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The excluded area of two-dimensional hard particlesFeb 15 2019The excluded area between a pair of two-dimensional hard particles with given relative orientation is the region in which one particle cannot be located due to the presence of the other particle. The magnitude of the excluded area as a function of the ... More

Domain walls in two-dimensional nematics confined in a small circular cavityFeb 03 2014Using Monte Carlo simulation, we study a fluid of two-dimensional hard rods inside a small circular cavity bounded by a hard wall, from the dilute regime to the high-density, layering regime. Both planar and homeotropic anchoring of the nematic director ... More

Velocity gradient power functional for Brownian dynamicsOct 05 2017We present an explicit and simple approximation for the superadiabatic excess (over ideal gas) free power functional, admitting the study of the nonequilibrium dynamics of overdamped Brownian many-body systems. The functional depends on the local velocity ... More

Phase stacking diagram of colloidal mixtures under gravityMay 28 2013The observation of stacks of distinct layers in a colloidal or liquid mixture in sedimentation-diffusion equilibrium is a striking consequence of bulk phase separation. Drawing quantitative conclusions about the phase diagram is, however, very delicate. ... More

The role of sample height in the stacking diagram of colloidal mixtures under gravitySep 30 2016Bulk phase separation is responsible for the occurrence of stacks of different layers in sedimentation of colloidal mixtures. A recently proposed theory (de las Heras and Schmidt 2013 Soft Matter 9 8636) establishes a unique connection between the bulk ... More

Better than counting: Density profiles from force samplingOct 31 2017Nov 05 2018Calculating one-body density profiles in equilibrium via particle-based simulation methods involves counting of events of particle occurrences at (histogram-resolved) space points. Here we investigate an alternative method based on a histogram of the ... More

Sedimentation stacking diagram of binary colloidal mixtures and bulk phases in the plane of chemical potentialsNov 19 2014We give a full account of a recently proposed theory that explicitly relates the bulk phase diagram of a binary colloidal mixture to its phase stacking phenomenology under gravity [Soft Matter 9, 8636 (2013)]. As we demonstrate, the full set of possible ... More

Bulk fluid phase behaviour of colloidal platelet-sphere and platelet-polymer mixturesOct 09 2012Using a geometry-based fundamental measure density functional theory, we calculate bulk fluid phase diagrams of colloidal mixtures of vanishingly thin hard circular platelets and hard spheres. We find isotropic-nematic phase separation with strong broadening ... More

Commutators in finite p-groups with 3-generator derived subgroupMar 14 2019It is well known that, in general, the set of commutators of a group $G$ may not be a subgroup. Guralnick showed that if $G$ is a finite $p$-group with $p\ge 5$ such that $G'$ is abelian and $3$-generator, then all the elements of the derived subgroup ... More

Phase transitions in nanoconfined binary mixtures of highly oriented colloidal rodsMay 03 2010We analyse a binary mixture of colloidal parallel hard cylindrical particles with identical diameters but dissimilar lengths $L_1$ and $L_2$, with $s=L_2/L_1=3$, confined by two parallel hard walls in a planar slit-pore geometry, using a fundamental--measure ... More

Custom flow in overdamped Brownian DynamicsDec 05 2018When an external field drives a colloidal system out of equilibrium, the ensuing colloidal response can be very complex and obtaining a detailed physical understanding often requires case-by-case considerations. In order to facilitate systematic analysis, ... More

Reentrant Network Formation in Patchy Colloidal Mixtures under GravityFeb 12 2016We study a two-dimensional binary mixture of patchy colloids in sedimentation-diffusion-equilibrium using Monte Carlo simulation and Wertheim's theory. By tuning the buoyant masses of the colloids we can control the gravity-induced sequence of fluid stacks ... More

Surface and smectic layering transitions in binary mixtures of parallel hard rodsFeb 02 2010The surface phase behavior of binary mixtures of colloidal hard rods in contact with a solid substrate (hard wall) is studied, with special emphasis on the region of the phase diagram that includes the smectic A phase. The colloidal rods are modelled ... More

Confinement of two-dimensional rods in slit pores and square cavitiesFeb 12 2015Apr 20 2015Using Monte Carlo simulation, we analyse the behaviour of two-dimensional hard rods in four different types of geometric confinement: (i) a slit pore where the particles are confined between two parallel walls with homeotropic anchoring; (ii) a hybrid ... More

Temperature (de)activated patchy colloidal particlesNov 05 2015Jan 07 2016We present a new model of patchy particles in which the interaction sites can be activated or deactivated by varying the temperature of the system. We study the thermodynamics of the system by means of Wertheim's first order perturbation theory, and use ... More

Ordering in granular rod monolayers driven far from thermodynamic equilibriumMar 12 2015May 22 2015The orientational order in vertically agitated granular rod monolayers is investigated experimentally and compared quantitatively with equilibrium Monte Carlo simulations and density functional theory. At sufficiently high number density, short rods form ... More

Capillary and winding transitions in a confined cholesteric liquid crystalMay 04 2015Jul 23 2015We consider a Lebwohl-Lasher model of chiral particles confined in a planar cell (slit pore) with different boundary conditions, and solve it using mean-field theory. The phase behaviour of the system with respect to temperature and pore width is studied. ... More

Particle Conservation in Dynamical Density Functional TheoryNov 26 2015Jan 07 2016We present the exact adiabatic theory for the dynamics of the inhomogeneous density distribution of a classical fluid. Erroneous particle number fluctuations of dynamical density functional theory are absent, both for canonical and grand canonical initial ... More

Structural nonequilibrium forces in driven colloidal systemsNov 05 2018We identify a structural one-body force field that sustains spatial inhomogeneities in nonequilibrium overdamped Brownian many-body systems. The structural force is perpendicular to the local flow direction, it is free of viscous dissipation, it is microscopically ... More

Defects in vertically vibrated monolayers of cylindersJan 25 2019We analyse liquid-crystalline ordering in vertically vibrated monolayers of cylinders confined in a circular cavity. Short cylinders form tetratic arrangements with C$_4$ symmetry. This symmetry, which is incompatible with the geometry of the cavity, ... More

Percolation in binary and ternary mixtures of patchy colloidsJun 17 2016We investigate percolation in binary and ternary mixtures of patchy colloidal particles theoretically and using Monte Carlo simulations. Each particle has three identical patches, with distinct species having different types of patch. Theoretically we ... More

Phase diagrams of binary mixtures of patchy colloids with distinct numbers of patches: The network fluid regimeDec 16 2010Apr 26 2011We calculate the network fluid regime and phase diagrams of binary mixtures of patchy colloids, using Wertheim's first order perturbation theory and a generalization of Flory-Stockmayer's theory of polymerization. The colloids are modelled as hard spheres ... More

Bicontinuous and mixed gels in binary mixtures of patchy colloidal particlesNov 16 2011We investigate the thermodynamics and percolation regimes of model binary mixtures of patchy colloidal particles. The particles of each species have three sites of two types, one of which promotes bonding of particles of the same species while the other ... More

Topologically protected colloidal transport above a square magnetic latticeAug 02 2016We theoretically study the motion of magnetic colloidal particles above a magnetic pattern and compare the predictions with Brownian dynamics simulations. The pattern consists of alternating square domains of positive and negative magnetization. The colloidal ... More

Two-dimensional nematics in bulk and confined geometriesJul 13 2012Two-dimensional nematics possess peculiar properties that have been studied recently using computer simulation and various theoretical models. Here we review our own contribution to the field using density-functional theory, and present some preliminary ... More

Properties of patchy colloidal particles close to a surface: a Monte Carlo and density functional studySep 11 2012We investigate the behavior of a patchy particle model close to a hard-wall via Monte Carlo simulation and density functional theory (DFT). Two DFT approaches, based on the homogeneous and inhomogeneous versions of Wertheim's first order perturbation ... More

Phase diagrams of binary mixtures of patchy colloids with distinct numbers and types of patches: The empty fluid regimeJan 20 2011We investigate the effect of distinct bonding energies on the onset of criticality of low functionality fluid mixtures. We focus on mixtures of particles with two and three patches as this includes the mixture where 'empty' fluids were originally reported. ... More

Topologically protected colloidal transport above a square magnetic latticeAug 02 2016Oct 31 2016We theoretically study the motion of magnetic colloidal particles above a magnetic pattern and compare the predictions with Brownian dynamics simulations. The pattern consists of alternating square domains of positive and negative magnetization. The colloidal ... More

Computing the phase diagram of binary mixtures: a patchy particle case studyApr 03 2013We investigate the phase behaviour of 2D mixtures of bi-functional and three-functional patchy particles and 3D mixtures of bi-functional and tetra-functional patchy particles by means of Monte Carlo simulations and Wertheim theory. We start by computing ... More

Topological protection of multiparticle dissipative transportJun 14 2016Topological protection allows robust transport of localized phenomena such as quantum information, solitons, and dislocations. The transport can be either dissipative or non-dissipative. Here, we experimentally demonstrate and theoretically explain the ... More

Percolation of functionalized colloids on patterned substratesFeb 28 2018We study the percolation properties for a system of functionalized colloids on patterned substrates via Monte Carlo simulations. The colloidal particles are modeled as hard disks with three equally-distributed attractive patches on their perimeter. We ... More

Superadiabatic forces in Brownian many-body dynamicsAug 05 2014Theoretical approaches to nonequilibrium many-body dynamics generally rest upon an adiabatic assumption, whereby the true dynamics is represented as a sequence of equilibrium states. Going beyond this simple approximation is a notoriously difficult problem. ... More

Intersection of maximal subgroups in prosolvable groupsMar 09 2017Let $H$ be an open subgroup of a profinite group that can be expressed as intersection of maximal subgroups of $G.$ Given a positive real number $\eta,$ we say that $H$ is an $\eta$-intersection if there exists a family of maximal subgroups $M_1,\ldots,M_t$ ... More

Three proofs of the Casas-Alvero conjectureJun 19 2013The Casas-Alvero conjecture is about interpolation polynomials. There are some partial proofs of it, but there is not any proof in the general case.In this paper we propose three.

Floating nematic phase in colloidal platelet-sphere mixturesNov 13 2012The phase behaviour of colloidal dispersions is interesting for fundamental reasons and for technological applications such as photonic crystals and electronic paper. Sedimentation, which in everyday life is relevant from blood analysis to the shelf life ... More

Hard topological versus soft geometrical magnetic particle transportJul 10 2019The transport on top of a periodic two-dimensional hexagonal magnetic pattern of (i) a single macroscopic steel sphere, (ii) a doublet of wax/magnetite composite spheres, and (iii) an immiscible mixture of ferrofluid droplets with a perfluorinated liquid ... More

Capillary and anchoring effects in thin hybrid nematic films and connection with bulk behaviorJun 18 2008By means of a molecular model, we examine hybrid nematic films with antagonistic anchoring angles where one of the surfaces is in the strong anchoring regime. If anchoring at the other surface is weak, and in the absence of wetting by the isotropic phase, ... More

Density-functional study of defects in two-dimensional circular nematic nanocavitiesNov 18 2009We use density--functional theory to study the structure of two-dimensional defects inside a circular nematic nanocavity. The density, nematic order parameter, and director fields, as well as the defect core energy and core radius, are obtained in a thermodynamically ... More

Mesophase formation in a system of top-shaped hard molecules: Density functional theory and Monte Carlo simulationJun 10 2011We present the phase diagram of a system of mesogenic top-shaped molecules based on the Parsons- Lee density functional theory and Monte Carlo simulation. The molecules are modeled as a hard spherocylinder with a hard sphere embedded in its center. The ... More

Demixing and orientational ordering in mixtures of rectangular particlesMay 07 2007Using scaled-particle theory for binary mixtures of two-dimensional hard particles with rotational freedom, we analyse the stability of nematic phases and the demixing phase behaviour of a variety of mixtures, focussing on cases where at least one of ... More

Commutators in finite $p$-groups with $2$-generator derived subgroupSep 29 2017Apr 09 2018Let $G$ be a finite $p$-group whose derived subgroup $G'$ can be generated by $2$ elements. If $G'$ is abelian, Guralnick proved that every element of $G'$ is a commutator. In this paper, we prove that the condition that $G'$ should be abelian is not ... More

Colloidal topological insulatorsNov 14 2017Topological insulators insulate in the bulk but exhibit robust conducting edge states protected by the topology of the bulk material. Here, we design a colloidal topological insulator and demonstrate experimentally the occurrence of edge states in a classical ... More

Edge states at the boundary between topologically equivalent latticesSep 18 2018Edge currents of paramagnetic colloidal particles propagate at the edge between two topologically equivalent magnetic lattices of different lattice constant when the system is driven with periodic modulation loops of an external magnetic field. The number ... More

Universal enveloping algebras for Malcev color algebrasSep 15 2015In this paper we give a construction of the universal enveloping algebra of a Malcev algebra in categories of group algebra comodules with a symmetry given by a bicharacter of the group. A particular example of such categories is the category of super ... More

Locally quasi-convex topologies on the group of the integersMay 21 2013\noindent The most natural group topology on $\Z$ is the discrete one. There are other well-known group topologies on $\Z$, like the $p$-adic, defined for any prime number $p$. It is also an important group topology the weak topology with respect to the ... More

New equivalences to axioms weaker than AC in topologyOct 30 2015In this work, new equivalences of topological statements and weaker axioms than ${\bf AC}$ are proven. This equivalences include the use of anti-properties. All this equivalences have been checked with a computer using the theorem proving system Isabelle/Isar ... More

New algorithms to obtain analytical solutions of Einstein's equations in isotropic coordinatesMay 07 2019The main objective of this work, is to show two inequivalent methods to obtain new spherical symmetric solutions of Einstein's Equations with anisotropy in the pressures in isotropic coordinates. This was done inspired by the MGD method, which is known ... More

New algorithms to obtain analytical solutions of Einstein's equations in isotropic coordinatesMay 07 2019May 09 2019The main objective of this work, is to show two inequivalent methods to obtain new spherical symmetric solutions of Einstein's Equations with anisotropy in the pressures in isotropic coordinates. This was done inspired by the MGD method, which is known ... More

Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domainApr 18 2018May 16 2018The aim of this work is to obtain new analitical solutions for Einstein equations in the anisotropical domain. This will be done via the minimal geometric deformation (MGD) approach, which is a simple and systematical method that allow us to decouple ... More

Early-time dynamics of Bose gases quenched into the strongly interacting regimeNov 29 2018We study the early-time dynamics of a degenerate Bose gas after a sudden quench of the interaction strength, starting from a weakly interacting gas. By making use of a time-dependent generalization of the Nozi\`eres-Saint-James variational formalism, ... More

Single-channel transmission in gold one-atom contacts and chainsMar 11 2003We induce superconductivity by proximity effect in thin layers of gold and study the number of conduction channels which contribute to the current in one-atom contacts and atomic wires. The atomic contacts and wires are fabricated with a Scanning Tunneling ... More

Non metrizable topologies on Z with countable dual groupMar 12 2016In this paper we give two families of non-metrizable topologies on the group of the integers having a countable dual group which is isomorphic to a infinite torsion subgroup of the unit circle in the complex plane. Both families are related to $D$-sequences, ... More

Lattice symmetries and the topological protected transport of colloidal particlesJul 04 2017The topologically protected transport of colloidal particles on top of magnetic patterns of all possible single lattice constant two dimensional magnetic point group symmetries is studied experimentally, theoretically, and with numerical simulations. ... More

Crossover from three- to six-fold symmetry of colloidal aggregates in circular trapsSep 12 2018At sufficiently low temperatures and high densities, repulsive spherical particles in two-dimensions (2d) form close-packed structures with six-fold symmetry. By contrast, when the interparticle interaction has an attractive anisotropic component, the ... More

Linear topologies on $\Z$ are not Mackey topologiesJul 13 2011Sep 01 2011In this article it is shown that to every non-discrete Hausdorff linear topology on $\Z$ other metrizable locally quasi-convex group topologies can be associated which are strictly finer than the linear topology and such that the character groups coincide. ... More

Localized Stable Manifolds for Whiskered Tori in Coupled Map Lattices with Decaying InteractionJul 09 2013In this paper we consider lattice systems coupled by local interactions. We prove invariant manifold theorems for whiskered tori (we recall that whiskered tori are quasi-periodic solutions with exponentially contracting and expanding directions in the ... More

Major arcs and moments of arithmetical sequencesNov 24 2016We give estimates for the first two moments of arithmetical sequences in progressions. Instead of using the standard approximation, we work with a generalization of Vaughan's major arcs approximation which is similar to that appearing in earlier work ... More

Variety of Hom-Sabinin algebras and related algebra subclassesDec 14 2015The purpose of this paper is to study Sabinin algebras of Hom-type. It is shown that Lie, Malcev, Bol and other algebras of Hom-type are naturally Sabinin algebras of Hom-type. To this end, we provide a general key construction that establish a relationship ... More

Breakdown of Effective Field Theory for a Gluon Initiated ResonanceJul 14 2016Aug 02 2016Gauge invariance dictates that a resonance produced from initial state gluons must be produced through a non-renormalizable operator or a loop process. Should such a resonance be discovered, uncovering the dynamics that give rise to its couplings to gluons ... More

On Levi extensions of nilpotent Lie algebrasFeb 18 2013Levi's theorem decomposes any arbitrary Lie algebra over a field of characteristic zero, as a direct sum of a semisimple Lie algebra (named Levi factor) and its solvable radical. Given a solvable Lie algebra $R$, a semisimple Lie algebra $S$ is said to ... More

A note on extensions of nilpotent algebras of Type 2Jul 31 2013We propose the study and description of the structure of complex Lie algebras with nilradical a nilpotent Lie algebra of type 2 by using sl2(C)-representation theory. Our results will be applied to review the classification given in [1] (J. Geometry and ... More

Entiers friables dans des progressions arithmétiques de grand moduleJun 10 2015We study the average error term in the usual approximation to the number of $y$-friable integers congruent to $a$ modulo $q$, where $a\neq 0$ is a fixed integer. We show that in the range $\exp\{(\log\log x)^{5/3+\varepsilon}\} \leq y \leq x$ and on average ... More

Genetic Algorithms for Digital Quantum SimulationsDec 02 2015Jun 21 2016We propose genetic algorithms, which are robust optimization techniques inspired by natural selection, to enhance the versatility of digital quantum simulations. In this sense, we show that genetic algorithms can be employed to increase the fidelity and ... More

Scaling up Heuristic Planning with Relational Decision TreesJan 16 2014Current evaluation functions for heuristic planning are expensive to compute. In numerous planning problems these functions provide good guidance to the solution, so they are worth the expense. However, when evaluation functions are misguiding or when ... More

Free nilpotent and nilpotent quadratic Lie algebrasApr 11 2016In this paper we introduce an equivalence between the category of the t-nilpotent quadratic Lie algebras with d generators and the category of some symmetric invariant bilinear forms on the t-nilpotent free Lie algebra with d generators. Taking into account ... More

Free nilpotent and nilpotent quadratic Lie algebrasApr 11 2016Jan 12 2017In this paper we introduce an equivalence between the category of the t-nilpotent quadratic Lie algebras with d generators and the category of some symmetric invariant bilinear forms on the t-nilpotent free Lie algebra with d generators. Taking into account ... More

Probing the role of excited states in ionization of acetyleneMar 16 2017Apr 21 2017Ionization of acetylene by linearly-polarized, vacuum ultraviolet (VUV) laser pulses is modelled using time-dependent density functional theory. Several laser wavelengths are considered including one that produces direct ionization to the first excited ... More

Estructuras de grupo topológico en (Z,+)Mar 12 2016In this work we have considered the complexity of the different structures as topological group on Z. We collect some new results, as well as some known results on the group of the integers in order to present: -A family of $2^\cont$ precompact Hausdorff. ... More

Digital Quantum Simulation of Spin Systems in Superconducting CircuitsNov 29 2013May 12 2014We propose the implementation of a digital quantum simulator for prototypical spin models in a circuit quantum electrodynamics architecture. We consider the feasibility of the quantum simulation of Heisenberg and frustrated Ising models in transmon qubits ... More

On global aspects of duality invariant theories: M2-brane vs DFTMay 31 2017Supermembrane compactified on a $M_9\times T^2$ target space is globally described by the inequivalent classes of torus bundles over torus. These torus bundles have monodromy in $SL(2,Z)$ when they correspond to the nontrivial central charge sector and ... More

Quantum Estimation Methods for Quantum IlluminationJun 21 2016Feb 27 2017Quantum illumination consists in shining quantum light on a target region immersed in a bright thermal bath, with the aim of detecting the presence of a possible low-reflective object. If the signal is entangled with the receiver, then a suitable choice ... More

Quantum chemistry and charge transport in biomolecules with superconducting circuitsNov 30 2015Jun 22 2016We propose an efficient protocol for digital quantum simulation of quantum chemistry problems and enhanced digital-analog quantum simulation of transport phenomena in biomolecules with superconducting circuits. Along these lines, we optimally digitize ... More

Mass operator of the M2-brane on a background with constant three-formMay 20 2019The formulation of supermembrane theory on nontrivial backgrounds is discussed. In particular, we obtain the Hamiltonian of the supermembrane on a background with constant bosonic three form on a target space $M_9 \times T^2$.

Quantum Simulation of Spin Chains Coupled to Bosonic Modes with Superconducting CircuitsJul 09 2015Oct 01 2015We propose the implementation of a digital quantum simulation of spin chains coupled to bosonic field modes in superconducting circuits. Gates with high fidelities allows one to simulate a variety of Ising magnetic pairing interactions with transverse ... More

Supermembrane theory on a curved constant backgroundNov 27 2018Feb 04 2019In this work we obtain the Hamiltonian description of the Supermembrane theory formulated in the Light Cone Gauge (L.C.G.) on $M_9\times T^2$ background with constant bosonic three-forms $C_{\pm ab}$. We analyze three different cases depending on the ... More

Digital Quantum Rabi and Dicke Models in Superconducting CircuitsMay 22 2014Dec 15 2014We propose the analog-digital quantum simulation of the quantum Rabi and Dicke models using circuit quantum electrodynamics (QED). We find that all physical regimes, in particular those which are impossible to realize in typical cavity QED setups, can ... More

Quantum Estimation Methods for Quantum IlluminationJun 21 2016Quantum illumination consists in shining with quantum light on a target region immersed in a bright thermal bath with the aim of detecting the presence of a possible low-reflective object. If the signal is entangled with the receiver, then a suitable ... More

Quantum Illumination Unveils CloakingNov 30 2016In quantum illumination entangled light is employed to enhance the detection accuracy of an object when compared with the best classical protocol. On the other hand, cloaking is a stealth technology based on covering a target with a material deflecting ... More

Fermionic Models with Superconducting CircuitsNov 10 2014Mar 31 2015We propose a method for the efficient quantum simulation of fermionic systems with superconducting circuits. It consists in the suitable use of Jordan-Wigner mapping, Trotter decomposition, and multiqubit gates, be with the use of a quantum bus or direct ... More

M2-branes on a constant flux backgroundNov 27 2018Jun 21 2019We describe a compactified Supermembrane, or M2-brane, with 2-form fluxes generated by constant three-forms that are turned on a 2-torus of the target space $M_9\times T^2$. We compare this theory with the one describing a $11D$ M2-brane formulated on ... More

"Varopoulos paradigm": Mackey property vs. metrizability in topological groupsMar 12 2016The class of all locally quasi-convex (lqc) abelian groups contains all locally convex vector spaces (lcs) considered as topological groups. Therefore it is natural to extend classical properties of locally convex spaces to this larger class of abelian ... More

Randomness in post-selected eventsJun 12 2015Mar 08 2016Bell inequality violations can be used to certify private randomness for use in cryptographic applications. In photonic Bell experiments, a large amount of the data that is generated comes from no-detection events and presumably contains little randomness. ... More

Position Paper: From Multi-Agent Pathfinding to Pipe RoutingMay 21 2019The 2D Multi-Agent Path Finding (MAPF) problem aims at finding collision-free paths for a number of agents, from a set of start locations to a set of goal positions in a known 2D environment. MAPF has been studied in theoretical computer science, robotics, ... More

Longitudinal associations between learning assistants and instructor effectivenessNov 15 2017A central goal of the Learning Assistant (LA) model is to improve students' learning of science through the transformation of instructor practices. There is minimal existing research on the impact of college physics instructor experiences on their effectiveness. ... More

Derivation of vector-valued complex interpolation scalesAug 09 2018We study complex interpolation scales obtained by vector valued amalgamation and the derivations they generate. We study their trivial and singular character and obtain examples showing that the hypotheses in the main theorems of [J.M.F. Castillo, V. ... More

The BiPublishers ranking: Main results and methodological problems when constructing rankings of academic publishersMay 05 2015May 19 2015We present the results of the Bibliometric Indicators for Publishers project (also known as BiPublishers). This project represents the first attempt to systematically develop bibliometric publisher rankings. The data for this project was derived from ... More

Quadratic 2-step Lie algebras: Computational algorithms and classificationMar 02 2018Taking into account the theoretical results and guidelines given inthis work, we introduce a computational method to construct any 2 step nilpotent quadratic algebra of d generators. Along the work we show that the key of the classification of this class ... More

BirdNet: a 3D Object Detection Framework from LiDAR informationMay 03 2018Understanding driving situations regardless the conditions of the traffic scene is a cornerstone on the path towards autonomous vehicles; however, despite common sensor setups already include complementary devices such as LiDAR or radar, most of the research ... More

Approximate solutions by truncated Taylor series expansions of nonlinear differential equations and the related shadowing propertySep 30 2013This paper investigates the errors of the solutions as well as the shadowing property of a class of nonlinear differential equations which possess unique solutions on a certain interval for any admissible initial conditions. The class of differential ... More

Preliminaries on best proximity points in cyclic multivalued mappingsAug 12 2012This paper investigates the fixed points and best proximity points of multivalued cyclic self-mappings in metric spaces under a generalized contractive condition involving Hausdorff distances.

About Adaptive Singular Systems with External DelayApr 04 2008This paper is mainly concerned with the robustly stable adaptive control of single-input single-output impulse-free linear time-invariant singular dynamic systems of known order and unknown parameterizations subject to single external point delays. The ... More

On Chebyshev systems and non-uniform sampling related to controllability and observability of caputo fractional differential systemsOct 01 2010This paper is concerned with the investigation of the controllability and observability of Caputo fractional differential linear systems of any real order {\alpha} . Expressions for the expansions of the evolution operators in powers of the matrix of ... More

Some Results on the Solutions of Caputo Fractional Linear Time-Invariant Systems of any order with Internal Point DelaysSep 22 2010This paper is devoted to the investigation of the nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic systems involving delayed dynamics with point delays. The obtained results are independent ... More

Time as a dynamical variable in quantum decayJun 21 2013We present a theoretical analysis of quantum decay in which the survival probability is replaced by a decay rate that is equal to the absolute value squared of the wave function in the time representation. The wave function in the time representation ... More

The decay widths, the decay constants, and the branching fractions of a resonant stateMay 26 2015We introduce the differential and the total decay widths of a resonant (Gamow) state decaying into a continuum of stable states. When the resonance has several decay modes, we introduce the corresponding partial decay widths and branching fractions. In ... More

Vanishing of the Cosmological Constant, Stability of the Dilaton and InflationJan 10 1995We study the possibility of canceling the cosmological constant in supergravity string models. We show that with a suitable choice of superpotential the vacuum energy may vanish with the dilaton field at its minimum and supersymmetry broken with a large ... More

Interacting Dark Energy: Decay into FermionsFeb 08 2007A dark energy component is responsible for the present stage of acceleration of our universe. If no fine tuning is assumed on the dark energy potential then it will end up dominating the universe at late times and the universe will not stop this stage ... More

On norms taking integer values on the integer latticeApr 06 2016We present a new proof of Thurston's theorem that the unit ball of a seminorm on $\mathbf{R}^d$ taking integer values on $\mathbf{Z}^d$ is a polyhedra defined by finitely many inequalities with integer coefficients.

The Chromospheric Solar Limb Brightening at Radio, Millimeter, Sub-millimeter, and Infrared WavelengthsMay 04 2016Observations of the emission at radio, millimeter, sub-millimeter, and infrared wavelengths in the center of the solar disk validate the auto-consistence of semi-empirical models of the chromosphere. Theoretically, these models must reproduce the emission ... More

Homogeneity properties in large compact S-spacesAug 24 2004Under Jensen's Diamond Principle, we show how to construct a large compact S-space while having some control over its group of autohomeomorphisms. In particular we can make the space rigid or h-homogeneous (i.e. any two clopen subsets are homeomorphic). ... More