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Deviations to Tri-Bi-Maximal mixing in the limit of $μ-τ$ symmetryMar 13 2019In the limit of an approximate $\mu-\tau$ symmetry in the neutrino mass matrix, we explore deviations to the Tri-Bi-Maximal mixing pattern in the neutrino sector. We consider two different ansatzes for the corrected pattern to predict the current values ... More

Generating $θ_{13}$ from sterile neutrinos in $μ- τ$ symmetric modelsJul 24 2015Oct 07 2015The smallness of the $\theta_{13}$ mixing angle as observed in neutrino oscillation experiments can be understood through an approximated $\mu - \tau$ exchange symmetry in the neutrino mass matrix. Using recent oscillation neutrino data, but assuming ... More

Leptonic CP phases near the $μ-τ$ symmetric limitMar 07 2016Jun 30 2016The neutrino masses and mixings indicated by current neutrino oscillation experiments suggest that the neutrino mass matrix possesses an approximate $\mu-\tau$ exchange symmetry. In this study, we explore the neutrino parameter space and show that if ... More

Nonparametric reconstruction of the Om diagnostic to test LCDMNov 22 2015Cosmic acceleration is usually related with the unknown dark energy, which equation of state, w(z), is constrained and numerically confronted with independent astrophysical data. In order to make a diagnostic of w(z), the introduction of a null test of ... More

CogSciK: Clustering for Cognitive Science Motivated Decision MakingNov 09 2017Computational models of decisionmaking must contend with the variance of context and any number of possible decisions that a defined strategic actor can make at a given time. Relying on cognitive science theory, the authors have created an algorithm that ... More

On the minimum trace norm of (0,1)-matricesMar 02 2017Mar 17 2017The trace norm of a matrix is the sum of its singular values. This paper presents results on the minimum trace norm $\psi_{n}\left( m\right) $ of $\left( 0,1\right) $-matrices of size $n\times n$ with exactly $m$ ones. It is shown that: (1) if $n\geq2$ ... More

A non-singular black hole mass threshold from gravitational collapse in Eddington-inspired Born-Infeld theoryDec 16 2015In this letter we address the implications when an Oppenheimer-Snyder dust model is considered as a scenario for gravitational collapse in the context of Eddington-inspired Born-Infeld (EiBI) theory. In order to describe the dynamical evolution of the ... More

Oriented bounding boxes using multiresolution contours for fast interference detection of arbitrary geometry objectsNov 11 2016Interference detection of arbitrary geometric objects is not a trivial task due to the heavy computational load imposed by implementation issues. The hierarchically structured bounding boxes help us to quickly isolate the contour of segments in interference. ... More

Catenoidal layers for the Allen-Cahn equation in bounded domainsApr 21 2015In this paper we present a new family of solutions to the singularly perturbed Allen-Cahn equation $\alpha^2 \Delta u + u(1-u^2)=0, \quad \hbox{in }\Omega\subset \R^N $ where $N=3$, $\Omega$ is a smooth bounded domain and $\A>0$ is a small parameter. ... More

Existence and Morse Index of least energy nodal solution of the $(p,2)$-laplacianDec 06 2018In this paper we study the quasilinear equation $- \ep^2 \Delta u-\Delta_p u=f(u)$ in a smooth bounded domain $\Omega$ with Dirichlet boundary condition. For $\ep \geq 0$, we review existence of a least energy nodal solution and then present information ... More

Hole probability for nodal sets of the cut-off Gaussian Free FieldFeb 26 2016Sep 02 2016Let ($\Sigma$, g) be a closed connected surface equipped with a riemannian metric. Let ($\lambda$ n) n$\in$N and ($\psi$ n) n$\in$N be the increasing sequence of eigenvalues and the sequence of corresponding L 2-normalized eigenfunctions of the laplacian ... More

Anomalies in local Weyl laws and applications to random topology at critical dimensionNov 07 2016Jun 20 2018Let $\mathcal{M}$ be a smooth manifold of positive dimension $n$ equipped with a smooth density $d\mu_{\mathcal{M}}$. Let $A$ be a polyhomogeneous elliptic pseudo-differential operator of positive order $m$ on $\mathcal{M}$ which is symmetric for the ... More

Regularized Pel-Recursive Motion Estimation Using Generalized Cross-Validation and Spatial AdaptationNov 04 2016The computation of 2-D optical flow by means of regularized pel-recursive algorithms raises a host of issues, which include the treatment of outliers, motion discontinuities and occlusion among other problems. We propose a new approach which allows us ... More

Some properties of Fibonacci numbers, Fibonacci octonions and generalized Fibonacci-Lucas octonionsMay 07 2015Jun 12 2015In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.

On Sutured Khovanov Homology and Axis-Preserving MutationsMay 12 2015This paper establishes that sutured annular Khovanov homology is not invariant for braid closures under axis-preserving mutations. This follows from an explicit relationship between sutured annular Khovanov homology and the classical Burau representation ... More

Gorenstein projective dimension with respect to a semidualizing moduleNov 22 2006Jan 02 2009We introduce and investigate the notion of $\gc$-projective modules over (possibly non-noetherian) commutative rings, where $C$ is a semidualizing module. This extends Holm and J{\o}rgensen's notion of $C$-Gorenstein projective modules to the non-noetherian ... More

Coherent systems of finite support iterationsSep 18 2016Mar 29 2017We introduce a forcing technique to construct three-dimensional arrays of generic extensions through FS (finite support) iterations of ccc posets, which we refer to as 3D-coherent systems. We use them to produce models of new constellations in Cicho\'n's ... More

A Multiple-Input Multiple-Output CepstrumMar 08 2018This paper extends the concept of scalar cepstrum coefficients from single-input single-output linear time invariant dynamical systems to multiple-input multiple-output models, making use of the Smith-McMillan form of the transfer function. These coefficients ... More

Multiplicity results and qualitative properties for semilinear elliptic problems with Neumann boundary conditionsJan 05 2018In this paper we study multiplicity and qualitative behavior of solutions for semilinear elliptic problems with neumann boundary condition and asymptotically linear smooth nonlinearity. We provide sufficient conditions on the number of eigenvalues the ... More

Interstitial iron tuning of the spin fluctuations in Fe1+xTeMar 09 2011Mar 31 2011Using neutron inelastic scattering, we investigate the low-energy spin fluctuations in Fe1+xTe as a function of both temperature and interstitial iron concentration. For Fe1.057(7)Te the magnetic structure is defined by a commensurate wavevector of (1/2,0,1/2). ... More

DBI Galileon inflation in the light of Planck 2015Apr 06 2015Feb 27 2016In this work we consider a DBI Galileon (DBIG) inflationary model and constrain its parameter space with the Planck 2015 and BICEP2/Keck array and Planck (BKP) joint analysis data by means of a potential independent analysis. We focus our attention on ... More

Evolution of a Powerful Radio Loud Quasar 3C186 and its Impact on the Cluster Environment at z=1Aug 09 2007X-ray cluster emission has been observed mainly in clusters with "inactive" cD galaxies (L_bol ~1E40-1E43erg/sec), which do not show signs of accretion onto a SMBH. Our recent Chandra discovery of ~100kpc scale diffuse X-ray emission revealed the presence ... More

Counterroating incommensurate magnetic order and strong quantum fluctuations in the honeycomb layers of $\rm NaNi_2BiO_6$Jul 06 2018We report the magnetic structure of the honeycomb antiferromagnet $\rm NaNi_2BiO_6$. We find magnetic order with moments along the $c$ axis below $T_{c1}=6.3\>{\rm K}$ and then in the honeycomb plane below $T_{c2}=4.8\>{\rm K}$ with a counterrotating ... More

Simulating Surveys for ELT-MOSAIC: Status of the MOSAIC Science Case after Phase AJun 08 2018We present the consolidated scientific case for multi-object spectroscopy with the MOSAIC concept on the European ELT. The cases span the full range of ELT science and require either 'high multiplex' or 'high definition' observations to best exploit the ... More

The Closed String Tachyon and its relationship with the evolution of the UniverseJan 21 2013We present a cosmological landscape where the classical closed string tachyon field plays an important role in the framework of a critical bosonic compactification. Our cosmological solutions for a universe with constant curvature describes an finite ... More

Fluctuations of gravitational waves in Eddington inspired Born-Infeld theoryMar 07 2018In this paper we review the EiBI gravity in the presence of a cosmological constant and its tensor perturbations analysis. We show the existence of gravitational waves in the past-time, seeing as a result the smooth transition between high-energy densities ... More

Some graph theoretical characterizations of positive definite symmetric quasi-Cartan matricesDec 03 2014We present some graphical characterizations of positive definite symmetric quasi-Cartan matrices of Dynkin type $\mathbb{A}_{n}$ and $\mathbb{D}_{n}$. Our proofs are constructive, purely graph theoretical, and almost self-contained in the sense that they ... More

Antiferromagnetic and Orbital Ordering on a Diamond Lattice Near Quantum CriticalityMar 25 2016We present neutron scattering measurements on powder samples of the spinel FeSc2S4 that reveal a previously unobserved magnetic ordering transition occurring at 11.8(2)~K. Magnetic ordering occurs subsequent to a subtle cubic-to-tetragonal structural ... More

New Thread Migration Strategies for NUMA SystemsSep 28 2018Multicore systems present on-board memory hierarchies and communication networks that influence performance when executing shared memory parallel codes. Characterising this influence is complex, and understanding the effect of particular hardware configurations ... More

The homotopy colimit of an $\infty$-local system as a twisted tensor productMay 03 2018May 22 2018We describe several equivalent models for the $\infty$-category of $\infty$-local systems of chain complexes over a space using the framework of quasi-categories. We prove that the given models are equivalent as $\infty$-categories by exploiting the relationship ... More

AutoFrame: Automatic Frame Inference for Object-Oriented LanguagesAug 27 2018Aug 28 2018Automatic program verification has made tremendous strides, but is not yet for the masses. How do we make it less painful? This article addresses one of the obstacles: the need to specify explicit "frame clauses", expressing what properties are left unchanged ... More

The VLT-FLAMES Tarantula Survey. XIII: On the nature of O Vz stars in 30 DoradusDec 11 2013AIMS. We test the hypothesis of O Vz stars (characterized by having HeII4686 stronger in absorption than other He lines in their blue-violet spectra) being at a younger evolutionary stage than are normal O-type dwarfs. METHODS. We have performed a quantitative ... More

The VLT-FLAMES Tarantula Survey X: Evidence for a bimodal distribution of rotational velocities for the single early B-type starsDec 11 2012Aims: Projected rotational velocities (\vsini) have been estimated for 334 targets in the VLT-FLAMES Tarantula survey that do not manifest significant radial velocity variations and are not supergiants. They have spectral types from approximately O9.5 ... More

Modulated magnetism and anomalous electronic transport in $\rm Ce_3Cu_4As_4O_2$Jun 15 2016The complex magnetism and transport properties of tetragonal Ce$_3$Cu$_4$As$_4$O$_2$ were examined through neutron scattering and physical properties measurements on polycrystalline samples. The lamellar structure consists of alternating layers of $\rm ... More

A quantitative approach to weighted Carleson ConditionFeb 21 2016Quantitative versions of weighted estimates obtained by F. Ruiz and J.L. Torrea in the 80's for the operator \[ \mathcal{M}f(x,t)=\sup_{x\in Q,\,l(Q)\geq t}\frac{1}{|Q|}\int_{Q}|f(x)|dx \qquad x\in\mathbb{R}^{n}, \, t \geq0 \] are obtained. As a consequence, ... More

Optimal detection of a jump in the intensity of a Poisson process or in a density with likelihood ratio statisticsNov 13 2012Feb 25 2014We consider the problem of detecting a `bump' in the intensity of a Poisson process or in a density. We analyze two types of likelihood ratio based statistics which allow for exact finite sample inference and asymptotically optimal detection: The maximum ... More

A lower bound for the Bogomolny-Schmit constant for random monochromatic plane wavesMar 06 2018Sep 13 2018This note deals with nodal domains of random monochromatic plane waves. It was shown by Nazarov and Sodin that the expected number of such nodal domains included in a disk of radius $R$ is proportional to $\pi R^2$ in the large $R$ limit. However, very ... More

The Schubert normal form of a 3-bridge link and the 3-bridge link groupFeb 28 2017We introduce the Schubert form a $3$-bridge link diagram, as a generalization of the Schubert normal form of a $3$-bridge link. It consists of a set of six positive integers, written as $\left( p/n,q/m,s/l\right) $, with some conditions and it is based ... More

Bikei Invariants and Gauss Diagrams for Virtual Knotted SurfacesSep 27 2014Jun 05 2015Marked vertex diagrams provide a combinatorial way to represent knotted surfaces in $\mathbb{R}^4$; including virtual crossings allows for a theory of virtual knotted surfaces and virtual cobordisms. Biquandle counting invariants are defined only for ... More

Model Checking the Quantitative mu-Calculus on Linear Hybrid SystemsSep 08 2012Sep 19 2012We study the model-checking problem for a quantitative extension of the modal mu-calculus on a class of hybrid systems. Qualitative model checking has been proved decidable and implemented for several classes of systems, but this is not the case for quantitative ... More

Priority-Aware Near-Optimal Scheduling for Heterogeneous Multi-Core Systems with Specialized AcceleratorsDec 08 2017To deliver high performance in power limited systems, architects have turned to using heterogeneous systems, either CPU+GPU or mixed CPU-hardware systems. However, in systems with different processor types and task affinities, scheduling tasks becomes ... More

Some generalizations of the functions $τ$ and $τ^{\left(e\right)}$ in algebraic number fieldsFeb 25 2019In this paper, we generalize the arithmetic functions $\tau$ and $\tau^{\left(e\right)}$ in algebraic number fields and we find some properties of these functions.

Massive quark scattering at strong coupling from AdS/CFTNov 02 2009May 26 2010We extend the analysis of Alday and Maldacena for obtaining gluon scattering amplitudes at strong coupling to include external massive quark states. Our quarks are actually the N=2 hypermultiplets which arise when D7-brane probes are included in the AdS_5 ... More

The $\ell^\infty$-semi-norm on uniformly finite homologyFeb 04 2015May 29 2015Uniformly finite homology is a coarse homology theory, defined via chains that satisfy a uniform boundedness condition. By construction, uniformly finite homology carries a canonical $\ell^\infty$-semi-norm. We show that, for uniformly discrete spaces ... More

Spectral geometry in a rotating frame: properties of the ground stateFeb 08 2019We investigate spectral properties of the operator describing a quantum particle confined to a planar domain $\Omega$ rotating around a fixed point with an angular velocity $\omega$ and demonstrate several properties of its principal eigenvalue $\lambda_1^\omega$. ... More

An annular refinement of the transverse element in Khovanov homologyJul 22 2015We construct a braid conjugacy class invariant $\kappa$ by refining Plamenevskaya's transverse element $\psi$ in Khovanov homology via the annular grading. While $\kappa$ is not an invariant of transverse links, it distinguishes some braids whose closures ... More

Accretion states of the Galactic microquasar GRS 1758-258Mar 15 2011We present the results of a radio and X-ray study of the Galactic microquasar GRS 1758-258, using unpublished archival data and new observations. We focus in particular on the 2000-2002 state transitions, and on its more quiet behaviour in 2008-2009. ... More

A regular analogue of the Smilansky model: spectral propertiesSep 10 2016We analyze spectral properties of the operator $H=\frac{\partial^2}{\partial x^2} -\frac{\partial^2}{\partial y^2} +\omega^2y^2-\lambda y^2V(x y)$ in $L^2(\mathbb{R}^2)$, where $\omega\ne 0$ and $V\ge 0$ is a compactly supported and sufficiently regular ... More

Some remarks regarding a, b, x0, x1 numbers and a, b, x0, x1 quaternionsApr 30 2017Oct 08 2017In this paper we define and study properties and applications of a, b, x0, x1 elements in some special cases.

Some examples of division symbol algebras of degree 3 and 5Oct 04 2013In this paper we provide an algorithm to compute the product between two elements in a symbol algebra of degree n and we find an octonion non-division algebra in a symbol algebra of degree three. Starting from this last idea, we try to find an answer ... More

Multi-Field Inflation on the LandscapeDec 01 2008Mar 04 2009We examine a wide class of multi-field inflationary models based on fields that decay or stabilize during inflation in a staggered fashion. The fields driving assisted inflation are on flat, short stretches, before they encounter a sharp drop; whenever ... More

On the first determination of Mercury's perihelion advanceApr 04 2011The first determination of the perihelion advance of Mercury's orbit was obtained by Leverrier from the analysis of the transit contacts of the planet on the solar disk. He obtained for the advance the value \delta \pi ' = 38".3/century, considering that ... More

Derived classification of gentle algebras with two cyclesAug 28 2007Aug 14 2008We classify gentle algebras defined by quivers with two cycles under derived equivalence in a non degenerate case, by using some combinatorial invariants constructed from the quiver with relations defining these algebras. We also present a list of normal ... More

Some remarks regarding l elements defined in algebras obtained by the Cayley-Dickson processJul 15 2018In this paper, we define a special class of elements in the algebras obtained by the Cayley Dickson process, called l elements. We find conditions such that these elements to be invertible. These conditions can be very useful for finding new identities, ... More

Applications of some special numbers obtained from a difference equation of degree threeMay 07 2017Aug 12 2017In this paper we present applications of some special numbers obtained from a difference equation of degree three, especially in the Coding Theory. As a particular case, we obtain the generalized Pell-Fibonacci-Lucas numbers, which were extended to the ... More

Asymptotic Conditional Distribution of Exceedance Counts: Fragility Index with Different MarginsAug 03 2011Let $\bm X=(X_1,...,X_d)$ be a random vector, whose components are not necessarily independent nor are they required to have identical distribution functions $F_1,...,F_d$. Denote by $N_s$ the number of exceedances among $X_1,...,X_d$ above a high threshold ... More

Finite forms of Gowers' Theorem on the oscillation stability of $c_0$Dec 17 2013We give a constructive proof of the finite version of Gowers' $FIN_k$ Theorem and analyse the corresponding upper bounds. The $FIN_k$ Theorem is closely related to the oscillation stability of $c_0$. The stabilization of Lipschitz functions on arbitrary ... More

Beck-Chevalley condition and Goursat categoriesDec 13 2015Dec 28 2016We characterise regular Goursat categories through a specific stability property of regular epimorphisms with respect to pullbacks. Under the assumption of the existence of some pushouts this property can be also expressed as a restricted Beck-Chevalley ... More

On the characterization of Jónsson-Tarski and of subtractive varietiesApr 22 2014We investigate unital, subtractive and strongly unital regular categories with enough projectives and give characterizations of their projective covers. The categorical equation "strongly unital = unital + subtractive" is explored: this leads to proofs ... More

Homological aspects of semidualizing modulesMar 21 2007Aug 05 2008We investigate the notion of the C-projective dimension of a module, where C is a semidualizing module. When C=R, this recovers the standard projective dimension. We show that three natural definitions of finite C-projective dimension agree, and investigate ... More

Uniformly finite homology and amenable groupsSep 24 2013Uniformly finite homology is a coarse invariant for metric spaces; in particular, it is a quasi-isometry invariant for finitely generated groups. In this article, we study uniformly finite homology of finitely generated amenable groups and prove that ... More

Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocityApr 19 2018We study the spectrum of the Dirichlet Laplacian on an unbounded twisted tube with twisting velocity exploding to infinity. If the tube cross section does not intersect the axis of rotation, then its spectrum is purely discrete under some additional conditions ... More

A regular analogue of the Smilansky model: spectral propertiesSep 10 2016Mar 24 2017We analyze spectral properties of the operator $H=\frac{\partial^2}{\partial x^2} -\frac{\partial^2}{\partial y^2} +\omega^2y^2-\lambda y^2V(x y)$ in $L^2(\mathbb{R}^2)$, where $\omega\ne 0$ and $V\ge 0$ is a compactly supported and sufficiently regular ... More

Task Scheduling for Heterogeneous Multicore SystemsDec 08 2017In recent years, as the demand for low energy and high performance computing has steadily increased, heterogeneous computing has emerged as an important and promising solution. Because most workloads can typically run most efficiently on certain types ... More

Critical hysteresis on dilute triangular lattice revisitedMar 11 2019Critical hysteresis in the zero-temperature random-field Ising model on a dilute triangular lattice was studied in Phys Rev E 91, 012131 (2015). The occupation probability $c$ of a sublattice was decreased to transform a triangular lattice ($c=1$) to ... More

The VLT-FLAMES Tarantula Survey XXVI: Properties of the O-dwarf population in 30 DoradusFeb 15 2017The VLT-FLAMES Tarantula Survey has observed hundreds of O-type stars in the 30 Doradus region of the Large Magellanic Cloud (LMC). We study the properties of 105 apparently single O-type dwarfs. To determine stellar and wind parameters, we used the IACOB-GBAT ... More

From mean-field localized magnetism to itinerant spin fluctuations in the "Non-metallic metal" - FeCrAsFeb 13 2018Jun 01 2018FeCrAs displays an unusual electrical response that is neither metallic in character nor divergent at low temperatures, as expected for an insulating response, and therefore it has been termed a "nonmetal-metal". We carried out neutron scattering experiments ... More

On regular polytopesOct 01 2012Regular polytopes, the generalization of the five Platonic solids in 3 space dimensions, exist in arbitrary dimension $n\geq-1$; now in {\rm dim}. 2, 3 and 4 there are \emph{extra} polytopes, while in general dimensions only the hyper-tetrahedron, the ... More

FAST Adaptive Smoothing and Thresholding for Improved Activation Detection in Low-Signal fMRIFeb 01 2017Oct 30 2018Functional Magnetic Resonance Imaging is a noninvasive tool used to study brain function. Detecting activation is challenged by many factors, and even more so in low-signal scenarios that arise in the performance of high-level cognitive tasks. We provide ... More

On the Identification of Wide Binaries in the Kepler FieldJun 29 2018We perform a search for wide binaries in the Kepler field with the prospect of providing new constraints for gyrochronology. First, we construct our base catalog by compiling astrometry for the stars observed by Kepler, and supplement it with parallaxes, ... More

New structural results on tetravalent half-arc-transitive graphsJan 26 2018Tetravalent graphs admitting a half-arc-transitive subgroup of automorphisms, that is a subgroup acting transitively on its vertices and its edges but not on its arcs, are investigated. One of the most fruitful approaches for the study of structural properties ... More

Bayesian Online Detection and Prediction of Change PointsFeb 12 2019Online detection of instantaneous changes in the generative process of a data sequence generally focuses on retrospective inference of such change points without considering their future occurrences. We extend the Bayesian Online Change Point Detection ... More

Tracing the Origins and Evolution of Small Planets using Their Orbital ObliquitiesMar 11 2019We recommend an intensive effort to survey and understand the obliquity distribution of small close-in extrasolar planets over the coming decade. The orbital obliquities of exoplanets--i.e., the relative orientation between the planetary orbit and the ... More

General calculation of the cross section for dark matter annihilations into two photonsNov 23 2016Oct 27 2017Assuming that the underlying model satisfies some general requirements such as renormalizability and CP conservation, we calculate the non-relativistic one-loop cross section for any self-conjugate dark matter particle annihilating into two photons. We ... More

Resolving the Interstellar Medium at the Peak of Cosmic Star FormationOct 10 2018The interstellar medium feeds both the formation of stars and the growth of black holes, making it a key ingredient in the evolution of galaxies. With the advent of the Atacama Large Millimeter/ submillimeter Array (ALMA), we can now probe the interstellar ... More

Large deviation principles for non-uniformly hyperbolic rational mapsDec 27 2008Feb 06 2010We show some level-2 large deviation principles for rational maps satisfying a strong form of non-uniform hyperbolicity, called "Topological Collet-Eckmann". More precisely, we prove a large deviation principle for the distribution of iterated preimages, ... More

Conductance through a helical state in an InSb nanowireJan 24 2017The motion of an electron and its spin are generally not coupled. However in a one dimensional material with strong spin-orbit interaction (SOI) a helical state may emerge at finite magnetic fields, where electrons of opposite spin will have opposite ... More

On sequence spaces for Fréchet framesNov 19 2008We analyze the construction of a sequence space $\widetilde{\Theta}$, resp. a sequence of sequence spaces, in order to have $\{g_i\}$ as a $\widetilde{\Theta}$-frame or Banach frame for a Banach space $X$, resp. pre-$F$-frame or $F$-frame for a Fr\'echet ... More

Quality assessment metrics for edge detection and edge-aware filtering: A tutorial reviewJan 01 2018The quality assessment of edges in an image is an important topic as it helps to benchmark the performance of edge detectors, and edge-aware filters that are used in a wide range of image processing tasks. The most popular image quality metrics such as ... More

On R-duals and the duality principle in Gabor analysisApr 11 2014The concept of R-duals of a frame was introduced by Casazza, Kutyniok and Lammers in 2004, with the motivation to obtain a general version of the duality principle in Gabor analysis. For tight Gabor frames and Gabor Riesz bases the three authors were ... More

Frame expansions of test functions, tempered distributions, and ultradistributionsDec 19 2017The paper is devoted to frame expansions in Fr\'echet spaces. First we review some results which concern series expansions in general Fr\'echet spaces via Fr\'echet and General Fr\'echet frames. Then we present some new results on series expansions of ... More

On various R-duals and the duality principleSep 21 2015The duality principle states that a Gabor system is a frame if and only if the corresponding adjoint Gabor system is a Riesz sequence. In general Hilbert spaces and without the assumption of any particular structure, Casazza, Kutyniok and Lammers have ... More

One-sided continuity properties for the Schonmann projectionFeb 06 2018Feb 12 2018We consider the plus-phase of the two-dimensional Ising model below the critical temperature. In $1989$ Schonmann proved that the projection of this measure onto a one-dimensional line is not a Gibbs measure. After many years of continued research which ... More

The magnetic and structural properties near the Lifshitz point in Fe1+xTeSep 24 2013We construct a phase diagram of the parent compound Fe1+xTe as a function of interstitial iron x in terms of the electronic, structural, and magnetic properties. For a concentration of x < 10%, Fe1+xTe undergoes a "semimetal" to metal transition at approximately ... More

From Ising resonant fluctuations to static uniaxial order in antiferromagnetic and weakly superconducting CeCo(In$_{1-x}$Hg$_{x}$)$_{5}$ ($x$=0.01)Jul 09 2018CeCo(In$_{0.990}$Hg$_{0.010}$)$_{5}$ is a charge doped variant of the $d$-wave CoCoIn$_{5}$ superconductor with coexistent antiferromagnetic and superconducting transitions occurring at T$_{N}$= 3.4 K and T$_{c}$=1.4 K, respectively. We use neutron diffraction ... More

The role of random electric fields in relaxorsMay 09 2014PbZr_{1-x}Ti_xO_3 (PZT) and Pb(Mg_{1/3}Nb_{2/3})_{1-x}Ti_xO_3 (PMN-$x$PT) are complex lead-oxide perovskites that display exceptional piezoelectric properties for pseudorhombohedral compositions near a tetragonal phase boundary. In PZT these compositions ... More

A Local Quantum Phase Transition in YFe$_{2}$Al$_{10}$Dec 11 2017Dec 13 2017A phase transition occurs when correlated regions of a new phase grow to span the system and the fluctuations within the correlated regions become long-lived. Here we present neutron scattering measurements showing that this conventional picture must ... More

Almost solutions of equations in permutationsSep 07 2007We will say that the permutations f_1,...,f_n is an e-solution of an equation if the normalized Hamming distance between its l.h.p. and r.h.p. is less than e. We give a sufficient conditions when near to an e-solution exists an exact solution and some ... More

Optical Detection of the Pictor A Jet and Tidal Tail: Evidence against an IC/CMB jetJun 15 2015New images from the Hubble Space Telescope of the FRII radio galaxy Pictor A reveal a previously undiscovered tidal tail, as well as a number of jet knots coinciding with a known X-ray and radio jet. The tidal tail is approximately 5" wide (3 kpc projected), ... More

A Radio Through X-ray Study of the Jet/Companion-Galaxy Interaction in 3C 321Dec 17 2007Jan 18 2008We present a multiwavelength study of the nucleus, environment, jets, and hotspots of the nearby FRII radio galaxy 3C 321, using new and archival data from MERLIN, the VLA, Spitzer, HST, and Chandra. An initially collimated radio jet extends northwest ... More

Astro2020 Science White Paper: Toward Finding Earth 2.0: Masses and Orbits of Small Planets with Extreme Radial Velocity PrecisionMar 13 2019Having discovered that Earth-sized planets are common, we are now embarking on a journey to determine if Earth-like planets are also common. Finding Earth-like planets is one of the most compelling endeavors of the 21st century - leading us toward finally ... More

Combinatorial derived invariants for gentle algebrasJul 14 2006Aug 17 2007We define derived equivalent invariants for gentle algebras, constructed in an easy combinatorial way from the quiver with relations defining these algebras. Our invariants consist of pairs of natural numbers and contain important information about the ... More

How wing compliance drives the efficiency of self-propelled flapping flyersFeb 25 2010Jul 20 2010Wing flexibility governs the flying performance of flapping wing flyers. Here, we use a self-propelled flapping-wing model mounted on a ``merry go round'' to investigate the effect of wing compliance on the propulsive efficiency of the system. Our measurements ... More

Goursat completionsAug 04 2018We characterize categories with weak finite limits whose regular completions give rise to Goursat categories.

Representation of the inverse of a frame multiplierAug 31 2011Dec 12 2013Certain mathematical objects appear in a lot of scientific disciplines, like physics, signal processing and, naturally, mathematics. In a general setting they can be described as frame multipliers, consisting of analysis, multiplication by a fixed sequence ... More

Detailed characterization of unconditional convergence and invertibility of multipliersJul 05 2010In this paper we investigate the possibility of unconditional convergence and invertibility of multipliers $M_{m,\Phi,\Psi}$ depending on the properties of the sequences $\Psi$,$\Phi$ and $m$. We characterize a complete set of conditions for the invertibility ... More

On the dual frame induced by an invertible frame multiplierMar 17 2016Recently it has been established that given an invertible frame multiplier with semi-normalized symbol, a specific dual of any of the two involved frames can be determined for the inversion purpose. The inverse can be represented as a multiplier with ... More

Kronecker products and the RSK correspondenceMar 23 2010The starting point for this work is an identity that relates the number of minimal matrices with prescribed 1-marginals and coefficient sequence to a linear combination of Kronecker coefficients. In this paper we provide a bijection that realizes combinatorially ... More

First order QED effects on a spatially flat FLRW spacetime with a Milne-type scale factorMar 12 2019The quantum electrodynamics (QED) on a spatially flat $(1+3)$-dimensional Friedmann-Lema\^ itre-Robertson-Walker (FLRW) spacetime with a Milne-type scale factor is outlined focusing on the amplitudes of the allowed effects in the first order of perturbations. ... More

An excess of massive stars in the local 30 Doradus starburstJan 09 2018The 30 Doradus star-forming region in the Large Magellanic Cloud is a nearby analogue of large star-formation events in the distant Universe. We determine the recent formation history and the initial mass function (IMF) of massive stars in 30 Doradus ... More