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Rotating black holes in the FI-gauged $N=2$, $D=4$ $\overline{\mathbb{C}\text{P}}^n$ modelFeb 08 2019Mar 25 2019We construct supersymmetric black holes with rotation or NUT charge for the $\overline{\mathbb{C}\text{P}}^n$- and the $\text{t}^3$ model of $N=2$, $D=4$ $\text{U}(1)$ FI-gauged supergravity. The solutions preserve 2 real supercharges, which are doubled ... More

New examples of ballistic RWRE in the low disorder regimeAug 04 2018We give a new criterion for ballistic behavior of random walks in random environments which are low disorder perturbations of the simple symmetric random walk on $\mathbb{Z}^d$, for $d\geq 2$. This extends the results established by Sznitman in 2003 and, ... More

Asymptotic direction for random walks in mixing random environmentsOct 16 2016We prove that every random walk in a uniformly elliptic random environment satisfying the cone mixing condition and a non-effective polynomial ballisticity condition with high enough degree has an asymptotic direction.

New high-dimensional examples of ballistic random walks in random environmentFeb 24 2019Jul 11 2019We give new criteria for ballistic behavior of random walks in random environment which are perturbations of the simple symmetric random walk on $\mathbb Z^d$ in dimensions $d\ge 4$. Our results extend those of Sznitman [Ann. Probab. 31, no. 1, 285-322 ... More

Selected Topics in Random Walk in Random EnvironmentSep 10 2013Random walk in random environment (RWRE) is a fundamental model of statistical mechanics, describing the movement of a particle in a highly disordered and inhomogeneous medium as a random walk with random jump probabilities. It has been introduced in ... More

A proof of Sznitman's conjecture about ballistic RWRESep 06 2018Oct 08 2018We consider a random walk in a uniformly elliptic i.i.d. random environment in $\mathbb Z^d$ for $d\ge 2$. It is believed that whenever the random walk is transient in a given direction it is necessarily ballistic. In order to quantify the gap which would ... More

Adaptive Market Efficiency of Agricultural Commodity Futures ContractsDec 27 2014Mar 31 2015In this paper we investigate the adaptive market efficiency of the agricultural commodity futures market, using a sample of eight futures contracts. Using a battery of nonlinear tests, we uncover the nonlinear serial dependence in the returns series. ... More

On the Utility of the Inverse Gamma Distribution in Modeling Composite Fading ChannelsApr 30 2019We introduce a general approach to characterize composite fading models based on inverse gamma (IG) shadowing. We first determine to what extent the IG distribution is an adequate choice for modeling shadow fading, by means of a comprehensive test with ... More

Quench dynamics and defects formation in the Ising chain in a transverse magnetic fieldDec 31 2018We study analytically and numerically quench dynamics and defects formation in the quantum Ising model in the presence of a time-dependent transverse magnetic field. We generalize the Landau-Ziner formula to the case of non-adiabatic evolution of the ... More

Effective Polynomial Ballisticity Condition for Random Walk in Random EnvironmentJun 27 2012Feb 14 2013The conditions $(T)_\gamma,$ $\gamma \in (0,1),$ which have been introduced by Sznitman in 2002, have had a significant impact on research in random walk in random environment. Among others, these conditions entail a ballistic behaviour as well as an ... More

Complete Kneser TransversalsNov 04 2015Aug 12 2016Let $k,d,\lambda\geqslant1$ be integers with $d\geqslant\lambda $. Let $m(k,d,\lambda)$ be the maximum positive integer $n$ such that every set of $n$ points (not necessarily in general position) in $\mathbb{R}^{d}$ has the property that the convex hulls ... More

Codimension two and three Kneser TransversalsJan 04 2016Nov 15 2017Let $k,d,\lambda \geqslant 1$ be integers with $d\geqslant \lambda $ and let $X$ be a finite set of points in $\mathbb{R}^{d}$. A $(d-\lambda)$-plane $L$ transversal to the convex hulls of all $k$-sets of $X$ is called Kneser transversal. If in addition ... More

The Conformal Stealth of any Standard CosmologyJul 24 2013Sep 14 2013It is shown that any homogeneous and isotropic universe, independently of its spatial topology and matter content, allows for the presence of a conformal stealth, i.e. a nontrivial conformally invariant scalar field with vanishing energy-momentum tensor, ... More

Analytical treatment of the structure and thermodynamics of the square-well fluidJun 10 2019The main goal of this work is to accurately reproduce the structural properties of attractive systems modelled by hard-sphere plus square-well (HS+SW) interaction potential. Based on the optimized random phase approximation (ORPA), the attractive part ... More

Stable limit laws and structure of the scaling function for reaction-diffusion in random environmentJun 20 2017We prove the emergence of stable fluctuations for reaction-diffusion in random environment with Weibull tails. This completes our work around the quenched to annealed transition phenomenon in this context of reaction diffusion. In [9], we had already ... More

A $(p,q)$-Analogue of Poly-Euler Polynomials and Some Related PolynomialsApr 13 2016In the present article, we introduce a $(p,q)$-analogue of the poly-Euler polynomials and numbers by using the $(p,q)$-polylogarithm function. These new sequences are generalizations of the poly-Euler numbers and polynomials. We give several combinatorial ... More

Dynamical model of the kinesin protein motorApr 29 2016We model and simulate the stepping dynamics of the kinesin motor including electric and mechanical forces, environmental noise, and the complicated potentials produced by tracking and neighboring protofilaments. Our dynamical model supports the hand-over-hand ... More

Velocity estimates for symmetric random walks at low ballistic disorderJan 23 2017We derive asymptotic estimates for the velocity of random walks in random environments which are perturbations of the simple symmetric random walk but have a small local drift in a given direction. Our estimates complement previous results presented by ... More

Corrigendum to: Oscillatory motions in restricted $N$-body problems [J. Differential Equations 265 (2018) 779-803]May 10 2019We consider the planar restricted $N$-body problem where the $N-1$ primaries are assumed to be in a central configuration whereas the infinitesimal particle escapes to infinity in a parabolic orbit. We prove the existence of transversal intersections ... More

Deep Learning for Spacecraft Pose Estimation from Photorealistic RenderingJul 09 2019On-orbit proximity operations in space rendezvous, docking and debris removal require precise and robust 6D pose estimation under a wide range of lighting conditions and against highly textured background, i.e., the Earth. This paper investigates leveraging ... More

Exact charges from heterotic black holesJun 28 2019We derive exact relations to all orders in the $\alpha'$ expansion for the charges of a bound system of heterotic strings, solitonic 5-branes and, optionally, a Kaluza-Klein monopole. The expressions, which differ from those of the zeroth-order supergravity ... More

A family of quadratic polynomial differential systems with algebraic solutions of arbitrary high degreeMay 09 2014We show that the algebraic curve $a_0(x)(y-r(x))+p_2(x)a'(x)=0,$ where $r(x)$ and $p_2(x)$ are polynomial of degree 1 and 2 respectively and $a_0(x)$ is a polynomial solution of the convenient Fucsh's equation, is an invariant curve of the quadratic planar ... More

Green's Functions of Partial Differential Equations with InvolutionsJul 01 2017Jul 04 2017In this paper we develop a way of obtaining Green's functions for partial differential equations with linear involutions by reducing the equation to a higher-order PDE without involutions. The developed theory is applied to a model of heat transfer in ... More

Closed timelike curves in superfluid $^{3}$HeSep 09 1998It is shown that the curved spacetime induced in a thin film of superfluid $^{3}$He-A by the presence of symmetric vortices with the unbroken symmetry phase, admits the existence of closed timelike curves through which only superfluid clusters formed ... More

Integral Deligne Cohomology for Real VarietiesOct 13 2008We develop an integral version of Deligne cohomology for smooth proper real varieties. For this purpose the role played by singular cohomology in the complex case has to be replaced by ordinary bigraded G-equivariant cohomology, where G=Gal(C/R). This ... More

A Semi-Supervised Self-Organizing Map for Clustering and ClassificationJul 01 2019There has been an increasing interest in semi-supervised learning in the recent years because of the great number of datasets with a large number of unlabeled data but only a few labeled samples. Semi-supervised learning algorithms can work with both ... More

A Pub/Sub SDN-Integrated Framework for IoT Traffic OrchestrationJul 20 2019The Internet of Things (IoT) is advancing and the adoption of internet-connected devices in everyday use is constantly growing. This increase not only affects the traffic from other sources in the network, but also the communication quality requirements, ... More

A Semi-Supervised Self-Organizing Map with Adaptive Local ThresholdsJul 01 2019In the recent years, there is a growing interest in semi-supervised learning, since, in many learning tasks, there is a plentiful supply of unlabeled data, but insufficient labeled ones. Hence, Semi-Supervised learning models can benefit from both types ... More

Noncanonical Approaches To InflationJun 21 2019In this Thesis by publication, we cover both phenomenological and theoretical approaches to the study of inflation: from model-independent parametrizations to modifications of gravity. In a review style, we provide a short introduction to the standard ... More

Simple visit behavior unifies complex Zika outbreaksAug 11 2016Jun 28 2017We analyze the paper of Nathan D. Grubaugh et al. (Nature 546, 401-405, 2017) and find that it does not offer a convincing quantitative explanation for what generated the temporal distribution of human Zika virus (ZIKV) cases shown in their paper (Fig. ... More

Extended No-Scale Structure and $α^{'2}$ Corrections to the Type IIB ActionJun 05 2013We analyse a new ${\cal N}=1$ string tree level correction at ${\cal O}(\alpha'^2)$ to the K\"ahler potential of the volume moduli of type IIB Calabi-Yau flux compactification found recently by Grimm, Savelli and Weissenbacher~\cite{Grimm:2013gma} and ... More

Self-consistent generalized Langevin equation theory of the dynamics of multicomponent atomic liquidsFeb 01 2017A fundamental challenge of the theory of liquids is to understand the similarities and differences in the macroscopic dynamics of both colloidal and atomic liquids, which originate in the (Newtonian or Brownian) nature of the microscopic motion of their ... More

A New Approach to the Statistical Analysis of Non-Central Complex Gaussian Quadratic Forms with ApplicationsMay 23 2018Jun 15 2018This paper proposes a novel approach to the statistical characterization of non-central complex Gaussian quadratic forms (CGQFs). Its key strategy is the generation of an auxiliary random variable (RV) that converges in distribution to the original CGQF. ... More

Nonlinear Dynamics of Dipoles in Microtubules: Pseudo-Spin ModelApr 20 2016We perform a theoretical study of the dynamics of the electric field excitations in a microtubule by taking into consideration the realistic cylindrical geometry, dipole-dipole interactions of the tubulin-based protein heterodimers, the radial electric ... More

A 700-seat no-loss composition for the 2019 European ParliamentSep 23 2017The following paper is part of the authors' response to an invitation from the Constitutional Affairs Committee (AFCO) of the European Parliament to advise on mathematical methods for the allocation of Parliamentary seats between the 27 Member States ... More

Chemical (in)homogeneity and atomic diffusion in the open cluster M67Feb 28 2019Jun 06 2019Context. The benchmark open cluster M67 is known to have solar metallicity and similar age as the Sun. It thus provides us a great opportunity to study the properties of solar twins, as well as the evolution of Sun-like stars. Aims. Previous spectroscopic ... More

Evolution Strategies in Optimization ProblemsSep 07 2007Evolution Strategies are inspired in biology and part of a larger research field known as Evolutionary Algorithms. Those strategies perform a random search in the space of admissible functions, aiming to optimize some given objective function. We show ... More

Rotating black holes in the FI-gauged $N=2$, $D=4$ $\overline{\mathbb{C}\text{P}}^n$ modelFeb 08 2019We construct supersymmetric black holes with rotation or NUT charge for the $\overline{\mathbb{C}\text{P}}^n$- and the $\text{t}^3$ model of $N=2$, $D=4$ $\text{U}(1)$ FI-gauged supergravity. The solutions preserve 2 real supercharges, which are doubled ... More

Lax Equations, Singularities and Riemann-Hilbert ProblemsOct 14 2010The existence of singularities of the solution for a class of Lax equations is investigated using a development of the fac- torization method first proposed by Semenov-Tian-Shansky and Reymann [11], [9]. It is shown that the existence of a singularity ... More

Detailed chemical compositions of the wide binary HD 80606/80607: revised stellar properties and constraints on planet formationFeb 26 2018Feb 28 2018Differences in the elemental abundances of planet hosting stars in binary systems can give important clues and constraints about planet formation and evolution. In this study we performed a high-precision, differential elemental abundance analysis of ... More

Supersymmetric Extension of the Quantum Spherical ModelMar 22 2012Jun 09 2012In this work, we present a supersymmetric extension of the quantum spherical model, both in components and also in the superspace formalisms. We find the solution for short/long range interactions through the imaginary time formalism path integral approach. ... More

Unified dark energy thermodynamics: varying w and the -1-crossingJan 09 2009Aug 03 2009We investigate, in a unified and general way, the thermodynamic properties of dark energy with an arbitrary, varying equation-of-state parameter w(a). We find that all quantities are well defined and regular for every w(a), including at the -1-crossing, ... More

Resolving the atmospheric octant by an improved measurement of the reactor angleMar 09 2017Jun 28 2017Taking into account the current global information on neutrino oscillation parameters we forecast the capabilities of future long baseline experiments such as DUNE and T2HK in settling the atmospheric octant puzzle. We find that a good measurement of ... More

Generalized Gelation Theory describes Human Online Aggregation in support of ExtremismDec 16 2017Though many aggregation theories exist for physical, chemical and biological systems, they do not account for the significant heterogeneity found, for example, in populations of living objects. This is unfortunate since understanding how heterogeneous ... More

Competing interactions and the Lifshitz-type Nonlinear Sigma ModelMay 16 2013Aug 01 2013We establish the equivalence between the continuum limit of the quantum spherical model with competing interactions, which is relevant to the investigation of Lifshitz points, and the O(N) nonlinear sigma model with the addition of higher order spatial ... More

Stochastic Quantization of the Spherical Model and SupersymmetryNov 21 2012Sep 20 2013We use the stochastic quantization method to construct a supersymmetric version of the quantum spherical model. This is based on the equivalence between the Brownian motion described by a Langevin equation and the supersymmetric quantum mechanics, which ... More

$α'$-corrected black holes in String TheoryMar 05 2018May 11 2018We consider the well-known solution of the Heterotic Superstring effective action to zeroth order in $\alpha'$ that describes the intersection of a fundamental string with momentum and a solitonic 5-brane and which gives a 3-charge, static, extremal, ... More

Probing atmospheric mixing and leptonic CP violation in current and future long baseline oscillation experimentsFeb 10 2017Sep 26 2017We perform realistic simulations of the current and future long baseline experiments such as T2K, NO$\nu$A, DUNE and T2HK in order to determine their ultimate potential in probing neutrino oscillation parameters. We quantify the potential of these experiments ... More

The small black hole illusionAug 30 2018Jun 19 2019Small black holes in string theory are characterized by a classically singular horizon with vanishing Bekenstein-Hawking entropy. It has been argued that higher-curvature corrections resolve the horizon and that the associated Wald entropy is in agreement ... More

Regulator Maps for Higher Chow Groups via Current TransformsMar 27 2019We show how to use equidimensional algebraic correspondences between complex algebraic varieties to construct pull-backs and transforms of certain classes of geometric currents. Using this construction we produce explicit formulas at the level of complexes ... More

Joint Learning of Named Entity Recognition and Entity LinkingJul 18 2019Named entity recognition (NER) and entity linking (EL) are two fundamentally related tasks, since in order to perform EL, first the mentions to entities have to be detected. However, most entity linking approaches disregard the mention detection part, ... More

Cytoskeletal turnover and Myosin contractility drive cell autonomous oscillations in a model of Drosophila Dorsal ClosureFeb 21 2014Mar 13 2014Oscillatory behaviour in force-generating systems is a pervasive phenomenon in cell biology. In this work, we investigate how oscillations in the actomyosin cytoskeleton drive cell shape changes during the process of Dorsal Closure, a morphogenetic event ... More

Internal character dictates phase transition dynamics between isolation and cohesive groupingJun 21 2015We show that accounting for internal character among interacting, heterogeneous entities generates rich phase transition behavior between isolation and cohesive dynamical grouping. Our analytical and numerical calculations reveal different critical points ... More

Non-equilibrium quantum systems: Divergence between global and local descriptionsOct 29 2014Feb 24 2015Even photosynthesis -- the most basic natural phenomenon underlying Life on Earth -- involves the non-trivial processing of excitations at the pico- and femtosecond scales during light-harvesting. The desire to understand such natural phenomena, as well ... More

Revisiting Complex Moments For 2D Shape Representation and Image NormalizationOct 18 2010When comparing 2D shapes, a key issue is their normalization. Translation and scale are easily taken care of by removing the mean and normalizing the energy. However, defining and computing the orientation of a 2D shape is not so simple. In fact, although ... More

A numerical approach for solving fractional optimal control problems using modified hat functionsMay 16 2019We introduce a numerical method, based on modified hat functions, for solving a class of fractional optimal control problems. In our scheme, the control and the fractional derivative of the state function are considered as linear combinations of the modified ... More

Various aspects of differential equations having a complete set of independent first integralsJun 13 2011In this paper we study the differential equations in $D\subseteq \R^{2N}$ having a complete set of independent first integrals. In particular we study the case when the first integrals are \[f_\nu=(Ax_\nu+By_\nu)^2+\displaystyle\sum_{j=1}^{N}\dfrac{(x_\nu ... More

The Pascal Rhombus and the Generalized Grand Motzkin PathsNov 14 2015May 04 2016In the present article, we find a closed expression for the entries of the Pascal rhombus. Moreover, we show a relation between the entries of the Pascal rhombus and a family of generalized grand Motzkin paths.

Refining the partition for multifold conic optimization problemsApr 02 2018In this paper we give a unified treatment to different definitions of complementarity partition for a primal-dual pair of linear conic optimization problem.

Stratifications of tangent cones in real closed (valued) fieldsSep 10 2015We introduce tangent cones of subsets of cartesian powers of a real closed field, generalising the notion of the classical tangent cones of subsets of Euclidean space. We then study the impact of non-archimedean stratifications (t-stratifications) on ... More

An Information Theoretic Feature Selection Framework for Big Data under Apache SparkOct 13 2016With the advent of extremely high dimensional datasets, dimensionality reduction techniques are becoming mandatory. Among many techniques, feature selection has been growing in interest as an important tool to identify relevant features on huge datasets ... More

On K3 fibrations: towards mirror symmetryMar 07 2013Given X a K3 surface, a mirror dual to X can be identified with a component of the moduli space of semistable sheaves on X. We consider fibrations by K3 surfaces over a one dimensional base that are Calabi-Yau and we charaterize the dual fibration that ... More

Non-archimedean stratifications in power bounded $T$-convex fieldsApr 21 2017We show that functions definable in power bounded $T$-convex fields have the (multidimensional) Jacobian property. Building on work of I. Halupczok, this implies that a certain notion of non-archimedean stratifications is available in such valued fields. ... More

Cayley graphs and Veech groups of infinite-genus surfacesMay 06 2019We build for each countable and finitely generated subgroup $G<GL(2,\mathbb{R})$ without contracting elements a tame translation surface $S$ having Veech group $G$ and infinite genus. Moreover, the topological ends of $S$ can be represented in the form ... More

Fixed-density boundary conditions in overdamped Langevin simulations of diffusion in channelsApr 18 2018Jun 12 2018We consider the numerical integration of Langevin equations for particles in a channel, in the presence of boundary conditions fixing the concentration values at the ends. This kind of boundary condition appears for instance when considering the diffusion ... More

Kinematics from spectral lines for AGN outflows based on time-independent radiation-driven wind theoryAug 08 2011Aug 29 2011We build a bulk velocity-dependent photoionization model of the warm absorber of the Seyfert 1 galaxy NGC 3783. By adopting functional forms for velocity of the flow and its particle density with radius, appropriate for radiation driven winds, we compute ... More

Cartesian approach for constrained mechanical systemsNov 14 2010In the history of mechanics, there have been two points of view for studying mechanical systems: Newtonian and Cartesian. According the Descartes point of view, the motion of mechanical systems is described by the first-order differential equations in ... More

On the multipliers at fixed points of self-maps of the projective planeFeb 09 2019Feb 15 2019This paper deals with holomorphic self-maps of the complex projective plane and the algebraic relations among the eigenvalues of the derivatives at the fixed points. These eigenvalues are constrained by certain index theorems such as the holomorphic Lefschetz ... More

Spectra of quadratic vector fields on $\mathbb{C}^2$: The missing relationMay 17 2017Apr 03 2018Consider a quadratic vector field on $\mathbb{C}^2$ having an invariant line at infinity and isolated singularities only. We define the extended spectra of singularities to be the collection of the spectra of the linearization matrices of each of the ... More

The fractional in time Schrödinger equation with a Hartree perturbationJul 05 2019The aim of this work is to show existence, uniqueness and regularity properties of nonlinear fractional Schr\"{o}dinger equation with fractional time derivative of order $\alpha\in (0,1)$ and with a Hartree-type nonlinear term.

Groups Obtained from $2-(n,4,3)$ Supersimple DesignsJun 18 2019We contribute towards the classification programme for Conway groupoids associated to a $2-(n,4,\lambda)$ design. Our main results improve the known bounds for a hole stabilizer to be primitive, or to contain the alternating group, ${\rm Alt}(n-1)$. We ... More

On Convolved Generalized Fibonacci and Lucas PolynomialsAug 17 2013We define the convolved h(x)-Fibonacci polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the h(x)-Fibonacci and h(x)-Lucas polynomials. Moreover we obtain the convolved h(x)-Fibonacci ... More

Doppler-free saturation of the cascade fluorescence that follows excitation of the $5s \to 6p $ transition in atomic rubidiumJun 17 2019We present an experimental scheme that produces Doppler-free spectra of the $5s \to 6p $ second resonance transition in atomic rubidium. The experiment uses the saturation of the cascade fluorescence that occurs when thermal rubidium atoms interact with ... More

A non-classical class of variational problemsNov 02 2009We study a new non-classical class of variational problems that is motivated by some recent research on the non-linear revenue problem in the field of economics. This class of problem can be set up as a maximising problem in the Calculus of Variations ... More

A Discrete Algorithm to the Calculus of VariationsMar 03 2010A numerical study of an algorithm proposed by Gusein Guseinov, which determines approximations to the optimal solution of problems of calculus of variations using two discretizations and correspondent Euler-Lagrange equations, is investigated. The results ... More

D-ADMM: A Communication-Efficient Distributed Algorithm For Separable OptimizationFeb 13 2012Apr 22 2013We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there is a private ... More

MOEA/D with Uniformly Randomly Adaptive WeightsAug 15 2019When working with decomposition-based algorithms, an appropriate set of weights might improve quality of the final solution. A set of uniformly distributed weights usually leads to well-distributed solutions on a Pareto front. However, there are two main ... More

Magnetic fields and differential rotation on the pre-main sequence III: The early-G star HD 106506Feb 17 2011We present photometry and spectropolarimetry of the pre-main sequence star HD 106506. A photometric rotational period of ~1.416 +/- 0.133 days has been derived using observations at Mount Kent Observatory (MKO). Spectropolarimetric data taken at the 3.9-m ... More

Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher ordersApr 17 2019We present the first comprehensive analysis of the unitarity thresholds and anomalous thresholds of scattering amplitudes at two loops and beyond based on the loop-tree duality, and show how non-causal unphysical thresholds are locally cancelled in an ... More

Applications in Enumerative Combinatorics of Infinite Weighted Automata and GraphsOct 09 2013Dec 25 2013In this paper we studied infinite weighted automata and a general methodology to solve a wide variety of classical lattice path counting problems in an uniform way. This counting problems are related to Dyck paths, Motzkin paths and some generalizations. ... More

Genus fields of global fieldsJan 22 2019In this paper we obtain the extended genus field of a global field. First we define the extended genus field of a global function field and we obtain, via class field theory, the description of the extended genus field of an arbitrary global function ... More

AGC, t-designs and partition setsJun 19 2017AG codes correspond geometrically to points in the Grassmannian of k-planes in an n-dimensional projective space PG(n, F_q) defined over a finite field F_q of q elements. We prove that invariant subgrassmannians by the action of a triangle group hold ... More

Gelfand-Tsetlin modules over $\mathfrak{gl}(n,\mathbb C)$ with arbitrary charactersMay 30 2017Jul 26 2017A Gelfand-Tsetlin tableau $T(v)$ induces a character $\chi_v$ of the Gelfand-Tsetlin subalgebra $\Gamma$ of $U = U(\mathfrak{gl}(n,\mathbb C))$. By a theorem due to Ovsienko, for each tableau $T(v)$ there exists a finite number of nonisomorphic irreducible ... More

The smallest regulator for number fields of degree 7 with five real placesOct 08 2018In 2016 Astudillo, Diaz y Diaz and Friedman published sharp lower bounds for regulators of number fields of all signatures up to degree seven, except for fields of degree seven having five real places. We deal with this signature, proving that the field ... More

Some Applications of $S$-restricted Set PartitionsApr 11 2018In the paper, the authors present several new relations and applications for the combinatorial sequence that counts the possible partitions of a finite set with the restriction that the size of each block is contained in a given set. One of the main applications ... More

FRW in cosmological self-creation theoryJun 23 2012May 07 2013We use the Brans-Dicke theory from the framework of General Relativity (Einstein frame), but now the total energy momentum tensor fulfills the following condition $\rm <[\{1}{\phi}T^{\mu \nu M}+T^{\mu \nu}(\phi)>]_{;\nu}=0$. We take as a first model the ... More

f(Lovelock) theories of gravityFeb 23 2016Apr 08 2016f(Lovelock) gravities are simple generalizations of the usual f(R) and Lovelock theories in which the gravitational action depends on some arbitrary function of the corresponding dimensionally-extended Euler densities. In this paper we study several aspects ... More

Atypical viral dynamics from transport through popular placesApr 26 2016Aug 06 2016The flux of visitors through popular places undoubtedly influences viral spreading -- from H1N1 and Zika viruses spreading through physical spaces such as airports, to rumors and ideas spreading though online spaces such as chatrooms and social media. ... More

Implications of the Small Spin Changes Measured for Large Jupiter-Family Comet NucleiJun 07 2018Rotational spin-up due to outgassing of comet nuclei has been identified as a possible mechanism for considerable mass-loss and splitting. We report a search for spin changes for three large Jupiter-family comets (JFCs): 14P/Wolf, 143P/Kowal-Mrkos, and ... More

Supersymmetric Quantum Spherical SpinsJun 14 2018Dec 20 2018In this work we investigate properties of a supersymmetric extension of the quantum spherical model from an off-shell formulation directly in the superspace. This is convenient to safely handle the constraint structure of the model in a way compatible ... More

Exploring the Potential of Short-Baseline Physics at FermilabFeb 06 2018May 30 2018We study the capabilities of the short baseline neutrino program at Fermilab to probe the unitarity of the lepton mixing matrix. We find the sensitivity to be slightly better than the current one. Motivated by the future DUNE experiment, we have also ... More

The Influence of Morphology on the Charge Transport in Two-Phase Disordered Organic SystemsJan 07 2015In this work we use a three-dimensional Pauli master equation to investigate the charge carrier mobility of a two-phase system, which can mimic donor-acceptor and amorphous- crystalline bulk heterojunctions. Our approach can be separated into two parts: ... More

Mixtape Application: Music Map Methodology and EvaluationMay 27 2016May 30 2016This report discusses dimensionality reduction techniques used to create a music map - a map where the distances between songs represent their similarity and that can be used to recommend songs. We evaluate two techniques: Isomap and L-Isomap.

Trajectory Generation using Sharpness Continuous Dubins-like Paths with Applications in Control of Heavy Duty VehiclesJan 26 2018May 07 2018We present a trajectory generation framework for control of wheeled vehicles under steering actuator constraints. The motivation is smooth autonomous driving of heavy vehicles. The key idea is to take into account rate, and additionally, torque limitations ... More

Beyond the near-horizon limit: Stringy corrections to Heterotic Black HolesAug 10 2018We study the first-order in $\alpha'$ corrections to 4-charge black holes (with the Reissner-Nordstr\"om black hole as a particular example) beyond the near-horizon limit in the Heterotic Superstring effective action framework. The higher-curvature terms ... More

Mixed-criticality Scheduling with Dynamic Redistribution of Shared CacheApr 28 2017The design of mixed-criticality systems often involvespainful tradeoffs between safety guarantees and performance.However, the use of more detailed architectural modelsin the design and analysis of scheduling arrangements for mixedcriticalitysystems can ... More

Neutron star masses in $R^{2}$-gravityJul 19 2019We address the issue of the existence of inequivalent definitions of gravitational mass in $R^{2}$-gravity. We present several definitions of gravitational mass, and discuss the formal relations between them. We then consider the concrete case of a static ... More

Computing Abstract Distances in Logic ProgramsJul 30 2019Abstract interpretation is a well-established technique for performing static analyses of logic programs. However, choosing the abstract domain, widening, fixpoint, etc. that provides the best precision-cost trade-off remains an open problem. This is ... More

GROUPS-NET: Group Meetings Aware Routing in Multi-Hop D2D NetworksMay 25 2016Aug 14 2017In the next generation cellular networks, device-to-device (D2D) communication is already considered a fundamental feature. A problem of multi-hop D2D networks is on how to define forwarding algorithms that achieve, at the same time, high delivery ratio ... More

Universal and Distinct Properties of Communication Dynamics: How to Generate Realistic Inter-event TimesMar 19 2014With the advancement of information systems, means of communications are becoming cheaper, faster and more available. Today, millions of people carrying smart-phones or tablets are able to communicate at practically any time and anywhere they want. Among ... More