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The failure of the Classical Nucleation Theory at low temperatures resolvedFeb 08 2019A relevant observation about crystal nucleation kinetics in glass-forming substances has been a matter of intense debate for several decades. The Classical Nucleation Theory (CNT) allegedly fails to describe the temperature dependence of the homogeneous ... More

Design of a hybrid silicon-plasmonic co-propagant integrated coherent perfect absorberDec 16 2015By a hybrid integration of plasmonic and dielectric waveguide concepts, it is shown that coherent perfect absorption can be achieved in a co-propagant coupler geometry. The device holds promises for classical and quantum signal processing. First, the ... More

Universal lineshapes at the crossover between weak and strong critical coupling in Fano-resonant coupled oscillatorsSep 02 2015In this article we discuss a model describing key features concerning the lineshapes and the coherent absorption conditions in Fano-resonant dissipative coupled oscillators. The model treats on the same footing the weak and strong coupling regimes, and ... More

On killers of cable knots groupsOct 12 2016A killer of a group Gis an element that normally generates G. We show that the group of a cable knot contains infinitely many killers such that no two lie in the same automorphic orbit.

Rebuttal to Schmelzer and Tropin: Glass Transition, Crystallization of Glass-Forming Melts, and EntropyMar 20 2018In a recent article, Schmelzer and Tropin [Entropy 20 [2] 103 (2018)] presented an unfounded, confusing critique of several aspects of modern glass science. Relying on pre-Socratic Greek philosophy and state-of-the-art scientific understanding from the ... More

Coherent perfect absorption in photonic structuresJun 01 2016The ability to drive a system with an external input is a fundamental aspect of light-matter interaction. The coherent perfect absorption (CPA) phenomenon extends to the general multibeam interference phenomenology the well known critical coupling concepts. ... More

Strong-Weak Coupling Duality in Quantum MechanicsSep 18 1996We present a strong-weak coupling duality for quantum mechanical potentials. Similarly to what happens in quantum field theory, it relates two problems with inverse couplings, leading to a mapping of the strong coupling regime into the weak one, giving ... More

Deformed solitons: The case of two coupled scalar fieldsMay 22 2007In this work, we present a general procedure, which is able to generate new exact solitonic models in 1+1 dimensions, from a known one, consisting of two coupled scalar fields. An interesting consequence of the method, is that of the appearing of nontrivial ... More

Mapping deformed hyperbolic potentials into nondeformed onesJan 18 2005In this work we introduce a mapping between the so called deformed hyperbolic potentials, which are presenting a continuous interest in the last few years, and the corresponding nondeformed ones. As a consequence, we conclude that these deformed potentials ... More

SPPAM - Statistical PreProcessing AlgorithMMar 11 2011Most machine learning tools work with a single table where each row is an instance and each column is an attribute. Each cell of the table contains an attribute value for an instance. This representation prevents one important form of learning, which ... More

Quantum propagator for some classes of three-dimensional three-body systemsMay 18 2007In this work we solve exactly a class of three-body propagators for the most general quadratic interactions in the coordinates, for arbitrary masses and couplings. This is done both for the constant as the time-dependent couplings and masses, by using ... More

General solutions for some classes of interacting two field kinksMay 21 2007In this work we present some classes of models whose the corresponding two coupled first-order nonlinear equations can be put into a linear form, and consequently be solved completely. In these cases the so-called trial orbit method is completely unnecessary. ... More

Ordering ambiguity versus representationMay 22 2007In this work we show that the ordering ambiguity on quantization depends on the representation choice. This property is then used to solve unambiguously some particular systems. Finally, we speculate on the consequences for more involved cases.

FRW cosmologies and hyperscaling-violating geometries: higher curvature corrections, ultrametricity, Q-space/QFT duality, and a little string theoryAug 05 2013Apr 14 2014We analyze flat FRW cosmologies and hyperscaling-violating geometries by emphasizing the analytic continuation between them and their scale covariance. We exhibit two main calculations where this point of view is useful. First, based on the scale covariance, ... More

First and second-order metal-insulator phase transitions and topological aspects of a Hubbard-Rashba systemOct 18 2016Oct 24 2016This paper considers a model consisting of a kinetic term, Rashba spin-orbit coupling and short-range Coulomb interaction at zero-temperature. The Coulomb interaction is decoupled by a mean-field approximation in the spin channel using field theory methods. ... More

Photonic bands and defect modes in metallo-dielectric photonic crystal slabsMay 30 2016Photonic components based on structured metallic elements show great potential for device applications where field enhancement and confinement of the radiation on a subwavelength scale is required. In this paper we report a detailed study of a prototypical ... More

Saturation and bistability of defect-mode intersubband polaritonsMay 28 2016In this article we report about linear and nonlinear optical properties of intersubband cavity polariton samples, where the resonant photonic mode is a defect state in a metallo-dielectric photonic crystal slab. By tuning a single geometric parameter ... More

A general convex framework for multiple testing with prior informationMar 17 2016Using prior information may improve power in frequentist multiple testing. P-value weighting is a promising methodology where each test is conducted at a different level, using critical values based on independent prior data. However, existing methods ... More

First and second-order metal-insulator phase transitions and topological aspects of a Hubbard-Rashba systemOct 18 2016This paper considers a model consisting of a kinetic term, Rashba spin-orbit coupling and short-range Coulomb interaction at zero-temperature. The Coulomb interaction is decoupled by a mean-field approximation in the spin channel using field theory methods. ... More

Gravitational Fields and The Basic Unit System conceptAug 22 1999This is the third one of three papers I have presented as an application of the Basic Unit System concept, a complex mathematical unit presented in The Basic Unit System concept and The Principle of Synergy. In this case this Bus concept is used as a ... More

Emergent gravity from Eguchi-Kawai reductionNov 13 2016Nov 15 2016Holographic theories with a local gravitational dual have a number of striking features. Here I argue that many of these features are controlled by the Eguchi-Kawai mechanism, which is proposed to be a hallmark of such holographic theories. Higher-spin ... More

Efficient Computation of Limit Spectra of Sample Covariance MatricesJul 07 2015Consider an $n \times p$ data matrix $X$ whose rows are independently sampled from a population with covariance $\Sigma$. When $n,p$ are both large, the eigenvalues of the sample covariance matrix are substantially different from those of the true covariance. ... More

Emergent gravity from Eguchi-Kawai reductionNov 13 2016Holographic theories with a local gravitational dual have a number of striking features. Here I argue that many of these features are controlled by the Eguchi-Kawai mechanism, which is proposed to be a hallmark of such holographic theories. Higher-spin ... More

Restricted Complexity, General ComplexityOct 10 2006Why has the problematic of complexity appeared so late? And why would it be justified?

The Basic Unit System concept and The Principle of SynergyAug 20 1999The purpose of this paper is to present a new proposal to both dualistic and holistic paradigm, by introducing a complex basic unit system mathematical concept in which the quantitative and the qualitative aspects of reality commingle in a unit, and by ... More

Physics of high energy atmospheric muonsDec 21 2010In the first part of the talk the interesting new results of MINOS, OPERA and CMS collaborations (connected with the observational evidence of the rise in the muon charge ratio at muon energies around 1 TeV) are briefly discussed from theoretical point ... More

High Mach-number Bondi--Hoyle--Lyttleton flow around a small accretorJan 05 2005In this paper, we discuss a two-dimensional numerical study of isothermal high Mach number Bondi--Hoyle--Lyttleton flow around a small accretor. The flow is found to be unstable at high Mach numbers, with the instability appearing even for a larger accretor. ... More

The distribution of the number of parts of $m$-ary partitions modulo $m$Feb 29 2016We investigate the number of parts modulo $m$ of $m$-ary partitions of a positive integer $n$. We prove that the number of parts is equidistributed modulo $m$ on a special subset of $m$-ary partitions. As consequences, we explain when the number of parts ... More

Modular forms and a generalized Cardy formula in higher dimensionsAug 11 2015Apr 26 2016We derive a formula which applies to conformal field theories on a spatial torus and gives the asymptotic density of states solely in terms of the vacuum energy on a parallel plate geometry. The formula follows immediately from global scale and Lorentz ... More

A Cardy formula for holographic hyperscaling-violating theoriesApr 08 2015Feb 10 2016We propose a formalism for counting the microstates of a class of three-dimensional black holes which are not asymptotically AdS. The formalism rests on the invariance of a dual field theory under a generalized modular transformation and is extended to ... More

Searching for the elusive gravitonOct 08 2008Oct 08 2008We present a search for large extra dimensions in the single photon plus missing transverse energy channel (Kaluza-Klein graviton production) performed using 2.7 fb-1 of data collected by the D0 experiment at the Fermilab Tevatron collider. At 95% C.L., ... More

Sharp detection in PCA under correlations: all eigenvalues matterFeb 22 2016Principal component analysis (PCA) is a widely used method for dimension reduction. In high dimensional data, the "signal" eigenvalues corresponding to weak principal components (PCs) do not necessarily separate from the bulk of the "noise" eigenvalues. ... More

Modeling Retinal Ganglion Cell Population Activity with Restricted Boltzmann MachinesJan 11 2017Jan 17 2017The retina is a complex nervous system which encodes visual stimuli before higher order processing occurs in the visual cortex. In this study we evaluated whether information about the stimuli received by the retina can be retrieved from the firing rate ... More

Mid-Infrared intersubband polaritons in dispersive metal-insulator-metal resonatorsJun 16 2016We demonstrate room-temperature strong-coupling between a mid-infrared ($\lambda$=9.9 $\mu$m) intersubband transition and the fundamental cavity mode of a metal-insulator-metal resonator. Patterning of the resonator surface enables surface-coupling of ... More

Stellar properties and nuclear matter constraintsOct 07 2015Sep 23 2016We have analyzed stellar properties of the relativistic mean-field (RMF) parametrizations shown to be consistent with the recently studied constraints related to nuclear matter, pure neutron matter, symmetry energy and its derivatives [Dutra et al., Phys. ... More

Threads and Or-Parallelism UnifiedJul 26 2010One of the main advantages of Logic Programming (LP) is that it provides an excellent framework for the parallel execution of programs. In this work we investigate novel techniques to efficiently exploit parallelism from real-world applications in low ... More

Approximating the maximum of a polynomial over a polytope: Handelman decomposition and continuous generating functionsJan 16 2016Jun 25 2016We investigate a way to approximate the maximum of a polynomial over a polytopal region by using Handelman's polynomial decomposition and continuous multivariate generating functions. The maximization problem is NP-hard, but our approximation methods ... More

Free Relativistic Anyons with Canonical Spin AlgebraNov 10 1994Dec 01 1994We discuss a relativistic free particle with fractional spin in 2+1 dimensions, where the dual spin components satisfy the canonical angular momentum algebra $\left\{ S_\mu , S_\nu \right\}\,=\,\epsilon_{\mu \nu \gamma}S^\gamma $. It is shown that it ... More

Accelerating Recommender Systems using GPUsNov 08 2015We describe GPU implementations of the matrix recommender algorithms CCD++ and ALS. We compare the processing time and predictive ability of the GPU implementations with existing multi-core versions of the same algorithms. Results on the GPU are better ... More

Multiflavor SolderingDec 22 2007In two dimensions the simple addition of two chiral bosons of opposite chiralities does not lead to a full massless scalar field. Similarly, in three dimensions the addition of two Maxwell-Chern-Simons fields of opposite helicities $\pm 1$ will not produce ... More

Comment on ``Anyon in an External Eletromagnetic Field: Hamiltonian and Lagrangian Formulations''Feb 09 1994We comment on a recent paper by Chaichian et al. (Phys.Rev.Lett. 71(1993)3405).

On the spectrum of fluctuations of a liquid surface: From the molecular scale to the macroscopic scaleDec 03 2008We show that to account for the full spectrum of surface fluctuations from low scattering vector qd << 1 (classical capillary wave theory) to high qd > 1 (bulk-like fluctuations), one must take account of the interface's bending rigidity at intermediate ... More

Large curvature perturbations near horizon crossing in single-field inflation modelsJun 27 2008Sep 04 2008We consider the examples of single-field inflation models predicting large amplitudes of the curvature perturbation power spectrum at relatively small scales. It is shown that in models with an inflationary potential of double-well type the peaks in the ... More

Saying Hello World with GrGen.NET - A Solution to the TTC 2011 Instructive CaseNov 21 2011We introduce the graph transformation tool GrGen.NET (www.grgen.net) by solving the Hello World Case of the Transformation Tool Contest 2011 which consists of a collection of small transformation tasks; for each task a section is given explaining our ... More

Solving the TTC 2011 Reengineering Case with GrGen.NETNov 21 2011The challenge of the Reengineering Case is to extract a state machine model out of the abstract syntax graph of a Java program. The extracted state machine offers a reduced view on the full program graph and thus helps to understand the program regarding ... More

A Review of Bondi--Hoyle--Lyttleton AccretionJun 07 2004Jun 21 2004If a point mass moves through a uniform gas cloud, at what rate does it accrete material? This is the question studied by Bondi, Hoyle and Lyttleton. This paper draws together the work performed in this area since the problem was first studied. Time has ... More

On the structure of the new electromagnetic conservation lawsNov 11 2003New electromagnetic conservation laws have recently been proposed: in the absence of electromagnetic currents, the trace of the Chevreton superenergy tensor, $H_{ab}$ is divergence-free in four-dimensional (a) Einstein spacetimes for test fields, (b) ... More

New effective coupled $F(^{(4)}\!R,\varphi)$ modified gravity from $f(^{(5)}\!R)$ gravity in five dimensionsFeb 07 2015Apr 23 2015We obtain a new kind of $F(^{(4)}\!R,\varphi)$ modified gravity theory as an effective four-dimensional (4D) theory derived from $f(^{(5)}\!R)$ gravity in five dimensions (5D). This new theory exhibits a different matter coupling than the one in BBHL ... More

Induced inflation from a 5D purely kinetic scalar field formalism on warped product spacesApr 18 2007Oct 01 2007Considering a separable and purely kinetic 5D scalar field on a warped product metric background we propose a new and more general approach for inducing 4D scalar potentials on a 4D constant foliation of the 5D space-time. We obtain an induced potential ... More

Gravitational Waves generated during inflation from a 5D vacuum theory of gravity in a de Sitter expansionNov 06 2006Jan 31 2007In this letter we study the generation of gravitational waves during inflation from a 5D vacuum theory of gravity. Within this formalism, on an effective 4D de Sitter background, we recover the typical results obtained with 4D inflationary theory in general ... More

On Net Maps: Examples and Nonexistence ResultsJul 04 2015A Thurston map is called nearly Euclidean if its local degree at each critical point is 2 and it has exactly four postcritical points. Nearly Euclidean Thurston (NET) maps are simple generalizations of rational Lattes maps. We investigate when such a ... More

Uniform independence for Dehn twist automorphisms of a free groupSep 21 2017Sep 19 2018McCarthy's Theorem for the mapping class group of a closed hyperbolic surface states that for any two mapping classes $\sigma,\tau \in \mathrm{Mod}(S)$ there is some power $N$ such that the group $\langle \sigma^N,\tau^N\rangle$ is either free of rank ... More

Spectral data and solvent theory for regular matrix polynomialsDec 22 2013This paper contains a re-evaluation of the spectral approach and factorizability for regular matrix polynomials. In addition, solvent theory is extended from the monic and comonic cases to the regular case. The classification of extended solvents (bisolvents) ... More

Geburtstage, Wuerfel, Produkte und KartenNov 16 2017This article, based on a talk, treats some elementary, but not completely simple examples from probability. They concern multiple birthday coincidences, throwing dice, the combinatorics of the German card game "Doppelkopf", and the properties of products ... More

Vector meson dominance and deep inelastic scattering at low and medium Q squaredApr 16 2014Jul 09 2014We argued that deep inelastic scattering (DIS) at small values of Q squared is an essentially nonperturbative process and can be described, partially at least, by the vector meson dominance (VMD) model. We showed by the straightforward calculation that ... More

Variation of Neron-Severi ranks of reductions of K3 surfacesMay 09 2014We study the behavior of geometric Picard ranks of K3 surfaces over the rationals under reduction modulo primes. We compute these ranks for reductions of smooth quartic surfaces modulo all primes $p<2^{16}$ in several representative examples and investigate ... More

Torus Curves With Vanishing CurvatureMar 06 1998Let T be the standard torus of revolution in R^3 with radii b and 1, 0<b<1. Let \alpha be a (p,q) torus curve on T. We show that there are points of zero curvature on \alpha for only one value of the variable radius of T, b=p^2/(p^2+q^2). The curve \alpha ... More

Transseries for beginnersJan 31 2008Jul 15 2009From the simplest point of view, transseries are a new kind of expansion for real-valued functions. But transseries constitute much more than that--they have a very rich (algebraic, combinatorial, analytic) structure. The set of transseries is a large ... More

Proofs of existence of local potentials for trace-free symmetric 2-forms using dimensionally dependent identitiesJul 01 2004We exploit four-dimensional tensor identities to give a very simple proof of the existence of a Lanczos potential for a Weyl tensor in four dimensions with any signature, and to show that the potential satisfies a simple linear second order differential ... More

On Effective Constraints for the Riemann-Lanczos System of EquationsFeb 05 2003There have been conflicting points of view concerning the Riemann--Lanczos problem in 3 and 4 dimensions. Using direct differentiation on the defining partial differential equations, Massa and Pagani (in 4 dimensions) and Edgar (in dimensions n > 2) have ... More

Regularity Properties for Sparse RegressionMay 22 2013Dec 05 2015Statistical and machine learning theory has developed several conditions ensuring that popular estimators such as the Lasso or the Dantzig selector perform well in high-dimensional sparse regression, including the restricted eigenvalue, compatibility, ... More

Proximal Navigation Graphs and t-spannersApr 07 2014Let $(X,\mathbf{d})$ be a metric space, $V\subseteq X$ a finite set, and $E \subseteq V \times V$. We call the graph $G(E,V)$ a {\em metric} graph if each edge $(u,v) \in E$ has weight $d(u,v)$. In particular edge $(u,u)$ is in the graph and have distance ... More

Restrictions over two-dimensional gauge models with Thirring-like interactionDec 22 2007Some years ago, it was shown how fermion self-interacting terms of the Thirring-type impact the usual structure of massless two-dimensional gauge theories [1]. In that work only the cases of pure vector and pure chiral gauge couplings have been considered ... More

A Simple Action for a Free AnyonApr 16 1997By studying classical realizations of the sl(2,R) algebra in a two dimensional phase space $(q,\pi)$, we have derived a continuous family of new actions for free anyons in 2+1 dimensions. For the case of light-like spin vector $(S_\mu S^\mu =0)$, the ... More

Dirac equation exact solutions for generalized asymmetrical Hartmann potentialsMay 23 2007In this work we solve the Dirac equation by constructing the exact bound state solutions for a mixing of vector and scalar generalized Hartmann potentials. This is done provided the vector potential is equal to or minus the scalar potential. The cases ... More

Quantization of Maxwell-Chern-Simons-Podolsky TheoryMar 28 1994We quantize a generalized electromagnetism in 2 + 1 dimensions which contains a higher-order derivative term by using Dirac's method. By introducing auxiliary fields we transform the original theory in a lower-order derivative one which can be treated ... More

Reverse engineering time discrete finite dynamical systems: A feasible undertaking?Jun 21 2007With the advent of high-throughput profiling methods, interest in reverse engineering the structure and dynamics of biochemical networks is high. Recently an algorithm for reverse engineering of biochemical networks was developed by Laubenbacher and Stigler. ... More

Timelike BKL singularities and chaos in AdS/CFTJan 11 2016Feb 10 2016We study the nature of a family of curvature singularities which are precisely the timelike cousins of the spacelike singularities studied by Belinski, Khalatnikov, and Lifshitz (BKL). We show that the approach to the singularity can be modeled by a billiard ... More

Understanding Human-Centric Images: From Geometry to FashionDec 14 2015Understanding humans from photographs has always been a fundamental goal of computer vision. In this thesis we have developed a hierarchy of tools that cover a wide range of topics with the objective of understanding humans from monocular RGB image: from ... More

Formation of primordial black holes from non-Gaussian perturbations produced in a waterfall transitionDec 23 2011Apr 12 2012We consider the process of primordial black hole (PBH) formation originated from primordial curvature perturbations produced during waterfall transition (with tachyonic instability), at the end of hybrid inflation. It is known that in such inflation models, ... More

Curvature perturbation spectra from waterfall transition, black hole constraints and non-GaussianityJul 19 2011Oct 12 2011We carried out numerical calculations of a contribution of the waterfall field to the primordial curvature perturbation (on uniform density hypersurfaces) $\zeta$, which is produced during waterfall transition in hybrid inflation scenario. The calculation ... More

Scattering theory and discrete-time quantum walksDec 08 2003Mar 31 2004We study quantum walks on general graphs from the point of view of scattering theory. For a general finite graph we choose two vertices and attach one half line to each. We are interested in walks that proceed from one half line, through the graph, to ... More

Compiler Optimization: A Case for the Transformation Tool ContestNov 21 2011An optimizing compiler consists of a front end parsing a textual programming language into an intermediate representation (IR), a middle end performing optimizations on the IR, and a back end lowering the IR to a target representation (TR) built of operations ... More

Constraints on amplitudes of curvature perturbations from primordial black holesDec 22 2008May 12 2009We calculate the primordial black hole (PBH) mass spectrum produced from a collapse of the primordial density fluctuations in the early Universe using, as an input, several theoretical models giving the curvature perturbation power spectra with large ... More

Faster deterministic integer factorizationJan 10 2012The best known unconditional deterministic complexity bound for computing the prime factorization of an integer N is O(M_int(N^(1/4) log N)), where M_int(k) denotes the cost of multiplying k-bit integers. This result is due to Bostan--Gaudry--Schost, ... More

Transseries: Composition, Recursion, and ConvergenceSep 07 2009Additional remarks and questions for transseries. In particular: properties of composition for transseries; the recursive nature of the construction of R[[[ x ]]]; modes of convergence for transseries. There are, at this stage, questions and missing proofs ... More

Transseries: Ratios, Grids, and WitnessesSep 13 2009More remarks and questions on transseries. In particular we deal with the system of ratio sets and grids used in the grid-based formulation of transseries. This involves a "witness" concept that keeps track of the ratios required for each computation. ... More

An algebraic and graph theoretical framework to study monomial dynamical systems over a finite fieldNov 08 2007Jul 30 2008An n dimensional monomial dynamical system over a finite field K is a nonlinear deterministic time discrete dynamical system with the property that each of the n component functions is a monic nonzero monomial function in n variables. In this paper we ... More

Robust Topological Feature Extraction for Mapping of Environments using Bio-Inspired Sensor NetworksOct 17 2014In this paper, we exploit minimal sensing information gathered from biologically inspired sensor networks to perform exploration and mapping in an unknown environment. A probabilistic motion model of mobile sensing nodes, inspired by motion characteristics ... More

Type II Migration: Varying Planet Mass and Disc ViscosityJul 03 2008This paper continues an earlier study of giant planet migration, examining the effect of planet mass and disc viscosity on the migration rate. We find that the migration rate of a gap-opening planet varies systematically with the planet's mass, as predicted ... More

Giant Planet Migration in Viscous Power-Law DiscsApr 03 2007Many extra-solar planets discovered over the past decade are gas giants in tight orbits around their host stars. Due to the difficulties of forming these `hot Jupiters' in situ, they are generally assumed to have migrated to their present orbits through ... More

Drops on an inclined heterogeneous substrate: onset of sliding motionMar 08 2006Pinning and depinning of drops on an inclined heterogeneous substrate is studied as a function of the inclination and heterogeneity amplitude. Two types of heterogeneity are considered: a hydrophobic defect that blocks the droplet in front, and a hydrophilic ... More

Fractional Iteration of Series and TransseriesFeb 11 2010We investigate compositional iteration of fractional order for transseries. For any large positive transseries $T$ of exponentiality 0, there is a family $T^{[s]}$ indexed by real numbers $s$ corresponding to teration of order $s$. It is based on Abel's ... More

Canonical representatives for residue classes of a polynomial ideal and orthogonalityJun 13 2007The aim of this paper is to unveil an unexpected relationship between the normal form of a polynomial with respect to a polynomial ideal and the more geometric concept of orthogonality. We present a new way to calculate the normal form of a polynomial ... More

Constraints on the induced gravitational wave background from primordial black holesDec 21 2010Mar 31 2011We perform a consistent calculation of primordial black hole (PBH) mass spectrum and second-order induced gravitational wave (GW) background produced from primordial scalar perturbations in radiation era of the early Universe. It is shown that the maximal ... More

Trapping effects in inflation: blue spectrum at small scalesNov 19 2015Jul 07 2016We consider the inflationary model in which the inflaton $\phi$ couples to another scalar field $\chi$ via the interaction $g^2(\phi-\phi_0)^2\chi^2$ with a small coupling constant $g$ ($g^2 \sim 10^{-7}$). We assume that there is a sequence of "trapping ... More

Triezenberg-Zwanzig expression for the surface tension of a liquid dropMay 01 2013Formulas, analogous to the Triezenberg-Zwanzig expression for the surface tension of a planar interface, are presented for the Tolman length, the bending rigidity, and the rigidity constant associated with Gaussian curvature. These expressions feature ... More

The existence of a bending rigidity for a hard sphere liquid near a curved hard wall: Helfrich or Hadwiger?Jan 16 2013In the context of Rosenfeld's Fundamental Measure Theory, we show that the bending rigidity is not equal to zero for a hard-sphere fluid in contact with a curved hard wall. The implication is that the Hadwiger Theorem does not hold in this case and the ... More

An alternative approach to viscosity in an accretion discSep 27 2006Oct 02 2006Purely hydrodynamic numerical experiments into the evolution of astrophysical discs typically include some sort of viscosity in order to cause accretion. In this paper, we demonstrate an alternative method of implementing viscous forces, with extremely ... More

High-Dimensional Asymptotics of Prediction: Ridge Regression and ClassificationJul 10 2015Nov 04 2015We provide a unified analysis of the predictive risk of ridge regression and regularized discriminant analysis in a dense random effects model. We work in a high-dimensional asymptotic regime where $p, n \to \infty$ and $p/n \to \gamma \in (0, \, \infty)$, ... More

Accelerating Alternating Least Squares for Tensor Decomposition by Pairwise PerturbationNov 26 2018Jan 05 2019The alternating least squares algorithm for CP and Tucker decomposition is dominated in cost by the tensor contractions necessary to set up the quadratic optimization subproblems. We introduce a novel family of algorithms that uses perturbative corrections ... More

Perfect energy-feeding into strongly coupled systems and interferometric control of polariton absorptionMay 28 2016The ability to feed energy into a system, or - equivalently - to drive that system with an external input is a fundamental aspect of light-matter interaction. The key concept in many photonic applications is the "critical coupling" condition: at criticality, ... More

New infrared star clusters in the Northern and Equatorial Milky Way with 2MASSApr 22 2003We carried out a survey of infrared star clusters and stellar groups on the 2MASS J, H and K_s all-sky release Atlas in the Northern and Equatorial Milky Way (350 < l < 360, 0 < l < 230). The search in this zone complements that in the Southern Milky ... More

Correlations between bulk parameters in relativistic and nonrelativistic hadronic mean-field modelsJul 21 2015In this work, we study the arising of correlations among some isoscalar ($K_o$, $Q_o$, and $I_o$) and isovector ($J$, $L_o$, $K_{sym}^o$, $Q_{sym}^o$, and $I_{sym}^o$) bulk parameters in nonrelativistic and relativistic hadronic mean-field models. For ... More

Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyondSep 17 2014By using point-coupling versions of finite range nuclear relativistic mean field models containing cubic and quartic self interactions in the scalar field $\sigma$, a nonrelativistic limit is achieved. This approach allows an analytical expression for ... More

Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parametersDec 04 2013We show that the magnitude of the order parameters in Polyakov-Nambu-Jona-Lasinio (PNJL) model, given by the quark condensate and the Polyakov loop, can be used as a criterium to clearly identify, without ambiguities, phases and boundaries of the strongly ... More

The Partition Function for an Anyon-Like OscillatorOct 13 1994We compute the partition function of an anyon-like harmonic oscillator. The well known results for both the bosonic and fermionic oscillators are then reobtained as particular cases as ours. The technique we employ is a non-relativistic version of the ... More

New remarks on the linear constraint self-dual boson and Wess-Zumino termsMar 21 2001May 22 2001In this work we prove in a precise way that the soldering formalism can be applied to the Srivastava chiral boson (SCB), in contradiction with some results appearing in the literature. We have promoted a canonical transformation that shows directly that ... More

New possibilities for the gauging of chiral bosonsNov 18 2002We study a new mechanism for the electromagnetic gauging of chiral bosons showing that new possibilities emerge for the interacting theory of chiral scalars. We introduce a chirally coupled gauge field necessary to mod out the degree of freedom that obstructs ... More

Remarks on supersymmetry of quantum systems with position-dependent effective massesJun 10 2003We apply the supersymmetry approach to one-dimensional quantum systems with spatially-dependent mass, by including their ordering ambiguities dependence. In this way we extend the results recently reported in the literature. Furthermore, we point out ... More