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Reorientation of Sputnik Planitia implies a Subsurface Ocean on PlutoMar 13 2019The deep nitrogen-covered Sputnik Planitia (SP; informal name) basin on Pluto is located very close to the longitude of Pluto's tidal axis[1] and may be an impact feature [2], by analogy with other large basins in the solar system[3,4]. Reorientation[5-7] ... More

Mean radius and shape of Pluto and Charon from New Horizons imagesMar 02 2016Jun 22 2016Approach images taken by the LORRI imaging system during the New Horizons spacecraft encounter have been used to determine the mean radii and shapes of Pluto and Charon. The primary observations are limb locations derived using three independent approaches. ... More

Infrared dynamic polarizability of HD+ rovibrational statesJun 07 2011A calculation of dynamic polarizabilities of rovibrational states with vibrational quantum number $v=0-7$ and rotational quantum number $J=0,1$ in the 1s$\sigma_g$ ground-state potential of HD$^+$ is presented. Polarizability contributions by transitions ... More

A numerical approach to Blow-up issues for dispersive perturbations of Burgers' equationJan 07 2014Jan 19 2014We provide a detailed numerical study of various issues pertaining to the dynamics of the Burgers equation perturbed by a weak dispersive term: blow-up in finite time versus global existence, nature of the blow-up, existence for "long" times, and the ... More

Dynamic Ordering and Transverse Depinning of a Driven Elastic String in a Disordered MediaMar 05 2001We examine the dynamics of an elastic string interacting with quenched disorder driven perpendicular and parallel to the string. We show that the string is the most disordered at the depinning transition but with increasing drive partial ordering is regained. ... More

A rigidity result on the ideal boundary structure of smooth space-timesJun 17 1998Following a survey of the abstract boundary definition of Scott and Szekeres, a rigidity result is proved for the smooth case, showing that the topological structure of the regular part of this boundary in invariantly defined.

Pion and kaon parton distribution functions in a meson cloud modelOct 30 2002In a model of hadrons in which the hadron wave function at low $Q^2$ is represented by a hadron-like Fock state expansion, we calculate the $\pi$ and $K$ parton distribution functions by comparing to experimental data. We show that the model gives an ... More

A finite element exterior calculus framework for the rotating shallow-water equationsJul 13 2012Aug 19 2013We describe discretisations of the shallow water equations on the sphere using the framework of finite element exterior calculus, which are extensions of the mimetic finite difference framework presented in Ringler, Thuburn, Klemp, and Skamarock (Journal ... More

Mixed finite elements for numerical weather predictionMar 12 2011Apr 25 2012We show how two-dimensional mixed finite element methods that satisfy the conditions of finite element exterior calculus can be used for the horizontal discretisation of dynamical cores for numerical weather prediction on pseudo-uniform grids. This family ... More

Long Range Forces from the Cosmological Neutrino BackgroundJun 03 1993The cosmological neutrino background will mediate long range forces between objects. For a background of temperature T, the potential decreases as 1/r^5 for r >> 1/T and as 1/r for r << 1/T. These forces have large spin-dependent components. If the neutrino ... More

Mode-Matching Technique for Transmission Calculations in Electron Waveguides at High Magnetic FieldsApr 27 1993In this paper we present a mode-matching technique to study the transmission coefficient of mesoscopic devices such as electron waveguides in the presence of high magnetic fields for different situations. A detailed study of the difficulties rising due ... More

Zigzag Filamentary Theory of Broken Symmetry of Neutron and Infrared Vibronic Spectra of YBa2Cu3O(6+x)Mar 07 2001Filamentary high-temperature superconductivity (HTSC) theory differs fundamentally from continuous HTSC theories because it emphasizes self-organized, discrete dopant networks and does not make the effective medium approximation (EMA). Analysis of neutron ... More

Nanodomain Structure and Function in HTSCFeb 14 2001Feb 16 2001The causes of high-temperature superconductivity (HTSC) are still mysterious, although more than 50,000 experiments have studied this subject. The most severe test of any microscopic theory is generally considered to be its ability to predict the results ... More

Molecular Dynamics Simulation of Shear Moduli for Coulomb CrystalsDec 15 2008Torsional (shear) oscillations of neutron stars may have been observed in quasiperiodic oscillations of Magnetar Giant Flares. The frequencies of these modes depend on the shear modulus of neutron star crust. We calculate the shear modulus of Coulomb ... More

Multi-Hamiltonian structures for r-matrix systemsNov 29 2002For the rational, elliptic and trigonometric r-matrices, we exhibit the links between three "levels" of Poisson spaces: (a) Some finite-dimensional spaces of matrix-valued holomorphic functions on the complex line; (b) Spaces of spectral curves and sheaves ... More

The Quantum Compass Model on the Square and Simple Cubic LatticesOct 19 2010We use high-temperature series expansions to obtain thermodynamic properties of the quantum compass model, and to investigate the phase transition on the square and simple cubic lattices. On the square lattice we obtain evidence for a phase transition, ... More

The Age of the Galaxy from Thorium CosmochronometryAug 11 2000The long-lived radioactive element thorium can potentially provide a simple and direct clock to determine the age of our Galaxy. Spectroscopic investigations of thorium in metal-poor stars have yielded some promising initial results. We discuss the major ... More

Supernovae as a probe of particle physics and cosmologyNov 27 2001Jun 03 2002It has very recently been demonstrated by Csaki, Kaloper and Terning (CKT) that the faintness of supernovae at high redshift can be accommodated by mixing of a light axion with the photon in the presence of an intergalactic magnetic field, as opposed ... More

Hadron Structure with Dimuon ProductionJul 22 2008Dimuon production has been studied in a series of fixed-target experiments at Fermilab during the last two decades. Highlights from these experiments, together wih recent results from the Fermilab E866 experiment, are presented. Future prospects for studying ... More

Mixtures of Gaussian process priorsNov 30 1999Nonparametric Bayesian approaches based on Gaussian processes have recently become popular in the empirical learning community. They encompass many classical methods of statistics, like Radial Basis Functions or various splines, and are technically convenient ... More

Deforming regular black holesAug 27 2015Aug 04 2016In this work we have deformed regular black holes which possess a general mass term described by a function which generalizes the Bardeen and Hayward mass functions. By using linear constraints in the energy-momentum tensor to generate metrics, the solutions ... More

Fourier law in a momentum-conserving chainFeb 20 2005May 11 2005We introduce a family of Hamiltonian models for heat conduction with and without momentum conservation. They are analytically solvable in the high temperature limit and can also be efficiently simulated. In all cases Fourier law is verified in one dimension. ... More

Atomic kinetic energy, momentum distribution and structure of solid neon at zero-temperatureJan 07 2008We report on the calculation of the ground-state atomic kinetic energy, $E_{k}$, and momentum distribution of solid Ne by means of the diffusion Monte Carlo method and Aziz HFD-B pair potential. This approach is shown to perform notably for this crystal ... More

Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe latticesDec 25 2012The spin-1/2 Ising-Heisenberg model on diamond-like decorated Bethe lattices is exactly solved in the presence of the longitudinal magnetic field by combining the decoration-iteration mapping transformation with the method of exact recursion relations. ... More

On the future infimum of positive self-similar Markov processesApr 05 2006We establish integral tests and laws of the iterated logarithm for the upper envelope of the future infimum of positive self-similar Markov processes and for increasing self-similar Markov processes at 0 and infinity. Our proofs are based on the Lamperti ... More

Analytical modeling of large-angle CMBR anisotropies from texturesApr 12 1995Apr 13 1995We propose an analytic method for predicting the large angle CMBR temperature fluctuations induced by model textures. The model makes use of only a small number of phenomenological parameters which ought to be measured from simple simulations. We derive ... More

Compressing totally geodesic surfacesNov 16 2000In this paper we prove that one can find surgeries arbitrarily close to infinity in the Dehn surgery space of the figure eight knot complement for which some immersed totally geodesic surface compresses.

Lattice study of sphaleron transitions in a 2D O(3) sigma modelJan 27 1993A lattice approach is developed to measure the sphaleron free energy. Its feasibility is demonstrated through a Monte Carlo study of the two-dimensional O(3) sigma model.

Quantifying galactic clustering and departures from randomness of the inter-galactic void probability function using information geometryAug 24 2006We study a family of parametric statistical models based on gamma distributions, which do give realistic descriptions for other stochastic porous media. Gamma distributions contain as a special case the exponential distributions, which correspond to the ... More

Information geometry for testing pseudorandom number generatorsJul 10 2009The information geometry of the 2-manifold of gamma probability density functions provides a framework in which pseudorandom number generators may be evaluated using a neighbourhood of the curve of exponential density functions. The process is illustrated ... More

On the semi-dynamical reflection equation: solutions and structure matricesJul 20 2007Nov 27 2007Explicit solutions of the non-constant semi-dynamical reflection equation are constructed, together with suitable parametrizations of their structure matrices. Considering the semi-dynamical reflection equation with rational non-constant Arutyunov-Chekhov-Frolov ... More

CP violation effects on the neutrino degeneracy parameters in the Early UniverseFeb 04 2010We explore possible CP violating effects, coming from the Dirac phase of the Maki-Nakagawa-Sakata-Pontecorvo matrix, on the neutrino degeneracy parameters, at the epoch of Big-Bang nucleosynthesis. We first demonstrate the conditions under which such ... More

Core-collapse supernova neutrinos and neutrino propertiesMay 18 2008Core-collapse supernovae are powerful neutrino sources. The observation of a future (extra-)galactic supernova explosion or of the relic supernova neutrinos might provide important information on the supernova dynamics, on the supernova formation rate ... More

Critical Behaviour of Structure Factors at a Quantum Phase TransitionSep 17 2008We review the theoretical behaviour of the total and one-particle structure factors at a quantum phase transition for temperature T=0. The predictions are compared with exact or numerical results for the transverse Ising model, the alternating Heisenberg ... More

Random-matrix theory of Majorana fermions and topological superconductorsJul 08 2014Apr 03 2015I. Introduction (What is new in RMT, Superconducting quasiparticles, Experimental platforms) II. Topological superconductivity (Kitaev chain, Majorana operators, Majorana zero-modes, Phase transition beyond mean-field) III. Fundamental symmetries (Particle-hole ... More

Thermodynamics of Giant Planet Formation: Shocking Hot Surfaces on Circumplanetary DisksSep 27 2016The luminosity of young giant planets can inform about their formation and accretion history. The directly imaged planets detected so far are consistent with the "hot-start" scenario of high entropy and luminosity. If nebular gas passes through a shock ... More

An ECG-SoC with 535nW/channel lossless data compression for wearable sensorsJul 19 2014This paper presents a low power ECG recording Sys-tem-on-Chip (SoC) with on-chip low complexity lossless ECG compression for data reduction in wireless/ambulatory ECG sensor devices. The proposed algorithm uses a linear slope predictor to estimate the ... More

Converging Perturbative Solutions of the Schroedinger Equation for a Two-Level System with a Hamiltonian Depending Periodically on TimeMar 24 1999We study the Schroedinger equation of a class of two-level systems under the action of a periodic time-dependent external field in the situation where the energy difference 2epsilon between the free energy levels is sufficiently small with respect to ... More

The analytic structure of heavy quark propagatorsFeb 25 1997Sep 29 1997The renormalised quark Dyson-Schwinger equation is studied in the limit of the renormalised current heavy quark mass m_R --> infinity. We are particularly interested in the analytic pole structure of the heavy quark propagator in the complex momentum ... More

Understanding the physics of oligonucleotide microarrays: the Affymetrix spike-in data reanalysedDec 06 2007Mar 07 2008The Affymetrix U95 and U133 Latin Square spike-in datasets are reanalysed, together with a dataset from a version of the U95 spike-in experiment without a complex non-specific background. The approach uses a physico-chemical model which includes the effects ... More

Test of a Jastrow-type wavefunction for a trapped few-body system in one dimensionSep 04 2012For a system with interacting quantum mechanical particles in a one-dimensional harmonic oscillator, a trial wavefunction with simple structure based on the solution of the corresponding two-particle system is suggested and tested numerically. With the ... More

Real space renormalisation for reaction-diffusion systemsMar 10 1999The stationary state of stochastic processes such as reaction-diffusion systems can be related to the ground state of a suitably defined quantum Hamiltonian. Using this analogy, we investigate the applicability of a real space renormalisation group approach, ... More

The manipulation problem in quantum mechanicsOct 26 1998We explain the meaning of dynamical manipulation, and we illustrate its mechanism by using a system composed of a charged particle in a Penning trap. It is shown that by means of appropriate electric shocks (delta-like pulses) applied to the trap walls ... More

Multigravity from a discrete extra dimensionNov 14 2003Nov 20 2003Multigravity theories are constructed from the discretization of the extra dimension of five dimensional gravity. Using an ADM decomposition, the discretization is performed while maintaining the four dimensional diffeomorphism invariance on each site. ... More

Higgs description of two-flavor QCD vacuumDec 22 2000A Higgs description for the QCD vacuum in the limit of two quark flavors is proposed. Complete ``spontaneous breaking'' of color symmetry is realized by condensation of an adjoint quark-antiquark and a quark-quark pair. The vacuum is invariant under isospin ... More

Global asymptotic solutions for non-relativistic MHD jets and windsSep 04 2003We present general and global analytical solutions, valid from pole to equator, for the asymptotic structure of non-relativistic, rotating, stationary, axisymmetric, polytropic, unconfined, perfect MHD winds. The asymptotic structure of such winds consists ... More

Comments on "Counter example to the quantum inequality"Sep 10 2004In a recent preprint, Krasnikov has claimed that to show that quantum energy inequalities (QEIs) are violated in curved spacetime situations, by considering the example of a free massless scalar field in two-dimensional de Sitter space. We show that this ... More

On the Energy Levels of the Hydrogen AtomMay 21 1993We re-examine the justification for the imposition of regular boundary conditions on the wavefunction at the Coulomb singularity in the treatment of the hydrogen atom in non-relativistic quantum mechanics. We show that the issue of the correct boundary ... More

Introduction to cosmologyDec 03 2004This text consists on a series of introductory lectures on cosmology for mathematicians and physicists who are not specialized on the subject.

How to calibrate the polarization of a high energy proton beam? A theoretical prospectNov 05 1996Nov 08 1996In view of the realistic possibility for operating high-energy polarized proton beams in future collider machines, it is highly desirable to propose for such beams, an absolute calibration allowing to measure accurately their degree of polarization. We ... More

Solitonic sectors, alpha-induction and symmetry breaking boundariesJun 22 2000Aug 12 2000We develop a systematic approach to boundary conditions that break bulk symmetries in a general way such that left and right movers are not necessarily connected by an automorphism. In the context of string compactifications, such boundary conditions ... More

Globalization and Glassy Ideality of the Web of Twentieth Century ScienceAug 23 2010Scientific communication is an essential part of modern science: whereas Archimedes worked alone, Newton (correspondence with Hooke, 1676) acknowledged that "If I have seen a little further, it is by standing on the shoulders of Giants." How is scientific ... More

Self-Organized Networks and Lattice Effects in High Temperature Superconductors II: Fermi Arc AnomaliesNov 07 2006The self-organized dopant percolative filamentary model, entirely orbital in character (no fictive spins), explains the evolution with doping of Fermi arcs observed by ARPES, including the previously unexplained abrupt transitions in quasiparticle strength ... More

Axiomatic Theories of Intermediate Phases (IP) and Ideal Stretched Exponential Relaxation (SER)May 18 2005Minimalist theories of complex systems are broadly of two kinds: mean-field and axiomatic. So far all theories of properties absent from simple systems and intrinsic to complex systems, such as IP and SER, are axiomatic. SER is the prototypical complex ... More

Why Are Cuprates the Only High-Temperature Superconductors?Feb 04 2004The heirarchical mean-field theory of elastic networks, originally developed by Maxwell to discuss the stability of scaffolds, and recently applied to atomic networks by Phillips and Thorpe, explains the phase diagrams and remarkable superconductive properties ... More

Universal Intermediate Phases of Dilute Electronic and Molecular GlassesDec 11 2001Generic intermediate phases with anomalous properties exist over narrow composition ranges adjacent to connectivity transitions. Analysis of both simple classical and complex quantum percolation shows how topological concepts can be used to understand ... More

Percolative Model for Nanoscale Phase Separation in High Temperature SuperconductorsJun 27 2001The nature of the phase diagrams of HTSC is clarified by discussing two kinds of phase diagrams, that of the host crystalline lattice, and that of the dopant glass. The latter is associated with changes in the electronic properties, while the former is ... More

Topology and the Web of Twentieth Century ScienceSep 29 2009Scientific communication is an essential part of modern science: whereas Archimedes worked alone, Newton (1676) acknowledged that "If I have seen a little further, it is by standing on the shoulders of Giants." How is scientific communication reflected ... More

High Temperature Cuprate-Like Superconductivity at Surfaces and InterfacesNov 11 2008The realization of high-transition-temperature superconductivity (HTSC) confined to nanometre-sized interfaces has been a long-standing goal because of potential applications and the opportunity to study quantum phenomena in reduced dimensions. Here we ... More

Reversibility, Water-Mediated Switching, and Directed Cell DynamicsMar 02 2008Reversible switching of the complex network dynamics of proteins is mimicked in selected network glasses and compacted small carbohydrate molecules. Protein transitions occur on long time scales ~ us -ms, evocative of the exponentially large viscosities ... More

Self-Organized Networks and Lattice Effects in High Temperature SuperconductorsMay 09 2006The entirely orbital self-organized dopant percolative filamentary model describes many counter-intuitive chemical trends in oxide superconductors quantitatively, especially the high superconductive transition temperatures Tc. According to rules previously ... More

Bioinformatic Scaling of Allosteric Interactions in Biomedical IsozymesOct 19 2015Allosteric (long-range) interactions can be surprisingly strong in proteins of biomedical interest. Here we use bioinformatic scaling to connect prior results on nonsteroidal anti-inflammatory drugs to promising new drugs that inhibit cancer cell metabolism. ... More

Symmetry and Integrability of Classical Field EquationsMar 26 2008May 14 2008A number of characteristics of integrable nonlinear partial differential equations (PDE's) for classical fields are reviewed, such as Backlund transformations, Lax pairs, and infinite sequences of conservation laws. An algebraic approach to the symmetry ... More

Foundations of Newtonian Dynamics: An Axiomatic Approach for the Thinking StudentMay 10 2012Jun 19 2012Despite its apparent simplicity, Newtonian Mechanics contains conceptual subtleties that may cause some confusion to the deep-thinking student. These subtleties concern fundamental issues such as, e.g., the number of independent laws needed to formulate ... More

Heavy meson chiral perturbation theory in finite volumeSep 14 2004We present the first step towards the estimation of finite volume effects in heavy-light meson systems using heavy meson chiral perturbation theory. We demonstrate that these effects can be amplified in both light-quark and heavy-quark mass extrapolations ... More

The formation of extreme mass ratio binary stars: a tribute to Eduardo De lgado DonateJul 06 2007Eduardo Delgado was due to have presented a poster at this meeting on his latest results on the formation of extreme mass ratio binaries. Tragically, Eduardo was among those killed in a hiking accident in Tenerife earlier this year. As his PhD supervisor, ... More

Quantitative structure of stable sets in finite abelian groupsMay 17 2018We prove an arithmetic regularity lemma for stable subsets of finite abelian groups, generalising our previous result for high-dimensional vector spaces over finite fields of prime order. A qualitative version of this generalisation was recently obtained ... More

Searching for heavy neutrinos with WWH productionFeb 14 2019Extensions of the Standard Model are required to give mass to the light neutrinos and explain neutrino oscillations. One of the simplest ideas is to introduce new heavy, gauge singlet fermions that play the role of right-handed neutrinos in a seesaw mechanism. ... More

Properties of the Intrinsic Flat DistanceOct 15 2012Jun 17 2015Here we explore a variety of properties of intrinsic flat convergence. We introduce the sliced filling volume and interval sliced filling volume and explore the relationship between these notions, the tetrahedral property and the disappearance of points ... More

Skew cell modules for diagram algebrasMay 11 2016Jun 17 2016We provide an explicit construction of skew cell modules for diagram algebras.

Inverse monoids associated with the complexity class NPMar 07 2017We study the P versus NP problem through properties of functions and monoids, continuing the work of [3]. Here we consider inverse monoids whose properties and relationships determine whether P is different from NP, or whether injective one-way functions ... More

Probabilistic Planning via Heuristic Forward Search and Weighted Model CountingOct 31 2011We present a new algorithm for probabilistic planning with no observability. Our algorithm, called Probabilistic-FF, extends the heuristic forward-search machinery of Conformant-FF to problems with probabilistic uncertainty about both the initial state ... More

Bounded homotopy theory and the $K$-theory of weighted complexesFeb 02 2011Mar 11 2011Given a bounding class $B$, we construct a bounded refinement $BK(-)$ of Quillen's $K$-theory functor from rings to spaces. $BK(-)$ is a functor from weighted rings to spaces, and is equipped with a comparison map $BK \to K$ induced by "forgetting control". ... More

Quantum capacitor with discrete charge-anticharge: spectrum and forcesNov 03 2009The quantum capacitor with discrete charge is modeled by a Hamiltonian containing an inductive intrinsic term (tunnel effect between plates). The spectrum is obtained using a double Hilbert space. Fluctuations in the charge-anticharge pairs (zero total ... More

Comment on "quantum theory for mesosocopic electric circuits". Cond-mat/9907171 and cond-mat/9606206Aug 01 1999In references cond-mat/9907171 and cond-mat/9606206 (Phys.Rev.B.53, 4927 (1996)) by You-Quan Li and Bin Chen, was considered a mesoscopic LC circuit with charge discreteness. So, it was proposed a finite difference Schroedinger equation for the charge ... More

An axiomatic theory for interaction between species in ecology: Gause's exclusion conjectureNov 20 2006I introduce an axiomatic representation, called ecoset, to consider interactions between species in ecological systems. For interspecific competition, the exclusion conjecture (Gause) is put in a symbolic way and used as a basic operational tool to consider ... More

A review of some recent work on hypercyclicityNov 19 2012Even linear operators on infinite-dimensional spaces can display interesting dynamical properties and yield important links among functional analysis, differential and global geometry and dynamical systems, with a wide range of applications. In particular, ... More

Some recent work in Frechet geometrySep 20 2011Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could ... More

Riemannian Metrics on Locally Projectively Flat ManifoldsAug 30 2001The expression (-1/u) times the Hessian of u transforms as a symmetric (0,2) tensor under projective coordinate transformations, so long as u transforms as a section of a certain line bundle. On a locally projectively flat manifold M, the section u can ... More

Invariants associated with linear ordinary differential equationsJun 26 2008We apply a novel method for the equivalence group and its infinitesimal generators to the investigation of invariants of linear ordinary differential equations. First, a comparative study of this method is illustrated by an example. Next, the method is ... More

D-brane conformal field theory and bundles of conformal blocksApr 06 2000Conformal blocks form a system of vector bundles over the moduli space of complex curves with marked points. We discuss various aspects of these bundles. In particular, we present conjectures about the dimensions of sub-bundles. They imply a Verlinde ... More

Homotopy Invariant Commutative Algebra over fieldsJan 11 2016These notes illustrates the power of formulating ideas of commutative algebra in a homotopy invariant form. They can then be applied to derived categories of rings or ring spectra. These ideas are powerful in classical algebra, in representation theory ... More

Symmetry and Integrability of a Reduced, 3-Dimensional Self-Dual Gauge Field ModelMar 21 2011A 3-dimensional reduction of the seld-dual Yang-Mills (SDYM) equation, named SDYM3, is examined from the point of view of its symmetry and integrability characteristics. By using a non-auto-Backlund transformation, this equation is connected to its potential ... More

Comment on Phys.Rev. Lett. {\bf 122}, 084501 (2019) by A. Esposito, R. Krichevsky and A. NicolisApr 10 2019This is a comment on the PRL: Gravitational mass $M$ carried by sound waves by A. Esposito, R. Krichevsky and A. Nicolis, Phys.Rev. Lett. {\bf 122}, 084501 (2019).

Is there a standard measuring rod in the Universe?Oct 21 2008The Caltech-Jodrell Bank very long baseline interferometry (VLBI) Surveys give detailed 5 GHz VLBI images of several hundred milliarcsecond (mas) radio sources, and the full width at half-maximum angular sizes of the corresponding compact cores. Using ... More

Determining the Rolle function in Lagrange interpolatory approximationOct 22 2018We determine the Rolle function in Lagrange polynomial approximation using a suitable differential equation. We then propose a device for improving the Lagrange approximation by exploiting our knowledge of the Rolle function.

IST versus PDE, a comparative studySep 06 2014Sep 09 2014We survey and compare, mainly in the two-dimensional case, various results obtained by IST and PDE techniques for integrable equations. We also comment on what can be predicted from integrable equations on non integrable ones.

Transverse depinning in strongly driven vortex lattices with disorderOct 02 1999Using numerical simulations we investigate the transverse depinning of moving vortex lattices interacting with random disorder. We observe a finite transverse depinning barrier for vortex lattices that are driven with high longitudinal drives, when the ... More

On finite range stable type concentrationDec 16 2004The purpose of these notes is to further complete our understanding of the stable concentration phenomenon, by obtaining the finite range behavior of $P(F-E[F]\geq x)$, with $F=f(X)$ where $f$ is a Lipschitz function and $X$ is a stable random vector ... More

Pair creation of particles and black holes in external fieldsJun 26 2001It is well known that massive black holes may form through the gravitational collapse of a massive astrophysical body. Less known is the fact that a black hole can be produced by the quantum process of pair creation in external fields. These black holes ... More

Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation Part II. Numerical ResultsJul 01 1993Jul 07 1993A new and very general technique for simulating solid-fluid suspensions has been described in a previous paper (Part I); the most important feature of the new method is that the computational cost scales with the number of particles. In this paper (Part ... More

Particle-hole configuration interaction and many-body perturbation theory: application to Hg+May 26 2016The combination of configuration interaction and many-body perturbation theory methods (CI+MBPT) is extended to non-perturbatively include configurations with electron holes below the designated Fermi level, allowing us to treat systems where holes play ... More

Bringing order to the expanding fermion zooAug 15 2016Crystallography provides an inventory of the electron-like particles that emerge in a lattice world. Perspective for Science on arXiv:1603.03093

Einstein contra Aristotle: the sound from the heavensApr 29 2016In "On the Heavens" Aristotle criticizes the Pythagorean point of view which claims the existence of a cosmic music. According to the Pythagorean argument, there exists a cosmic music produced by stars and planets. These celestial bodies generate sound ... More

Giant Magneto-Impedance and its ApplicationsAug 08 2002Apr 03 2003The status of Giant Magneto-Impedance effect is reviewed in Wires, Ribbons and Multilayered Soft Ferromagnetic Thin Films. After establishing the theoretical framework for the description of the effect, and the constraints any material should have in ... More

Supersymmetrically transformed periodic potentialsJan 16 2003Jan 20 2003The higher order supersymmetric partners of a stationary periodic potential are studied. The transformation functions associated to the band edges do not change the spectral structure. However, when the transformation is implemented for factorization ... More

New hydrogen-like potentialsJun 26 2000Using the modified factorization method introduced by Mielnik, we construct a new class of radial potentials whose spectrum for l=0 coincides exactly with that of the hydrogen atom. A limiting case of our family coincides with the potentials previously ... More

Geometric Phases and Mielnik's Evolution LoopsOct 27 1994The cyclic evolutions and associated geometric phases induced by time-independent Hamiltonians are studied for the case when the evolution operator becomes the identity (those processes are called {\it evolution loops}). We make a detailed treatment of ... More

The effect of the ultraviolet part of the gluon propagator on the heavy quark propagatorJul 21 1998Nov 03 1998We revisit our recently proposed formalism for dealing with the heavy quark limit of the quark Dyson-Schwinger equation. An ambiguity inherent in the original version of method is identified and resolved. Our reanalysis illustrates the importance of correctly ... More

Open Heavy Flavor Production in Heavy Ion CollisionsJul 27 2009Sep 14 2009The interaction of heavy partons, charm and beauty, with the matter created in heavy ion collisions has been of great interest in recent years. Heavy partons were predicted to interact less strongly with the matter than light partons. In apparent contrast ... More