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Aggregation equations with fractional diffusion: preventing concentration by mixingMar 16 2017We investigate a class of aggregation-diffusion equations with strongly singular kernels and weak (fractional) dissipation in the presence of an incompressible flow. Without the flow the equations are supercritical in the sense that the tendency to concentrate ... More

Asymptotics for vortex filaments using a modified Biot-Savart kernelMar 18 2019We consider a family of approximations to the Euler equations obtained by adding $(-\Delta)^{-\alpha/2}$ to the non-locality in the Biot-Savart kernel together with a mollification (with parameter $\varepsilon$). We consider the evolution of a thin vortex ... More

On the singularity formation and relaxation to equilibrium in 1D Fokker-Planck model with superlinear driftJan 30 2019Jun 18 2019We consider a class of Fokker-Planck equations with linear diffusion and superlinear drift enjoying a formal Wasserstein-like gradient flow structure with convex mobility function. In the drift-dominant regime, the equations have a finite critical mass ... More

Non-conservation of dimension in divergence-free solutions of passive and active scalar systemsMay 14 2019For any $h\in(1,2]$, we give an explicit construction of a compactly supported, uniformly continuous, and (weakly) divergence-free velocity field in $\mathbb{R}^2$ that weakly advects a measure whose support is initially the origin but for positive times ... 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

A Generalization of the Fibonacci Word Fractal and the Fibonacci SnowflakeDec 06 2012Feb 04 2014In this paper we introduce a family of infinite words that generalize the Fibonacci word and we study their combinatorial properties. Moreover, we associate to this family of words a family of curves, which have fractal properties, in particular these ... More

Anomalous transport induced by nonhyperbolicityJan 06 2012In this letter we study how deterministic features presented by a system can be used to perform direct transport in a {\it quasi}-symmetric potential and weak dissipative system. We show that the presence of nonhyperbolic regions around acceleration areas ... More

Topological Classification and Finite Determinacy of knotted mapsNov 02 2018We show that the knot type of the link of a real analytic map germ with isolated singularity $f\colon(\mathbb{R}^2,0)\to(\mathbb{R}^4,0)$ is a complete invariant for $C^0$-$\mathscr A$-equivalence. Moreover, we also prove that isolated instability implies ... More

ROLP: Runtime Object Lifetime Profiling for Big Data Memory ManagementMar 09 2018Low latency services such as credit-card fraud detection and website targeted advertisement rely on Big Data platforms (e.g., Lucene, Graphchi, Cassandra) which run on top of memory managed runtimes, such as the JVM. These platforms, however, suffer from ... More

Dealing in practice with hot-spotsOct 30 2014The hot-spot phenomenon is a relatively frequent problem occurring in current photovoltaic generators. It entails both a risk for the photovoltaic module's lifetime and a decrease in its operational efficiency. Nevertheless, there is still a lack of widely ... More

Hyperboloidal slicing approach to quasi-normal mode expansions: the Reissner-Nordström caseSep 08 2018We study quasi-normal modes of black holes, with a focus on resonant (or quasi-normal mode) expansions, in a geometric frame based on the use of conformal compactifications together with hyperboloidal foliations of spacetime. Specifically, this work extends ... More

Incomplete Generalized Fibonacci and Lucas PolynomialsAug 19 2013In this paper, we define the incomplete h(x)-Fibonacci and h(x)-Lucas polynomials, we study recurrence relations and some properties of these polynomials

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

Zeros of sections of power series: deterministic and randomJul 10 2015Dec 02 2016We present a streamlined proof (and some refinements) of a characterization (due to F. Carlson and G. Bourion, and also to P. Erd\"os and H. Fried) of the so called Szeg\"o's power series. This characterization is then applied to readily obtain some (more) ... 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.

Empirical strategy-proofnessJul 29 2019We study the plausibility of sub-optimal Nash equilibria of the direct revelation mechanism associated with a strategy-proof social choice function. By using the recently introduced empirical equilibrium analysis (Velez and Brown, 2019, arXiv:1804.07986) ... More

Quantum percolation in power-law diluted chainsMar 26 2001We investigate the quantum percolation problem in a diluted chain with long-range hopping amplitudes. Each bond is activated with probability $p(r) = p_1/r^{\alpha}$, where $r$ is the distance between two sites and $\alpha$ characterizes the range of ... More

Comparison Between IPv4 to IPv6 Transition TechniquesDec 01 2016The IPv4 addresses exhaustion demands a protocol transition from IPv4 to IPv6. The original transition technique, the dual stack, is not widely deployed yet and it demanded the creation of new transition techniques to extend the transition period. This ... More

Empirical bias and efficiency of alpha-auctions: experimental evidenceMay 09 2019We experimentally evaluate the comparative performance of the winner-bid, average-bid, and loser-bid auctions for the dissolution of a partnership. The recently introduced empirical equilibrium analysis of Velez and Brown (2019) reveals that as long as ... More

Wavepacket spreading dynamics under a non-instantaneous nonlinearity: Self-trapping, defocusing and focusingMar 09 2012Special localized wavemodes show up in several physical scenarios including BEC in optical lattices, nonlinear photonic crystals and systems with strong electron-phonon interaction. These result from an underlying nonlinear contribution to the wave equation ... More

The paradox of monotone structural QREMay 14 2019McKelvey and Palfrey (1995)'s monotone structural Quantal Response Equilibrium theory may be misspecified for the study of monotone behavior.

A fixed-point-free map of a tree-like continuum induced by bounded valence maps on treesAug 29 2016Towards attaining a better working understanding of fixed points of maps of tree-like continua, Oversteegen and Rogers constructed a tree-like continuum with a fixed-point-free self-map, described explicitly in terms of inverse limits. Specifically, they ... More

Elastic shocks in relativistic rigid rods and ballsNov 29 2018May 15 2019We study the free boundary problem for the "hard phase" material introduced by Christodoulou, both for rods in (1+1)-dimensional Minkowski spacetime and for spherically symmetric balls in (3+1)-dimensional Minkowski spacetime. Unlike Christodoulou, we ... More

Non-existence of greedy bases in direct sums of mixed $\ell_{p}$ spacesJan 03 2014Jan 20 2014The fact that finite direct sums of two or more mutually different spaces from the family $\{\ell_{p} : 1\le p<\infty\}\cup c_{0}$ fail to have greedy bases is stated in [Dilworth et al., Greedy bases for Besov spaces, Constr. Approx. 34 (2011), no. 2, ... More

On the probability distribution of the gcd and lcm of $r$-tuples of integersMay 02 2013This paper is devoted to the study of statistical properties of the greatest common divisor and the least common multiple of random samples of positive integers.

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

Discovery of Tidal RR LYRAE stars in the Bulge Globular Cluster M 62Nov 15 2018The RR Lyrae (RRL) rich globular cluster M 62 (NGC 6266) is one of the most massive globular clusters in the Milky Way, located in the dense region of the Galactic bulge, where dynamical processes that affect the survival of globular clusters are maximised. ... More

Spin-polarized current, spin-transfer torque and spin Hall effect in presence of an electromagnetic non-minimal couplingJul 29 2019In this contribution, we start off from a fully relativistic description of a single electron non-minimally coupled to an external electromagnetic field. Making direct use of the field equation, instead of canonically deriving from the Lagrangian density, ... More

Equidistribution and coprimalityOct 14 2013This paper is devoted to the study of equidistributional properties of \textit{totient points} in $\mathbb{N}^r$, that is, of coprime $r$-tuples of integers, with particular emphasis on some relevant sets of totient points fulfilling extra divisibility ... More

Some determinants involving incomplete Fubini numbersFeb 17 2018We study some properties of restricted and associated Fubini numbers. In particular, they have the natural extensions of the original Fubini numbers in the sense of determinants. We also introduce modified Bernoulli and Cauchy numbers and study characteristic ... More

Building highly conditional quasi-greedy bases in classical Banach spacesDec 11 2017It is known that for a conditional quasi-greedy basis $\mathcal{B}$ in a Banach space $\mathbb{X}$, the associated sequence $(k_{m}[\mathcal{B}])_{m=1}^{\infty}$ of its conditionality constants verifies the estimate $k_{m}[\mathcal{B}]=\mathcal{O}(\log ... More

On localizations of quasi-simple groups with given countable centerOct 26 2018A group homomorphism $i: H \to G$ is a localization of $H$ if for every homomorphism $\varphi: H\rightarrow G$ there exists a unique endomorphism $\psi: G\rightarrow G$, such that $i \psi=\varphi$ (maps are acting on the right). G\"{o}bel and Trlifaj ... More

Some interesting features of new massive gravityAug 03 2011A proof that new massive gravity - the massive 3D gravity model proposed by Bergshoeff, Hohm and Townsend (BHT) - is the only unitary system at the tree level that can be constructed by augmenting planar gravity through the curvature-squared terms, is ... More

Multichannel Robot Speech Recognition Database: MChRSRDec 30 2017In real human robot interaction (HRI) scenarios, speech recognition represents a major challenge due to robot noise, background noise and time-varying acoustic channel. This document describes the procedure used to obtain the Multichannel Robot Speech ... More

Weighted delay-and-sum beamforming guided by visual tracking for human-robot interactionJun 17 2019This paper describes the integration of weighted delay-and-sum beamforming with speech source localization using image processing and robot head visual servoing for source tracking. We take into consideration the fact that the directivity gain provided ... More

The mRMR variable selection method: a comparative study for functional dataJul 13 2015The use of variable selection methods is particularly appealing in statistical problems with functional data. The obvious general criterion for variable selection is to choose the `most representative' or `most relevant' variables. However, it is also ... More

On-off intermittency and amplitude-phase synchronization in Keplerian shear flowsNov 14 2014We study the development of coherent structures in local simulations of the magnetorotational instability in accretion discs in regimes of on-off intermittency. In a previous paper [Chian et al., Phys. Rev. Lett. 104, 254102 (2010)], we have shown that ... More

Autonomous Navigation of MAVs in Unknown Cluttered EnvironmentsJun 20 2019Aug 22 2019This paper presents an autonomous navigation framework for reaching a goal in unknown 3D cluttered environments. The framework consists of three main components. First, a computationally efficient method for mapping the environment from the disparity ... More

Towards the solution of an integrable $D_2^{(2)}$ spin chainMay 27 2019Jun 16 2019Two branches of integrable open quantum-group invariant $D_{n+1}^{(2)}$ quantum spin chains are known. For one branch (epsilon=0), a complete Bethe ansatz solution has been proposed. However, the other branch (epsilon=1) has so far resisted solution. ... More

Boundedness of differential transforms for one-sided fractional Poisson-type operator sequenceJul 17 2019Aug 05 2019In this paper, we analyze the convergence speed of a series related with $\P_{\tau}^\a f$ by discussing the behavior of the family of operators \begin{equation*} T_N^\a f(t)=\sum_{j=N_1}^{N_2} v_j(\P_{a_{j+1}}^\a f(t)-\P_{a_j}^\a f(t)),\quad ~N=(N_1,N_2)\in ... More

Random walks on weighted networks: Exploring local and non-local navigation strategiesJan 17 2019In this paper, we present an overview of different types of random walk strategies with local and non-local transitions on undirected connected networks. We present a general approach to analyzing these strategies by defining the dynamics as a discrete ... More

A Hybrid Method for Online Trajectory Planning of Mobile Robots in Cluttered EnvironmentsAug 22 2019This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently generate an obstacle-free ... More

Autonomous Navigation of MAVs in Unknown Cluttered EnvironmentsJun 20 2019This paper presents an autonomous navigation framework for reaching a goal in unknown 3D cluttered environments. The framework consists of three main components. First, a computationally efficient method for mapping the environment from the disparity ... More

Highly-Reverberant Real Environment database: HRREJan 29 2018Mar 23 2018Speech recognition in highly-reverberant real environments remains a major challenge. An evaluation dataset for this task is needed. This report describes the generation of the Highly-Reverberant Real Environment database (HRRE). This database contains ... More

pyBioSig: optimizing group discrimination using genetic algorithms for biosignature discoveryJul 30 2015In medical sciences, a biomarker is "a characteristic that is objectively measured and evaluated as an indicator of normal biological processes, pathogenic processes, or pharmacologic responses to a therapeutic intervention". Molecular experiments are ... More

Multi-point Taylor Expansions of Analytic FunctionsOct 20 2004Taylor expansions of analytic functions are considered with respect to several points, allowing confluence of any of them. Cauchy-type formulas are given for coefficients and remainders in the expansions, and the regions of convergence are indicated. ... More

1-Greedy renormings of Garling sequence spacesMay 10 2017Garling sequence spaces admit a renorming with respect to which their standard unit vector basis is 1-greedy. We also discuss some additional properties of these Banach spaces related to uniform convexity and superreflexivity. In particular, our approach ... More

Contagion in Bitcoin networksJun 04 2019We construct the Google matrices of bitcoin transactions for all year quarters during the period of January 11, 2009 till April 10, 2013. During the last quarters the network size contains about 6 million users (nodes) with about 150 million transactions. ... More

A New Approach to the $r$-Whitney Numbers by Using Combinatorial Differential CalculusFeb 21 2017In the present article we introduce two new combinatorial interpretations of the $r$-Whitney numbers of the second kind obtained from the combinatorics of the differential operators associated to the grammar $G:=\{ y\rightarrow yx^{m}, x\rightarrow x\}$. ... More

Enumeration of $k$-Fibonacci Paths using Infinite Weighted AutomataDec 06 2013Aug 05 2014In this paper, we introduce a new family of generalized colored Motzkin paths, where horizontal steps are colored by means of $F_{k,l}$ colors, where $F_{k,l}$ is the $l$th $k$-Fibonacci number. We study the enumeration of this family according to the ... More

Decay of solutions of the wave equation in expanding cosmological spacetimesJan 26 2018Jul 03 2019We study the decay of solutions of the wave equation in some expanding cosmological spacetimes, namely flat Friedmann-Lema\^itre-Robertson-Walker (FLRW) models and the cosmological region of the Reissner-Nordstr\"om-de Sitter (RNdS) solution. By introducing ... More

Pyramids and monomial blowing-upsSep 23 2004We show that a convex pyramid in R^n with apex at 0 can be brought to the first quadrant by a finite sequence of monomial blowing-ups if and only if its intersection with the opposite of the first quadrant is 0. The proof is non-trivially derived from ... More

Estimating Stochastic Production Frontiers: A One-stage Multivariate Semi-Nonparametric Bayesian Concave Regression MethodOct 06 2015This paper describes a method to estimate a production frontier that satisfies the axioms of monotonicity and concavity in a non-parametric Bayesian setting. An inefficiency term that allows for significant departure from prior distributional assumptions ... More

Wikipedia Ranking of World UniversitiesNov 29 2015Feb 04 2016We use the directed networks between articles of 24 Wikipedia language editions for producing the Wikipedia Ranking of World Universities (WRWU) using PageRank, 2DRank and CheiRank algorithms. This approach allows to incorporate various cultural views ... More

Holographic Bulk Reconstruction And Cosmological SingularitiesJun 11 2019We study the structure of entanglement wedges in the Kasner-AdS geometry, which provides an example of AdS/CFT engineered cosmological singularity. We investigate the specific limitations of causal reconstruction methods, imposed by the presence of the ... More

Fractional powers of the parabolic Hermite operator. Regularity propertiesAug 09 2017Let $\mathcal{L}= \partial_t- \Delta_x+|x|^2$. Consider its Poisson semigroup $e^{-y\sqrt{\mathcal{L}}}$. For $\alpha >0$ define the Parabolic Hermite-Zygmund spaces $$ \Lambda^\alpha_{\mathcal{L}}=\left\{f: \:f\in L^\infty(\mathbb{R}^{n+1})\:\; {\rm ... More

On Garling sequence spacesMar 22 2017The aim of this paper is to introduce and investigate a new class of separable Banach spaces modeled after an example of Garling from 1968. For each $1\leqslant p<\infty$ and each nonincreasing weight $\textbf{w}\in c_0\setminus\ell_1$ we exhibit an $\ell_p$-saturated, ... More

A note on the asymptotic expansion of the Lerch's transcendentJun 04 2018In a previous paper by Ferreira and L\'opez [Journal of Mathematical Analysis and Applications, 298(1), 2004], the authors derived an asymptotic expansion of the Lerch's transcendent $\Phi(z,s,a)$ for large $\vert a\vert$, valid for $\mathrm{Re}(a)>0$, ... More

The Theory of Optical Black Hole LasersJan 20 2017Apr 03 2017The event horizon of black holes and white holes can be achieved in the context of analogue gravity. It was proven for a sonic case that if these two horizons are close to each other their dynamics resemble a laser, a black hole laser, where the analogue ... More

Decay of solutions of the wave equation in expanding cosmological spacetimesJan 26 2018Jul 22 2019We study the decay of solutions of the wave equation in some expanding cosmological spacetimes, namely flat Friedmann-Lema\^itre-Robertson-Walker (FLRW) models and the cosmological region of the Reissner-Nordstr\"om-de Sitter (RNdS) solution. By introducing ... More

Conditional quasi-greedy bases in non-superreflexive Banach spacesFeb 21 2017For a conditional quasi-greedy basis $\mathcal{B}$ in a Banach space the associated conditionality constants $k_{m}[\mathcal{B}]$ verify the estimate $k_{m}[\mathcal{B}]=\mathcal{O}(\log m)$. Answering a question raised by Temlyakov, Yang, and Ye, several ... More

Two-step benchmarking: Setting more realistically achievable targets in DEASep 13 2017The models that set the closest targets have made an important contribution to DEA as tool for the best-practice benchmarking of decision making units (DMUs). These models may help defining plans for improvement that require less effort from the DMUs. ... More

Lipschitz spaces adapted to Schrödinger operators and regularity propertiesJan 21 2019It is well known that the class of measurable functions which satisfy $$ \sup_{|z|>0}\frac{\|f(\cdot+z)+f(\cdot-z)-2f(\cdot)\|_\infty}{|z|^\alpha}<\infty $$ coincides with the class of Lipschitz functions for $0<\alpha<1$, with the Zygmund class if $\alpha=1$ ... More

Shear banding in nematogenic fluids with oscillating orientational dynamicsMay 19 2016We investigate the occurrence of shear banding in nematogenic fluids under planar Couette flow, based on mesoscopic dynamical equations for the orientational order parameter and the shear stress. We focus on parameter values where the sheared homogeneous ... More

Quark-antiquark potential from a deformed AdS/QCDJun 14 2018Jan 02 2019In this work we calculate the static limit of the energy for a quark-antiquark pair from the Nambu-Goto action using a holographic approach with a deformed AdS space, with warp factor $\exp\{(\kappa z)^n/n\}$. From this energy we derive the Cornell potential ... More

The integrable quantum group invariant A_{2n-1}^(2) and D_{n+1}^(2) open spin chainsJul 28 2017Sep 03 2017A family of A_{2n}^(2) integrable open spin chains with U_q(C_n) symmetry was recently identified in arXiv:1702.01482. We identify here in a similar way a family of A_{2n-1}^(2) integrable open spin chains with U_q(D_n) symmetry, and two families of D_{n+1}^(2) ... More

Variations of the free implicative semilattice extension of a Hilbert algebraJul 05 2018In [{\it On the free implicative semilattice extension of a Hilbert algebra}. Mathematical Logic Quarterly 58, 3 (2012), 188--207], Celani and Jansana give an explicit description of the free implicative semilattice extension of a Hilbert algebra. In ... More

Learning Definite Horn Formulas from Closure QueriesMar 31 2015Nov 09 2015A definite Horn theory is a set of n-dimensional Boolean vectors whose characteristic function is expressible as a definite Horn formula, that is, as conjunction of definite Horn clauses. The class of definite Horn theories is known to be learnable under ... More

Cosmic no-hair in spherically symmetric black hole spacetimesJan 19 2018Jul 16 2018We analyze in detail the geometry and dynamics of the cosmological region arising in spherically symmetric black hole solutions of the Einstein-Maxwell-scalar field system with a positive cosmological constant. More precisely, we solve, for such a system, ... More

Interdependence of sectors of economic activities for world countries from the reduced Google matrix analysis of WTO dataMay 16 2019Jun 03 2019We apply the recently developed reduced Google matrix algorithm for the analysis of the OECD-WTO world network of economic activities. This approach allows to determine interdependences and interactions of economy sectors of several countries, including ... More

Innermost stable circular orbits around magnetized rotating massive starsSep 02 2010In 1998, Shibata and Sasaki [Phys. Rev. D 58, 104011 (1998)] presented an approximate analytical formula for the radius of the innermost stable circular orbit (ISCO) of a neutral test particle around a massive, rotating and deformed source. In the present ... More

Simulation of the energy efficiency auction prices in BrazilNov 09 2018The electricity consumption behavior in Brazil has been extensively investigated over the years due to financial and social problems. In this context, it is important to simulate the energy prices of the energy efficiency auctions in the Brazilian regulated ... More

Structure of globally hyperbolic spacetimes with timelike boundaryAug 13 2018Nov 21 2018Globally hyperbolic spacetimes with timelike boundary $(\overline{M} = M \cup \partial M, g)$ are the natural class of spacetimes where regular boundary conditions (eventually asymptotic, if $\overline{M}$ is obtained by means of a conformal embedding) ... More

Structure of globally hyperbolic spacetimes with timelike boundaryAug 13 2018Aug 14 2019Globally hyperbolic spacetimes with timelike boundary $(\overline{M} = M \cup \partial M, g)$ are the natural class of spacetimes where regular boundary conditions (eventually asymptotic, if $\overline{M}$ is obtained by means of a conformal embedding) ... More

Unconditional and quasi-greedy bases in $L_p$ with applications to Jacobi polynomials Fourier seriesJul 21 2015We show that the decreasing rearrangement of the Fourier series with respect to the Jacobi polynomials for functions in $L_p$ does not converge unless $p=2$. As a by-product of our work on quasi-greedy bases in $L_{p}(\mu)$, we show that no normalized ... More

Multiplicity of solutions of some quasilinear equations in ${\mathbb{R}^{N}}$ with variable exponents and concave-convex nonlinearitiesSep 02 2014In this paper, we prove multiplicity of solutions for a class of quasilinear problems in $ \mathbb{R}^{N} $ involving variable exponents and nonlinearities of concave-convex type. The main tools used are variational methods, more precisely, Ekeland's ... More

Higher order commutator estimates and local existence for the non-resistive MHD equations and related modelsJan 20 2014This paper establishes the local-in-time existence and uniqueness of strong solutions in $H^{s}$ for $s > n/2$ to the viscous, non-resistive magnetohydrodynamics (MHD) equations in $\mathbb{R}^{n}$, $n=2, 3$, as well as for a related model where the advection ... More

MIDAS: Software for the detection and analysis of lunar impact flashesMar 24 2015Since 2009 we are running a project to identify flashes produced by the impact of meteoroids on the surface of the Moon. For this purpose we are employing small telescopes and high-sensitivity CCD video cameras. To automatically identify these events ... More

Multiwavelength observations of a bright impact flash during the January 2019 total lunar eclipseMay 11 2019We discuss here a lunar impact flash recorded during the total lunar eclipse that occurred on 2019 January 21, at 4h 41m 38.09 +- 0.01 s UT. This is the first time ever that an impact flash is unambiguously recorded during a lunar eclipse and discussed ... More

Millimagnitude Photometry for Transiting Extrasolar Planetary Candidates III: Accurate Radius and Period for OGLE-TR-111-bJan 11 2007We present accurate V-band photometry for a planetary transit of OGLE-TR-111 acquired with VIMOS at the ESO Very Large Telescope. The measurement of this transit allows to refine the planetary radius, obtaining R_p= 1.01 +/- 0.06 R_J. Given the mass of ... More

A modified CoRoT detrend algorithm and the discovery of a new planetary companionSep 01 2017We present MCDA, a modification of the CoRoT detrend algorithm (CDA) suitable to detrend chromatic light curves. By means of robust statistics and better handling of short term variability, the implementation decreases the systematic light curve variations ... More

One of the closest exoplanet pairs to the 3:2 Mean Motion Resonance: K2-19b \& cMar 02 2015Sep 02 2015The K2 mission has recently begun to discover new and diverse planetary systems. In December 2014 Campaign 1 data from the mission was released, providing high-precision photometry for ~22000 objects over an 80 day timespan. We searched these data with ... More

Local existence for the non-resistive MHD equations in nearly optimal Sobolev spacesFeb 08 2016This paper establishes the local-in-time existence and uniqueness of solutions to the viscous, non-resistive magnetohydrodynamics (MHD) equations in $\mathbb{R}^d$, $d=2,3$, with initial data $B_0\in H^s(\mathbb{R}^d)$ and $u_0\in H^{s-1+\varepsilon}(\mathbb{R}^d)$ ... More

Millimagnitude Photometry for Transiting Extrasolar Planetary Candidates: II. Transits of OGLE-TR-113-b in the Optical and Near-IRJan 11 2007We present precise V and Ks-band transit photometry for the planetary host star OGLE-TR-113. Using the Ks-band photometry, we confirm the dwarf nature of OGLE-TR-113, and obtain new estimates for its effective temperature, distance and reddening. We employ ... More

Power laws and self-similar behavior in negative ionization frontsApr 01 2005We study anode-directed ionization fronts in curved geometries. When the magnetic effects can be neglected, an electric shielding factor determines the behavior of the electric field and the charged particle densities. From a minimal streamer model, a ... More

The impact of Use Cases in real-world software development projects: A systematic mapping studyJun 16 2019Objective: To identify and classify the positive and negative impacts of using Use Cases in real-world settings. Method: We conducted a systematic mapping study. The search strategies retrieved a set of 4,431 papers out of which 47 were selected as primary ... More

Heat Kernel Estimates for Fractional Heat EquationFeb 13 2019Jun 24 2019We study the long-time behavior of the Cesaro means of fundamental solutions for fractional evolution equations corresponding to random time changes in the Brownian motion and other Markov processes. We consider both stable subordinators leading to equations ... More

Why doubly excited determinants govern configuration interaction calculations of electron correlationsSep 23 2014Sep 27 2014Computational evidence shows that, when using natural orbitals to study (dynamical and non-dynamical) electron correlation, determinants with an odd number of excitations play a negligible role. Instead, doubly excited determinants rule the rostrum in ... More

Asymptotic greediness of the Haar system in the spaces $L_{p}[0,1]$, $1<p<\infty$May 03 2018Our aim in this paper is to attain a sharp asymptotic estimate for the greedy constant $C_g[\mathcal{H}^{(p)},L_p]$ of the (normalized) Haar system $\mathcal{H}^{(p)}$ in $L_{p}[0,1]$ for $1<p<\infty$. We will show that the superdemocracy constant of ... More

Trees, homology, and automorphism groups of RAAGsJul 08 2017We study the homology of an explicit finite-index subgroup of the automorphism group of a partially commutative group, in the case when its defining graph is a tree. More concretely, we give a lower bound on the first Betti number of this subgroup, based ... More

The isomorphism problem for universal enveloping algebras of four-dimensional solvable Lie algebrasMar 16 2019Aug 18 2019This paper is a contribution to the isomorphism problem for universal enveloping algebras of finite-dimensional Lie algebras. The main result is that this problem has a positive solution in the class of solvable Lie algebras of dimension at most four ... More

Energy conservation in the 3D Euler equations on $\mathbb{T}^2\times \mathbb{R}_+$Nov 01 2016Jun 30 2017The aim of this paper is to prove energy conservation for the incompressible Euler equations in a domain with boundary. We work in the domain $\mathbb{T}^2\times\mathbb{R}_+$, where the boundary is both flat and has finite measure. However, first we study ... More

Energy conservation for the Euler equations on $\mathbb{T}^2\times \mathbb{R}_+$ for weak solutions defined without reference to the pressureJun 01 2018We study weak solutions of the incompressible Euler equations on $\mathbb{T}^2\times \mathbb{R}_+$; we use test functions that are divergence free and have zero normal component, thereby obtaining a definition that does not involve the pressure. We prove ... More

Chaotic zones around rotating small bodiesMay 08 2017Small bodies of the Solar system, like asteroids, trans-Neptunian objects, cometary nuclei, planetary satellites, with diameters smaller than one thousand kilometers usually have irregular shapes, often resembling dumb-bells, or contact binaries. The ... More

The isomorphism problem for universal enveloping algebras of four-dimensional solvable Lie algebrasMar 16 2019This paper is a contribution to the isomorphism problem for universal enveloping algebras of finite-dimensional Lie algebras. The main result is that this problem has a positive solution in the class of solvable Lie algebras of dimension at most four ... More

The cosmological phase space of generalized hybrid metric-Palatini theories of gravityAug 21 2019In this work, we study the cosmological phase space of the generalized hybrid metric-Palatini gravity theory, characterized by the functions $f\left(R,\mathcal R\right)$, using a dynamical system approach. We formulate the propagation equations of the ... More

Coulomb's law modification driven by a logarithmic electrodynamicsNov 07 2018We examine physical aspects for the electric version of a recently proposed logarithmic electrodynamics, for which the electric field of a point-like charge is finite at the origin. It is shown that this electrodynamics displays the vacuum birefringence ... More

Thermoelectricity of cold ions in optical latticesJan 28 2019We study analytically and numerically the thermoelectric properties of cold ions placed in an optical lattice. Our results show that the transition from sliding to pinned phase takes place at a certain critical amplitude of lattice potential being similar ... More

Asymptotic stability of solitary waves in the Benney-Luke model of water wavesFeb 02 2012We study asymptotic stability of solitary wave solutions in the one-dimensional Benney-Luke equation, a formally valid approximation for describing two-way water wave propagation. For this equation, as for the full water wave problem, the classic variational ... More

Integral points in rational polygons: a numerical semigroup approachJul 02 2019In this paper we use an elementary approach by using numerical semigroups (specifically, those with two generators) to give a formula for the number of integral points inside a right-angled triangle with rational vertices. This is the basic case for computing ... More