 2018We show that for a $C^1$-open and $C^{r}$-dense subset of the set of ergodic iterated function systems of conservative diffeomorphisms of a finite-volume manifold of dimension $d\geq 2$, the extremal Lyapunov exponents do not vanish. In particular, the ... More

Coexistence of extended and localized states in one-dimensional systemsJun 05 2018Mobility edge transitions from localized to extended states have been observed in two and three dimensional systems, for which sound theoretical explanations have also been derived. One-dimensional lattice models have failed to predict their emergence, ... More

Kerr-NUT-de Sitter as an Inhomogeneous Non-Singular Bouncing CosmologyApr 15 2019We present exact non-singular bounce solutions of general relativity in the presence of a positive cosmological constant and an electromagnetic field, without any exotic matter. The solutions are distinguished by being spatially inhomogeneous in one direction, ... More

Accretion relicts in the solar neighbourhood: debris from omegaCen's parent galaxyAug 30 2004Jan 25 2005We use numerical simulations to investigate the orbital characteristics of tidal debris from satellites whose orbits are dragged into the plane of galactic disks by dynamical friction before disruption. We find that these satellites may deposit a significant ... More

3D printing dimensional calibration shape: Clebsch CubicDec 30 20153D printing and other layer manufacturing processes are challenged by dimensional accuracy. Several techniques are used to validate and calibrate dimensional accuracy through the complete building envelope. The validation process involves the growing ... More

A New Open-Source Nuclear Equation of State Framework based on the Liquid-Drop Model with Skyrme InteractionJul 05 2017Jul 28 2017The equation of state (EOS) of dense matter is an essential ingredient for numerical simulations of core-collapse supernovae and neutron star mergers. The properties of matter near and above nuclear saturation density are uncertain, which translates into ... More

Larger sizes of massive quiescent early-type galaxies in clusters than in the field at 0.8 < z < 1.5Jun 28 2013[abridged] The mass-size relation of early-type galaxies (ETGs) has been largely studied in the last years to probe the mass assembly of the most massive objects in the Universe. In this paper, we focus on the mass-size relation of quiescent massive ETGs ... More

Open Cluster Characterization via Cross-Correlation with Spectral LibrarySep 30 2009We present a characterization method based on spectral cross-correlation to obtain the physical parameters of the controversial stellar aggregate ESO442-SC04. The data used was obtained with GMOS at Gemini-South telescope including 17 stars in the central ... More

Ballistic Electron Emission Microscopy on CoSi${}_2$/Si(111) interfaces: band structure induced atomic-scale resolution and role of localized surface statesOct 19 1998Applying a Keldysh Green`s function method it is shown that hot electrons injected from a STM-tip into a CoSi${}_2$/Si(111) system form a highly focused beam due to the silicide band structure. This explains the atomic resolution obtained in recent Ballistic ... More

Thermodynamic Framework for Compact q-Gaussian DistributionsAug 01 2017Recent works have associated systems of particles, characterized by short-range repulsive interactions and evolving under overdamped motion, to a nonlinear Fokker-Planck equation within the class of nonextensive statistical mechanics, with a nonlinear ... More

Deep Learning Based Large-Scale Automatic Satellite Crosswalk ClassificationJun 28 2017Jul 05 2017High-resolution satellite imagery have been increasingly used on remote sensing classification problems. One of the main factors is the availability of this kind of data. Even though, very little effort has been placed on the zebra crossing classification ... More

Bayesian Bootstraps for Massive DataMay 28 2017Mar 22 2019In this article, we present data-subsetting algorithms that allow for the approximate and scalable implementation of the Bayesian bootstrap. They are analogous to two existing algorithms in the frequentist literature: the bag of little bootstraps (Kleiner ... More

Chaos in reversible homoclinic bifocusOct 15 2018We show that any neighborhood of a non-degenerate reversible bifocal homoclinic orbit contains chaotic suspended invariant sets on $N$-symbols for all $N\geq 2$. This will be achieved by showing switching associated with networks of secondary homoclinic ... More

Chaos near a reversible homoclinic bifocusOct 15 2018Jul 01 2019We show that any neighborhood of a non-degenerate reversible bifocal homoclinic orbit contains chaotic suspended invariant sets on $N$-symbols for all $N\geq 2$. This will be achieved by showing switching associated with networks of secondary homoclinic ... More

Bayesian Bootstraps for Massive DataMay 28 2017Recently, two scalable adaptations of the bootstrap have been proposed: the bag of little bootstraps (BLB; Kleiner et al., 2014) and the subsampled double bootstrap (SDB; Sengupta et al., 2016). In this paper, we introduce Bayesian bootstrap analogues ... More

First results from the CALYPSO IRAM-PdBI survey - III. Monopolar jets driven by a proto-binary system in NGC1333-IRAS2AJan 26 2014Context: The earliest evolutionary stages of low-mass protostars are characterised by hot and fast jets which remove angular momentum from the circumstellar disk, thus allowing mass accretion onto the central object. However, the launch mechanism is still ... More

Hierarchical Bayesian Data Fusion for Robotic Platform NavigationApr 21 2017Data fusion has become an active research topic in recent years. Growing computational performance has allowed the use of redundant sensors to measure a single phenomenon. While Bayesian fusion approaches are common in general applications, the computer ... More

Stability of Uniform Shear FlowMay 15 1997The stability of idealized shear flow at long wavelengths is studied in detail. A hydrodynamic analysis at the level of the Navier-Stokes equation for small shear rates is given to identify the origin and universality of an instability at any finite shear ... More

The Near Infrared NaI Doublet Feature in M StarsOct 29 1996The NaI near-infrared doublet has been used to indicate the dwarf/giant population in composite systems, but its interpretation is still a contentious issue. In order to understand the behaviour of this controversial feature, we study the observed and ... More

The exact dynamical Chern Simons metric for a spinning black hole possesses a fourth constant of motion: A Dynamical-Systems-Based ConjectureApr 09 2018Jul 02 2018The recent gravitational wave observations by the LIGO/Virgo collaboration have allowed the first tests of General Relativity in the extreme gravity regime, when comparable-mass black holes and neutron stars collide. Future space-based detectors, such ... More

Investigation of the electroplastic effect using nanoindentationMay 31 2019A promising approach to deform metallic-intermetallic composite materials is the application of electric current pulses during the deformation process to achieve a lower yield strength and enhanced elongation to fracture. This is known as the electroplastic ... More

Galactic r-process enrichment by neutron star mergers in cosmological simulations of a Milky Way-mass galaxyJul 25 2014Nov 13 2014We quantify the stellar abundances of neutron-rich r-process nuclei in cosmological zoom-in simulations of a Milky Way-mass galaxy from the Feedback In Realistic Environments project. The galaxy is enriched with r-process elements by binary neutron star ... More

Face-on Dust Disks in Galaxies with Optical JetsJul 24 2000The presence of optical synchrotron jets in radio galaxies is relatively rare. Here, we show that of the nearest five FR-I 3CR radio galaxies showing optical jets, {\it four} show evidence for almost circular, presumably face-on, dust disks. This is strong ... More

Molecular Line Emission as a Tool for Galaxy Observations (LEGO). I. HCN as a tracer of moderate gas densities in molecular clouds and galaxiesJul 17 2017Trends observed in galaxies, such as the Gao \& Solomon relation, suggest a linear relation between the star formation rate and the mass of dense gas available for star formation. Validation of such relations requires the establishment of reliable methods ... More

Quartz-enhanced photoacoustic spectroscopy as a platform for non-invasive trace gas analyser targeting breath analysisApr 24 2017An innovative and novel quartz-enhanced photoacoustic spectroscopy (QEPAS) sensor for highly sensitive and selective breath gas analysis is introduced. The QEPAS sensor consists of two acoustically coupled micro-resonators (mR) with an off-axis 20 kHz ... More

Coarse graining a non-Markovian collisional modelJan 23 2017The dynamics of systems subjected to noise is called Markovian in the absence of memory effects, i.e. when its immediate future only depends on its present. Time correlations in the noise source may generate non-Markovian effects that, sometimes, can ... More

On the nature of the ring-like structure in the outer Galactic diskMar 13 2003Jun 16 2003We examine the tidal disruption of satellite galaxies in a cosmological simulation of the formation of a disk galaxy in the $\Lambda$CDM scenario. We find that the disruption of satellite galaxies in orbits roughly coplanar with the disk leads naturally ... More

Giant clumps in the FIRE simulations: a case study of a massive high-redshift galaxyMar 11 2016The morphology of massive star-forming galaxies at high redshift is often dominated by giant clumps of mass ~10^8-10^9 Msun and size ~100-1000 pc. Previous studies have proposed that giant clumps might have an important role in the evolution of their ... More

Innermost Stable Circular Orbits and Epicyclic Frequencies Around a Magnetized Neutron StarSep 25 2013Dec 19 2013A full-relativistic approach is used to compute the radius of the innermost stable circular orbit (ISCO), the Keplerian, frame-dragging, precession and oscillation frequencies of the radial and vertical motions of neutral test particles orbiting the equatorial ... More

Hyperconvex representations and exponential growthMar 01 2012Let $G$ be a real algebraic semi-simple Lie group and $\Gamma$ be the fundamental group of a compact negatively curved manifold. In this article we study the limit cone, introduced by Benoist, and the growth indicator function, introduced by Quint, for ... More

A law for star formation in galaxiesApr 18 2011We study the galactic-scale triggering of star formation. We find that the largest mass-scale not stabilized by rotation, a well defined quantity in a rotating system and with clear dynamical meaning, strongly correlates with the star formation rate in ... More

Hamiltonian loops on the symplectic blow upOct 06 2015We lift a Hamiltonian loop on a symplectic manifold to a Hamiltonian loop on the symplectic one-point blow up of a symplectic manifold. Then we use Weinstein's morphism to show that the lifted Hamiltonian loop has infinite order on the fundamental group ... More

Weak functoriality of Cohen-Macaulay algebrasJan 30 2018Nov 24 2018We prove the weak functoriality of (big) Cohen-Macaulay algebras, which controls the whole skein of "homological conjectures" in commutative algebra [H1][HH2]. Namely, for any local homomorphism $ R\to R'$ of complete local domains, there exists a compatible ... More

Quantum extensions of ordinary mapsNov 05 2018Nov 28 2018We define a loop to be quantum nullhomotopic if and only if it admits a nonempty quantum set of extensions to the unit disk. We show that the canonical loop in the unit circle is not quantum nullhomotopic, but that every loop in the real projective plane ... More

A complete system of deduction for Sigma formulasJul 04 2018Dec 03 2018The Sigma formulas of the language of arithmetic express semidecidable relations on the natural numbers. More generally, whenever a totality of objects is regarded as incomplete, the Sigma formulas express relations that are witnessed in a completed portion ... More

Genaue modellbasierte Identifikation von gynäkologischen Katheterpfaden für die MRT-bildgestützte BrachytherapieFeb 27 2018Mar 10 2018German text, english abstract: Mortality in gynecologic cancers, including cervical, ovarian, vaginal and vulvar cancers, is more than 6% internationally [1]. In many countries external radiotherapy is supplemented by brachytherapy with high locally administered ... More

Perfectoid spaces and the homological conjecturesJan 30 2018This is a survey of recent advances in commutative algebra, especially in mixed characteristic, obtained by using the theory of perfectoid spaces. An explanation of these techniques and a short account of the author's proof of the direct summand conjecture ... More

A Cut Discontinuous Galerkin Method for Coupled Bulk-Surface ProblemsJul 07 2017We develop a cut Discontinuous Galerkin method (cutDGM) for a diffusion-reaction equation in a bulk domain which is coupled to a corresponding equation on the boundary of the bulk domain. The bulk domain is embedded into a structured, unfitted background ... More

Reducing False Alarms in Searches for Gravitational Waves from Coalescing Binary SystemsFeb 10 2008LIGO observatories in Livingston, LA and Hanford, WA may detect gravitational waves emitted from coalescing binary systems composed of two compact objects. In order to detect compact binary coalescence (CBC) events, LIGO searches utilize matched filtering ... More

Riemannian Geometry on Contact Lie GroupsFeb 20 2014We investigate contact Lie groups having a left invariant Riemannian or pseudo-Riemannian metric with specific properties such as being bi-invariant, flat, negatively curved, Einstein, etc. We classify some of such contact Lie groups and derive some obstruction ... More

Does the Chapman--Enskog expansion for sheared granular gases converge?Nov 20 2007Feb 21 2008The fundamental question addressed in this paper is whether the partial Chapman--Enskog expansion $P_{xy}=-\sum_{k=0}^\infty \eta_k ({\partial u_x}/{\partial y})^{2k+1}$ of the shear stress converges or not for a gas of inelastic hard spheres. By using ... More

Thermodynamic consistency between the energy and virial routes in the mean spherical approximation for soft potentialsJan 04 2007Feb 03 2007It is proven that, for any soft potential characterized by a finite Fourier transform $\widetilde{\phi}(k)$, the virial and energy thermodynamic routes are equivalent for approximations such that the Fourier transform of the total correlation function ... More

Nonlinear viscosity and velocity distribution function in a simple longitudinal flowFeb 16 2000Aug 18 2000A compressible flow characterized by a velocity field $u_x(x,t)=ax/(1+at)$ is analyzed by means of the Boltzmann equation and the Bhatnagar-Gross-Krook kinetic model. The sign of the control parameter (the longitudinal deformation rate $a$) distinguishes ... More

Asymptotic Enumeration of $I_3$-free DigraphsMay 01 2015We prove that almost all digraphs not embedding an independent set of size 3 consist of two disjoint tournaments, and discuss connections with the theory of homogeneous simple structures.

The classification of chiral WZW models by $H^4_+(BG,\mathbb Z)$Feb 09 2016Sep 19 2016We axiomatize the defining properties of chiral WZW models. We show that such models are in almost bijective correspondence with pairs $(G,k)$, where $G$ is a connected Lie group and $k \in H^4_+(BG,\mathbb Z)$ is a degree four cohomology class subject ... More

Approaching ultra-strong coupling in Transmon circuit-QED using a high-impedance resonatorApr 14 2017In this experiment, we couple a superconducting Transmon qubit to a high-impedance $645\ \Omega$ microwave resonator. Doing so leads to a large qubit-resonator coupling rate $g$, measured through a large vacuum Rabi splitting of $2g\simeq 910$ MHz. The ... More

Quantum computing with incoherent resources and quantum jumpsNov 05 2011Spontaneous emission and the inelastic scattering of photons are two natural processes usually associated with decoherence and the reduction in the capacity to process quantum information. Here we show that when suitably detected, these photons are sufficient ... More

A Multi-Criteria Framework with Voxel-Dependent Parameters for Radiotherapy Treatment Plan OptimizationOct 25 2012In a treatment plan optimization problem for radiotherapy, a clinically acceptable plan is usually generated by an optimization process with weighting factors or reference doses adjusted for organs. Recent discoveries indicate that adjusting parameters ... More

Spatial coherence of fields from generalized sources in the Fresnel regimeJul 08 2017Mar 08 2018Analytic expressions of the spatial coherence of partially coherent fields propagating in the Fresnel regime in all but the simplest of scenarios are largely lacking and calculation of the Fresnel transform typically entails tedious numerical integration. ... More

On the inverse problem of source reconstruction from coherence measurementsFeb 08 2018May 05 2018We consider an inverse source problem for partially coherent light propagating in the Fresnel regime. The data is the coherence of the field measured away from the source. The reconstruction is based on a minimum residue formulation, which uses the authors' ... More

Left Invariant Contact Structures on Lie GroupsMar 31 2004Sep 24 2004A result from Gromov ensures the existence of a contact structure on any connected non-compact odd dimensional Lie group. But in general such structures are not invariant under left translations of the Lie group. The problem of finding which Lie groups ... More

Can one improve the Froissart bound?Dec 03 2008Feb 20 2009We explain why we hope that the Froissart bound can be improved, either qualitatively or, more likely, quantitatively, by making a better use of unitarity, in particular elastic unitarity. In other instances (Gribov's theorem) elastic unitarity played ... More

The status of the heavy quark systemsMay 15 2007We review various inequalities on the order and the spacing of energy levels, wave function at the origin, etc... which were obtained since 1977 in the framework of the Schrodinger equation and applied to quarkonium and also to muonic atoms and alcaline ... More

Geodesic restrictions for the Casimir operatorDec 13 2010Jul 27 2011We consider the hyperbolic Casimir operator C defined on the tangent sphere bundle SY of a compact hyperbolic Riemann surface Y. We prove a nontrivial bound on the L^2-norm of the restriction of eigenfunctions of C to certain natural hypersurfaces in ... More

Bicommutant categories from conformal netsJan 09 2017Jun 27 2017We prove that the category of solitons of a finite index conformal net is a bicommutant category, and that its Drinfel'd center is the category of representations of the conformal net. In the special case of a chiral WZW conformal net with finite index, ... More

Ambiguity theory, old and newMay 16 2008This is a introductory survey of some recent developments of "Galois ideas" in Arithmetic, Complex Analysis, Transcendental Number Theory and Quantum Field Theory, and of some of their interrelations.

Seidel's Representation on the Hamiltonian Group of a Cartesian ProductMay 09 2008Let $(M,\omega)$ be a closed symplectic manifold and $\textup{Ham}(M,\omega)$ the group of Hamiltonian diffeomorphisms of $(M,\omega)$. Then the Seidel homomorphism is a map from the fundamental group of $\textup{Ham}(M,\omega)$ to the quantum homology ... More

Three-tier CFTs from Frobenius algebrasApr 27 2013Dec 23 2013These are lecture notes of a course given at the Summer School on Topology and Field Theories held at the Centre for Mathematics of the University of Notre Dame, Indiana, from May 29 to June 2, 2012. The idea of extending quantum field theories to manifolds ... More

Standard Model FitsJun 24 2002Recent results of tests of the Standard Model of electroweak interactions are presented. Data are used from the four LEP experiments, ALEPH, DELPHI, L3, OPAL, the SLD experiment at SLC, the TEVATRON p-pbar experiments CDF and D0 and the NuTeV neutrino ... More

Process chain approach to high-order perturbation calculus for quantum lattice modelsNov 14 2008Jun 29 2009A method based on Rayleigh-Schroedinger perturbation theory is developed that allows to obtain high-order series expansions for ground-state properties of quantum lattice models. The approach is capable of treating both lattice geometries of large spatial ... More

Behaviour of the wave function near the origin in the radial caseNov 29 2004Jul 13 2005We give one more proof in two and three space dimensions that the irregular solution of the Schrodinger equation, for zero angular momentum, is in fact the solution of an equation containing an extra 'delta function'. We propose another criterium to eliminate ... More

Constraints for non-zero secondary loadings in confirmatory factor analysisMar 11 2015Dec 20 2015In the context of confirmatory factor analysis, the independent clusters model has been found to be overly restrictive in several research contexts. Therefore, a less restrictive criterion for parsimony of non-salient loadings in confirmatory factor analysis ... More

Evolution of the early Universe in the scale invariant theoryFeb 26 2019Analytical solutions are obtained for the early cosmological phases in the scale invariant models with curvature k=0. They complete the analytical solutions already found in the matter--dominated era by (Jesus 2018). The physical properties in the radiative ... More

The acceleration relation in galaxies and scale invariant dynamics: another challenge for dark matterApr 12 2018Nov 08 2018A relation between the centripetal acceleration g_obs in galaxies and the gravity due to the baryon distribution g_bar has been found by McGaugh (2016) and Lelli et al.(2017). It also summarizes properties such as the Tully-Fisher and Faber-Jackson relations. ... More

Quantum setsApr 02 2018Apr 05 2019A quantum set is defined to be simply a set of nonzero finite-dimensional Hilbert spaces. Together with quantum binary relations, essentially those of Weaver, quantum sets form a dagger compact category; this class of categories is at the heart of categorical ... More

Continuity of minimizers to weighted least gradient problemsSep 01 2017Jul 18 2018We revisit the question of existence and regularity of minimizers to weighted least gradient problems on a fixed bounded domain, subject to a Dirichlet boundary condition, in the case where the boundary data is continuous and the weight function is C^2 ... More

Exact bulk correlation functions in one-dimensional nonadditive hard-core mixturesDec 03 2007In a recent paper [Phys. Rev. E \textbf{76}, 031202 (2007)], Schmidt has proposed a Fundamental Measure Density Functional Theory for one-dimensional nonadditive hard-rod fluid mixtures and has compared its predictions for the bulk structural properties ... More

An alternative to the LCDM model: the case of scale invarianceJan 14 2017The hypothesis is made that, at large scales where General Relativity may be applied, the empty space is scale invariant. This establishes a relation between the cosmological constant and the scale factor of the scale invariant framework. This relation ... More

Realizing rotation numbers on annular continuaJul 23 2015Jun 07 2016An annular continuum is a compact connected set $K$ which separates a closed annulus $A$ into exactly two connected components, one containing each boundary component. The topology of such continua can be very intricate (for instance, non-locally connected). ... More

Integrating L-infinity algebrasMar 23 2006Apr 15 2007Given an n-term L-infinity algebra L, we construct a Kan simplicial manifold which we think of as the 'Lie n-group' integrating L. This extends work of Getzler math.AT/0404003 . In the case of an ordinary Lie algebra, our construction gives the simplicial ... More

Comments on nonlinear viscosity and Grad's moment methodMar 25 2002Apr 09 2003It is shown that the steady unidirectional flow with vanishing heat flux considered by B. C. Eu [Phys. Rev. E 65, 031202 (2002)], and earlier by Uribe and Garcia--Colin [Phys. Rev. E 60, 4052 (1999)], is inconsistent with the exact conservation laws of ... More

Are the energy and virial routes to thermodynamics equivalent for hard spheres?Jul 05 2006Aug 28 2006The internal energy of hard spheres (HS) is the same as that of an ideal gas, so that the energy route to thermodynamics becomes useless. This problem can be avoided by taking an interaction potential that reduces to the HS one in certain limits. In this ... More

On the equivalence between the energy and virial routes to the equation of state of hard-sphere fluidsMay 03 2005The energy route to the equation of state of hard-sphere fluids is ill-defined since the internal energy is just that of an ideal gas and thus it is independent of density. It is shown that this ambiguity can be avoided by considering a square-shoulder ... More

Scale invariant cosmology and CMB temperatures as a function of redshiftsAug 29 2017Cosmological models assuming the scale invariance of the macroscopic empty space show an accelerated expansion, without calling for some unknown particles. Several comparisons between models and observations (tests on distances, m-z diagram, Omega_Lambda ... More

Loop groups and diffeomorphism groups of the circle as colimitsJun 26 2017Jan 27 2019We show that loop groups and the universal cover of $\mathrm{Diff}_+(S^1)$ can be expressed as colimits of groups of loops/diffeomorphisms supported in subintervals of $S^1$. Analogous results hold for based loop groups and for the based diffeomorphism ... More

Logic Blog 2017Apr 15 2018The blog is somewhat shorter than in previous years, It contains new insights in a variety of areas, including computability, quantum algorithmic version of the SMB theorem, descriptions of groups (both discrete and profinite), metric spaces. There are ... More

SUSY (ATLAS)Dec 29 2017During the LHC Run-II data-taking period, several searches for supersymmetric particles were performed by the ATLAS collaboration. The results from these searches are concisely reviewed. Model-independent and model-dependent limits on new particle production ... More

What Chern-Simons theory assigns to a pointMar 21 2015Jun 27 2017In this note, we answer the questions "What does Chern-Simons theory assign to a point?" and "What kind of mathematical object does Chern-Simons theory assign to a point?". Our answer to the first question is representations of the based loop group. More ... More

Le lemme d'Abhyankar perfectoideAug 31 2016We extend Faltings's "almost purity theorem" on finite etale extensions of perfectoid algebras (as generalized by Scholze and Kedlaya-Liu) to the ramified case, without restriction on the discriminant. The key point is a perfectoid version of Riemann's ... More

Four-dimensional black holes with scalar hair in nonlinear electrodynamicsMar 17 2016May 09 2016We consider a gravitating system consisting of a scalar field minimally coupled to gravity with a self-interacting potential and a U(1) nonlinear electromagnetic field. Solving analytically and numerically the coupled system for both power-law and Born-Infeld ... More

Spacetime torsion changes the polarization but not the speed of gravitational wavesMar 12 2019Gravitational waves, and multi-messenger astronomy, in particular, have opened up a new window into the Universe. For instance, the recently established experimental fact that electromagnetic and gravitational waves travel at the same speed in vacuum ... More