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Versatile Hall magnetometer with variable sensitivity assembly for characterization of the magnetic properties of nanoparticlesMay 14 2019A Hall magnetometer with variable sensitivity is constructed to measure the magnetic properties of magnetic nanoparticles manufactured by different methods. This novel magnetometer can also be used to measure bulk materials and samples in liquids. The ... More

Fluid Particle Accelerations in Fully Developed TurbulenceNov 08 2000The motion of fluid particles as they are pushed along erratic trajectories by fluctuating pressure gradients is fundamental to transport and mixing in turbulence. It is essential in cloud formation and atmospheric transport, processes in stirred chemical ... More

Measurement of Particle Accelerations in Fully Developed TurbulenceOct 08 2001Dec 03 2001We use silicon strip detectors (originally developed for the CLEO III high energy particle physics experiment) to measure fluid particle trajectories in turbulence with temporal resolution of up to 70,000 frames per second. This high frame rate allows ... More

From jamming to collective cell migration through a boundary induced transitionFeb 21 2018Cell monolayers provide an interesting example of active matter, exhibiting a phase transition from a flowing to jammed state as they age. Here we report experiments and numerical simulations illustrating how a jammed cellular layer rapidly reverts to ... More

Cholesterol impairment contributes to neuroserpin aggregationMay 15 2017Intraneural accumulation of misfolded proteins is a common feature of several neurodegenerative pathologies including Alzheimer's and Parkinson's diseases, and Familial Encephalopathy with Neuroserpin Inclusion Bodies (FENIB). FENIB is a rare disease ... More

TeamPhone: Networking Smartphones for Disaster RecoveryJun 10 2016Mar 26 2017In this paper, we investigate how to network smartphones for providing communications in disaster recovery. By bridging the gaps among different kinds of wireless networks, we have designed and implemented a system called TeamPhone, which provides smartphones ... More

Cooperative Data Offload in Opportunistic Networks: From Mobile Devices to InfrastructureJun 10 2016Mar 26 2017Opportunistic mobile networks consisting of intermittently connected mobile devices have been exploited for various applications, such as computational offloading and mitigating cellular traffic load. In contrast to existing work, in this paper, we focus ... More

Mechanical Properties of Growing Melanocytic Nevi and the Progression to MelanomaApr 16 2014Melanocytic nevi are benign proliferations that sometimes turn into malignant melanoma in a way that is still unclear from the biochemical and genetic point of view. Diagnostic and prognostic tools are then mostly based on dermoscopic examination and ... More

Universal statistics of epithelial tissue topologyOct 23 2017Cells forming various epithelial tissues have a strikingly universal distribution for the number of their edges. It is generally assumed that this topological feature is predefined by the statistics of individual cell divisions in growing tissue but existing ... More

Modeling the Resource Requirements of Convolutional Neural Networks on Mobile DevicesSep 27 2017Convolutional Neural Networks (CNNs) have revolutionized the research in computer vision, due to their ability to capture complex patterns, resulting in high inference accuracies. However, the increasingly complex nature of these neural networks means ... More

CXCR6, a Newly Defined Biomarker of Tissue-Specific Stem Cell Asymmetric Self-Renewal, Identifies More Aggressive Human Melanoma Cancer Stem CellsAug 28 2013Background: A fundamental problem in cancer research is identifying the cell type that is capable of sustaining neoplastic growth and its origin from normal tissue cells. Recent investigations of a variety of tumor types have shown that phenotypically ... More

Overshoot during phenotypic switching of cancer cell populationsOct 27 2015The dynamics of tumor cell populations is hotly debated: do populations derive hierarchically from a subpopulation of cancer stem cells (CSCs), or are stochastic transitions that mutate differentiated cancer cells to CSCs important? Here we argue that ... More

Bursts of activity in collective cell migrationOct 25 2016Dense monolayers of living cells display intriguing relaxation dynamics, reminiscent of soft and glassy materials close to the jamming transition, and migrate collectively when space is available, as in wound healing or in cancer invasion. Here we show ... More

An observational test for correlations between cosmic rays and magnetic fieldsMay 02 2012Sep 19 2013We derive the magnitude of fluctuations in total synchrotron intensity in the Milky Way and M33, from both observations and theory under various assumption about the relation between cosmic rays and interstellar magnetic fields. Given the relative magnitude ... More

Khintchine types of translated coordinate hyperplanesMay 28 2014Jan 14 2015There has been great interest in developing a theory of "Khintchine types" for manifolds embedded in Euclidean space, and considerable progress has been made for curved manifolds. We treat the case of translates of coordinate hyperplanes, decidedly flat ... More

Exact equilibrium state for pair plasmas near the horizon of a Schwarzschild black holeAug 27 2018Mar 04 2019A pair plasma in hidrostatic equilibrium near the horizon of a Schwarzschild black hole is an exact state. In this work, we show that an exact non--hidrostatic equilibrium state can be sustained for a pair plasma, in which its constituents are moving ... More

Counterexamples, covering systems, and zero-one laws for inhomogeneous approximationAug 18 2015Sep 21 2016We develop the inhomogeneous counterpart to some key aspects of the story of the Duffin--Schaeffer Conjecture (1941). Specifically, we construct counterexamples to a number of candidates for a sans-monotonicity version of Szusz's inhomogeneous (1958) ... More

Polarized synchrotron emissionJul 20 2006Galactic synchrotron emission represents the most relevant foreground contamination in cosmic microwave background (CMB) anisotropy observations at angular scales $\theta \gsim 1^\circ$ and frequencies $\nu \lsim 70$ GHz. The accurate understanding of ... More

Comparison results for derived Deligne-Mumford stacksJul 02 2015In this short note we write down a comparison between the notion of derived Deligne-Mumford stack in the sense of B. To\"en and G. Vezzosi [HAG-II] and the one introduced by J. Lurie in [DAG-V]. It is folklore that the two theories yield essentially the ... More

The Popescu-Gabriel theorem for triangulated categoriesJun 29 2007Feb 15 2008The Popescu-Gabriel theorem states that each Grothendieck abelian category is a localization of a module category. In this paper, we prove an analogue where Grothendieck abelian categories are replaced by triangulated categories which are well generated ... More

Universal property of triangulated derivators via Keller's towersDec 08 2015Apr 19 2017In his thesis B. Keller solved the universal problem of the extension of an exact category to its (bounded) derived category by introducing the notions of tower of exact and triangulated categories and proving the universal property in this setting. In ... More

Recurrence to shrinking targets on typical self-affine fractalsSep 26 2014Oct 19 2015We explore the problem of finding the Hausdorff dimension of the set of points that recur to shrinking targets on a self-affine fractal. To be exact, we study the dimension of a certain related symbolic recurrence set. In many cases this set is equivalent ... More

A class of compact Poincare-Einstein manifolds: properties and constructionAug 15 2008We develop a geometric and explicit construction principle that generates classes of Poincare-Einstein manifolds, and more generally almost Einstein manifolds. Almost Einstein manifolds satisfy a generalisation of the Einstein condition; they are Einstein ... More

A sub-product construction of Poincare-Einstein metricsAug 02 2006Dec 21 2006Given any two Einstein (pseudo-)metrics, with scalar curvatures suitably related, we give an explicit construction of a Poincar\'e-Einstein (pseudo-)metric with conformal infinity the conformal class of the product of the initial metrics. We show that ... More

Thermal-inertial effects on magnetic reconnection in relativistic pair plasmasFeb 05 2014Jul 07 2014The magnetic reconnection process is studied in relativistic pair plasmas when the thermal and inertial properties of the magnetohydrodynamical fluid are included. We find that in both Sweet-Parker and Petschek relativistic scenarios there is an increase ... More

ATLAS IBL Pixel UpgradeApr 11 2011The upgrade for ATLAS detector will undergo different phase towards super-LHC. The first upgrade for the Pixel detector will consist of the construction of a new pixel layer which will be installed during the first shutdown of the LHC machine (LHC phase-I ... More

New non-Noetherian Symmetries and Multi-Hamiltonian Structures for the Toda LatticeJun 09 2009New symmetry transformations for the n-dimensional Toda lattice are presented. Their existence allows for the construction of several first order Lagrangian structures associated to them. The multi-Hamiltonian structures are derived from Lagrangians in ... More

Spinning particles coupled to gravityOct 27 2016Recent experimental work has determined that free falling $^{87}$Rb atoms on Earth, with vertically aligned spins, follow geodesics, thus apparently ruling out spin--gravitation interactions. It is showed that while some spinning matter models coupled ... More

Electromagnetic redshift in anisotropic cosmologiesJan 16 2018May 08 2018The redshift of light is calculated for an anisotropic cosmological spacetime. Two different approaches are considered. In the first one, electromagnetic waves are modeled using the geometrical optics (high--frequency) approximation. This approach considers ... More

NGC 765 - A disturbed H I giantJun 16 2010We present Hi spectral line and radio-continuum VLA data of the galaxy NGC 765, complemented by optical and Chandra X-ray maps. NGC 765 has the largest Hi-to-optical ratio known to date of any spiral galaxy and one of the largest known Hi discs in absolute ... More

The Sato-Tate Distribution in Thin Parametric Families of Elliptic CurvesSep 10 2015Mar 07 2018We obtain new results concerning the Sato-Tate conjecture on the distribution of Frobenius traces over single and double parametric families of elliptic curves. We consider these curves for values of parameters having prescribed arithmetic structure: ... More

Characterization of the errors of the FMM in particle simulationsSep 10 2008The Fast Multipole Method (FMM) offers an acceleration for pairwise interaction calculation, known as $N$-body problems, from $\mathcal{O}(N^2)$ to $\mathcal{O}(N)$ with $N$ particles. This has brought dramatic increase in the capability of particle simulations ... More

Supersymmetric Majorana Quantum CosmologiesJun 09 2015Oct 20 2015The Einstein equations for an isotropic and homogeneous Friedmann--Robertson--Walker Universe in the presence of a quintessence scalar field are shown to be described in a unified way, formally identical to the dynamics of a relativistic particle moving ... More

Do electromagnetic waves always propagate along null geodesics?Aug 23 2016Sep 08 2017We find exact solutions to Maxwell equations written in terms of four-vector potentials in non--rotating, as well as in G\"odel and Kerr spacetimes. We show that Maxwell equations can be reduced to two uncoupled second-order differential equations for ... More

Non--geodesic circular motion of massive spinning test bodiesMar 11 2018Oct 03 2018Recent interest on studying possible violations of the Equivalence Principle has led to the development of space satellite missions testing it for bodies moving on circular orbits around Earth. This experiment establishes that the validity of the Equivalence ... More

Correspondence between dark energy quantum cosmology and Maxwell equationsMay 20 2019A Friedmann-Robertson-Walker cosmology with dark energy can be modelled using a quintessence field. That system is equivalent to a relativistic particle moving on a two-dimensional conformal spacetime. The quantized version of that theory can lead to ... More

On neutron stars in f(R) theories: small radii, large masses and large energy emitted in a mergerFeb 11 2016Sep 13 2016In the context of f(R) gravity theories, we show that the apparent mass of a neutron star as seen from an observer at infinity is numerically calculable but requires careful matching, first at the star's edge, between interior and exterior solutions, ... More

Algoritmos Genéticos Aplicado ao Problema de Roteamento de VeículosAug 31 2018Routing problems are often faced by companies who serve costumers through vehicles. Such problems have a challenging structure to optimize, despite the recent advances in combinatorial optimization. The goal of this project is to study and propose optimization ... More

Birefringent light propagation on anisotropic cosmological backgroundsMar 07 2017Jul 27 2017Exact electromagnetic wave solutions to Maxwell equations on anisotropic Bianchi I cosmological spacetime backgrounds are studied. The waves evolving on Bianchi I spacetimes exhibit birefringence (associated to linear polarization) and dispersion. The ... More

New non-linear modified massless Klein--Gordon equationJul 06 2017The massless Klein--Gordon equation on arbitrary curved backgrounds allows for solutions which develop "tails" inside the light cone and, therefore, do not strictly follow null geodesics as discovered by DeWitt and Brehme almost sixty years ago. A modification ... More

A Very Heavy Sneutrino as Viable Thermal Dark Matter Candidate in $U(1)'$ Extensions of the MSSMOct 31 2017May 03 2019We study the Standard Model singlet ("right-handed") sneutrino $\tilde \nu_R$ dark matter in a class of $U(1)'$ extensions of the MSSM that originate from the breaking of the $E_6$ gauge group. These models, which are referred to as UMSSM, contain three ... More

The contribution of magnetic monopoles to ponderomotive forces in plasmasJan 08 2018May 17 2018It is well--known that when magnetic monopoles are introduced in plasma equations the propagation of electromagnetic waves is modified. This occurs because of Maxwell equations acquire a symmetrical structure due to the existence of electric and magnetic ... More

Generalization of the second trace form of central simple algebras in characteristic twoOct 09 2004Let F be a field with characteristic two. We generalize the second trace form for central simple algebras with odd degree over F. We determine the second trace form and the Arf invariant and Clifford invariant for tensor products of central simple algebras. ... More

On the image of polynomials evaluated on incidence algebras: a counter-example and a solutionFeb 21 2019In this paper, we investigate the subset obtained by evaluations of a fixed multilinear polynomial on a given algebra. We provide an example of a multilinear polynomial, whose image is not a vector subspace; namely, the product of two commutators need ... More

Noise versus chaos in a causal Fisher-Shannon planeOct 14 2015We revisit the Fisher-Shannon representation plane ${\mathcal H} \times {\mathcal F}$, evaluated using the Bandt and Pompe recipe to assign a probability distribution to a time series. Several stochastic dynamical (noises with $f^{-k}$, $k \geq 0$, power ... More

Borel summability of $φ^{4}_{4}$ planar theory via multiscale analysisFeb 10 2010Mar 03 2010We review the issue of Borel summability in the framework of multiscale analysis and renormalization group, by discussing a proof of Borel summability of the $\phi^{4}_4$ massive euclidean planar theory; this result is not new, since it was obtained by ... More

Quantum theory within the probability calculus: a there-you-go theorem and partially exchangeable modelsMar 06 2018Mar 07 2018"Ever since the advent of modern quantum mechanics in the late 1920's, the idea has been prevalent that the classical laws of probability cease, in some sense, to be valid in the new theory. [...] The primary object of this presentation is to show that ... More

Categorification of two-dimensional cohomological Hall algebrasMar 18 2019In the present paper, we provide a full categorification, at the level of stable $\infty$-categories, of two-dimensional cohomological Hall algebras of curves and surfaces. This is achieved by producing a suitable derived enhancement of the relevant moduli ... More

The ubiquitous XP commutatorSep 23 2005Position and momentum of a particle can take any value in a continuous spectrum; these values are independent but their indeterminacies are correlated; momentum and position are mutually the generators of the transformations in each other. It is shown ... More

Understanding light quanta:Construction of the free electromagnetic fieldMar 02 2005Apr 15 2005The free electromagnetic field, solution of Maxwell's equations and carrier of energy, momentum and spin, is construed as an emergent collective property of an ensemble of photons, and with this, the consistency of an interpretation that considers that ... More

Understanding light quanta: First quantization of the free electromagnetic fieldOct 21 2004The quantization of the electromagnetic field in vacuum is presented without reference to lagrangean quantum field theory. The equal time commutators of the fields are calculated from basic principles. A physical discussion of the commutators suggest ... More

Classes of forms Witt equivalent to a second trace form over fields of characteristic twoOct 09 2004Let F be a field of characteristic two. We determine all non-hyperbolic quadratic forms over F that are Witt equivalent to a second trace form.

Affine and convex spaces: blending the analytic and geometric viewpointsMar 31 2011Feb 10 2019This is a short introduction to affine and convex spaces, written especially for physics students. It summarizes different elementary presentations available in the mathematical literature, and blends analytic- and geometric-flavoured presentations. References ... More

A one-dimensional lattice model for a quantum mechanical free particleMay 10 1999Two types of particles, A and B with their corresponding antiparticles, are defined in a one dimensional cyclic lattice with an odd number of sites. In each step of time evolution, each particle acts as a source for the polarization field of the other ... More

Relativity of representations in quantum mechanicsSep 25 2001Only the position representation is used in introductory quantum mechanics and the momentum representation is not usually presented until advanced undergraduate courses. To emphasize the relativity of the representations of the abstract formulation of ... More

In favour of the time variable in classical thermoDYNAMICSDec 14 2010Jan 19 2011A case for the teaching of classical thermodynamics with an explicit time variable, with phenomena involving changes in time, is made by presenting and solving a exercise in textbook style, and pointing out that a solution accords with experiment. The ... More

Development of a tight-binding potential for bcc-Zr. Application to the study of vibrational propertiesNov 16 2000Mar 16 2001We present a tight-binding potential based on the moment expansion of the density of states, which includes up to the fifth moment. The potential is fitted to bcc and hcp Zr and it is applied to the computation of vibrational properties of bcc-Zr. In ... More

How to obtain efficient GPU kernels: an illustration using FMM & FGT algorithmsSep 17 2010Mar 01 2011Computing on graphics processors is maybe one of the most important developments in computational science to happen in decades. Not since the arrival of the Beowulf cluster, which combined open source software with commodity hardware to truly democratize ... More

Quantum Mechanics as a Classical Field TheoryMay 10 1999The formalism of quantum mechanics is presented in a way that its interpretation as a classical field theory is emphasized. Two coupled real fields are defined with given equations of motion. Densities and currents associated to the fields are found with ... More

PetFMM--A dynamically load-balancing parallel fast multipole libraryMay 15 2009Fast algorithms for the computation of $N$-body problems can be broadly classified into mesh-based interpolation methods, and hierarchical or multiresolution methods. To this last class belongs the well-known fast multipole method (FMM), which offers ... More

Spinning massive test particles in cosmological and general static spherically symmetric spacetimesAug 20 2013Feb 06 2014A Lagrangian formalism is used to study the motion of a spinning massive particle in Friedmann--Robertson--Walker and G\"odel spacetimes, as well as in a general Schwarzschild-like spacetime and in static spherically symmetric conformally flat spacetimes. ... More

Geometry of maximum-entropy proofs: stationary points, convexity, Legendre transforms, exponential familiesJun 13 2017This note is a geometric commentary on maximum-entropy proofs. Its purpose is to illustrate the geometric structures involved in such proofs, to explain more in detail why the maximization of the entropy can be turned into the minimization of a potential ... More

Do cancer cells undergo phenotypic switching? The case for imperfect cancer stem cell markersAug 28 2013The identification of cancer stem cells in vivo and in vitro relies on specific surface markers that should allow to sort cancer cells in phenotypically distinct subpopulations. Experiments report that sorted cancer cell populations after some time tend ... More

Unlearning and Seyab's theorem: a dialogue about updating probabilityFeb 03 2018This dialogue explores the possibility of updating a probability as a consequence of unlearning, reversing the role of prior and posterior probabilities.

Quantum mechanics in finite dimensional Hilbert spaceMay 24 2002The quantum mechanical formalism for position and momentum of a particle in a one dimensional cyclic lattice is constructively developed. Some mathematical features characteristic of the finite dimensional Hilbert space are compared with the infinite ... More

Algebras whose Tits form accepts a maximal omnipresent rootJul 17 2011Let k be an algebraically closed field and A be a finite-dimensional associative basic k-algebra of the form A=kQ/I where Q is a quiver without oriented cycles or double arrows and I is an admissible ideal of kQ. We consider roots of the Tits form q_A, ... More

Acceptable Inverse Power Law Potential Quintessence with n=18/7Mar 07 2002Oct 22 2002We present a particle physics quintessence model which agrees well with existing cosmological data, including the position of the acoustic peaks. This model has an inverse power law potential (IPL) with $n=18/7\sim 2.57$ and it gives $\weff=-0.75$, an ... More

Cosmology for Scalar Fields with Negative Potentials and w <-1Dec 05 2002Feb 04 2004We study the cosmology of canonically normalized scalar fields that lead to an equation of state parameter of w_\phi=p_\phi/\rho_\phi<-1 without violating the weak energy condition: rho=\Sigma_i\rho_i \geq 0 and \rho_i+p_i\geq 0. This kind of behavior ... More

Statistical relativistic temperature transformation for ideal gas of bradyons, luxons and tachyonsDec 28 2007Mar 05 2009Starting from a microcanonical statistical approach and special relativity, the relativistic transformations for temperature and pressure for an ideal gas of bradyons, luxons or tachyons is found. These transformations are in agreement with the three ... More

Sampling Strategies for Path Planning under Kinematic ConstraintsJul 09 2014A well-known weakness of the probabilistic path planners is the so-called narrow passage problem, where a region with a relatively low probability of being sampled must be explored to find a solution path. Many strategies have been proposed to alleviate ... More

Electromagnetic energy within single-resonance chiral metamaterial spheresMar 04 2013We derive an exact expression for the time-averaged electromagnetic energy inside a chiral dispersive sphere irradiated by a plane wave. The dispersion relations correspond to a chiral metamaterial consisting of uncoupled single-resonance helical resonators. ... More

Plantinga-Vegter algorithm takes average polynomial timeJan 26 2019We exhibit a condition-based analysis of the adaptive subdivision algorithm due to Plantinga and Vegter. The first complexity analysis of the PV Algorithm is due to Burr, Gao and Tsigaridas who proved a $O\big(2^{\tau d^{4}\log d}\big)$ worst-case cost ... More

Flavor-dependent CP violation and electroweak baryogenesis in supersymmetric theoriesAug 26 2002Oct 29 2002We analyze electroweak baryogenesis in supersymmetric theories with flavor-dependent CP-violating phases. We generalize the standard approach to include the flavor dependence of the CP-violating sources and obtain an analytical approximate expression ... More

Observability inequalities on measurable sets for the Stokes system and applicationsAug 23 2017In this paper, we establish spectral inequalities on measurable sets of positive Lebesgue measure for the Stokes operator, as well as an observability inequalities on space-time measurable sets of positive measure for non-stationary Stokes system. Furthermore, ... More

The group generated by Riordan involutionsMar 19 2018We prove that any element in the group generated by the Riordan involutions is the product of at most four of them. We also give a description of this subgroup as a semidirect product of a special subgroup of the commutator subgroup and the Klein four-group. ... More

Group gradings on finite dimensional incidence algebrasMay 21 2019In this work, we classify the group gradings on finite-dimensional incidence algebras over a field, where the field has characteristic zero, or the characteristic is greater than the dimension of the algebra, or the grading group is abelian. Moreover, ... More

Quantum state reconstruction from dynamical systems theoryMar 16 2011Dec 27 2013When an informationally incomplete set of observables is considered there are several solutions to the quantum state reconstruction problem using von Neumann measurements. The set of solutions are known as Pauli partners, which are not easy to find even ... More

Quantum tomography meets dynamical systems and bifurcations theoryJan 07 2014A powerful tool for studying geometrical problems in Hilbert space is developed. In particular, we study the quantum pure state tomography problem in finite dimensions from the point of view of dynamical systems and bifurcations theory. First, we introduce ... More

Inflation at the maxima of the potentialsMar 20 2003Aug 24 2005We construct a two-stage inflationary model which can accommodate early inflation at a scale $\Lambda_1$ as well as a second stage of inflation at $\Lambda_2$ with a single scalar field $\phi$. We use a symmetric potential, valid in a frictionless world, ... More

Six combinatorial clases of maximal convex tropical polyhedraMay 18 2012Oct 31 2012In this paper we bring together tropical linear algebra and convex 3-dimensional bodies. We show how certain convex 3-dimensional bodies having 20 vertices and 12 facets can be encoded in a $4\times 4$ integer zero-diagonal matrix $A$. A tropical tetrahedron ... More

Derived Hom spaces in rigid analytic geometryJan 23 2018We construct a derived enhancement of Hom spaces between rigid analytic spaces. It encodes the hidden deformation-theoretic informations of the underlying classical moduli space. The main tool in our construction is the representability theorem in derived ... More

Representability theorem in derived analytic geometryApr 06 2017Dec 02 2018We prove the representability theorem in derived analytic geometry. The theorem asserts that an analytic moduli functor is a derived analytic stack if and only if it is compatible with Postnikov towers, has a global analytic cotangent complex, and its ... More

Generation Engineering of Heralded Narrowband Colour Entangled StatesSep 10 2018Efficient heralded generation of entanglement together with its manipulation is of great importance for quantum communications. In addition, states generated with bandwidths naturally compatible with atomic transitions allow a more efficient mapping of ... More

Erratum: "On the nonlocal Cahn-Hilliard-Brinkman and Cahn-Hilliard-Hele-Shaw systems" [Comm. Pure Appl. Anal. 15 (2016), 299-317]Nov 19 2018In this note, we want to highlight and correct an error in the paper "On the nonlocal Cahn-Hilliard-Brinkman and Cahn-Hilliard-Hele-Shaw systems" [Comm. Pure Appl. Anal. 15 (2016), 299-317] written by the authors.

Derived non-archimedean analytic spacesJan 05 2016Feb 07 2017We propose a derived version of non-archimedean analytic geometry. Intuitively, a derived non-archimedean analytic space consists of an ordinary non-archimedean analytic space equipped with a sheaf of derived rings. Such a naive definition turns out to ... More

Convective nonlocal Cahn-Hilliard equations with reaction termsJun 06 2014May 13 2015We introduce and analyze the nonlocal variants of two Cahn-Hilliard type equations with reaction terms. The first one is the so-called Cahn-Hilliard-Oono equation which models, for instance, pattern formation in diblock-copolymers as well as in binary ... More

Higher analytic stacks and GAGA theoremsDec 16 2014Jul 28 2016We develop the foundations of higher geometric stacks in complex analytic geometry and in non-archimedean analytic geometry. We study coherent sheaves and prove the analog of Grauert's theorem for derived direct images under proper morphisms. We define ... More

Plantinga-Vegter algorithm takes average polynomial timeJan 26 2019Apr 18 2019We exhibit a condition-based analysis of the adaptive subdivision algorithm due to Plantinga and Vegter. The first complexity analysis of the PV Algorithm is due to Burr, Gao and Tsigaridas who proved a $O\big(2^{\tau d^{4}\log d}\big)$ worst-case cost ... More

Electromagnetic energy stored in inhomogeneous scattering systemsSep 28 2017We analytically study the time-averaged electromagnetic energy stored inside scatterers containing inclusions of arbitrary shapes. Assuming the low density of inclusions, we derive the expression for the energy-transport velocity through disordered media ... More

Controlling optical memory effects in disordered media with coated metamaterialsNov 13 2018Most applications of memory effects in disordered optical media, such as the tilt-tilt and shift-shift spatial correlations, have focused on imaging through and inside biological tissues. Here we put forward a metamaterial platform not only to enhance ... More

Zeros of irreducible characters in factorised groupsMar 01 2018An element $g$ of a finite group $G$ is said to be vanishing in $G$ if there exists an irreducible character $\chi$ of $G$ such that $\chi(g)=0$; in this case, $g$ is also called a zero of $G$. The aim of this paper is to obtain structural properties ... More

Optimized Effective Potentials in Finite Basis SetsOct 31 2006May 14 2007The finite basis optimized effective potential (OEP) method within density functional theory is examined as an ill-posed problem. It is shown that the generation of nonphysical potentials is a controllable manifestation of the use of unbalanced, and thus ... More

Unconventional Fano effect and off-resonance field enhancement in plasmonic coated spheresMar 01 2013We investigate light scattering by coated spheres composed of a dispersive plasmonic core and a dielectric shell. By writing the absorption cross-section in terms of the internal electromagnetic fields, we demonstrate it is an observable sensitive to ... More

Plasmonic Antennas Hybridized with Dielectric WaveguidesJul 17 2013For the purpose of using plasmonics in an integrated scheme where single emitters can be probed efficiently, we experimentally and theoretically study the scattering properties of single nano-rod gold antennas as well as antenna arrays placed on one-dimensional ... More

Prime power indices in factorised groupsMay 02 2017Let the group $G = AB$ be the product of the subgroups $A$ and $B$. We determine some structural properties of $G$ when the $p$-elements in $A\cup B$ have prime power indices in $G$, for some prime $p$. More generally, we also consider the case that all ... More

Products of groups and class sizes of $π$-elementsDec 21 2018We provide structural criteria for some finite factorised groups $G = AB$ when the conjugacy class sizes in $G$ of certain $\pi$-elements in $A\cup B$ are either $\pi$-numbers or $\pi'$-numbers, for a set of primes $\pi$. In particular, we extend for ... More

Electromagnetic energy and negative asymmetry parameter in coated magneto-optical cylinders: Applications to tunable light transport in disordered systemsDec 17 2017We investigate electromagnetic scattering of normally irradiated gyrotropic, magneto-optical core-shell cylinders using Lorenz-Mie theory. A general expression for time-averaged electromagnetic energy inside a coated gyroelectric and gyromagnetic scatterer ... More

Gaia-DR2 distance to the W3 Complex in the Perseus ArmMay 21 2019The Perseus Arm is the closest Galactic spiral arm from the Sun, offering an excellent opportunity to study in detail its stellar population. However, its distance has been controversial with discrepancies by a factor of two. Kinematic distances are in ... More

Coherent states for free particlesApr 15 2010The coherent states are reviewed with particular application to the free particle system. The didactic advantages of the formalism is emphasized. Several interesting features, like the relation of the coherent states with the Galilei group and with the ... More

Maximum walk entropy implies walk regularityJun 19 2014Feb 01 2019The notion of walk entropy $S^V(G,\beta)$ for a graph $G$ at the inverse temperature $\beta$ was put forward recently by Estrada et al. (2014) \cite{6}. It was further proved by Benzi \cite{1} that a graph is walk-regular if and only if its walk entropy ... More