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The existence of Hall polynomials for posets of finite prinjective typeJun 26 2013We prove the existence of Hall polynomials for prinjective representations of finite partially ordered sets of finite prinjective type. In Section 4 we shortly discuss consequences of the existence of Hall polynomials, in particular, we are able to define ... More

Finite direct sums of cyclic embeddings and an application to invariant subspace varietiesJul 19 2016In his 1951 book "Infinite Abelian Groups", Kaplansky gives a combinatorial characterization of the isomorphism types of embeddings of a cyclic subgroup in a finite abelian group. In this paper we use partial maps on Littlewood-Richardson tableaux to ... More

Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear OperatorsFeb 13 2012Jun 26 2013We study geometric properties of varieties associated with invariant subspaces of nilpotent operators. There are reductive algebraic groups acting on these varieties. We give dimensions of orbits of these actions. Moreover, a combinatorial characterization ... More

The boundary of the irreducible components for invariant subspace varietiesAug 31 2014Oct 03 2016Given partitions $\alpha$, $\beta$, $\gamma$, the short exact sequences $0\to N_\alpha \to N_\beta \to N_\gamma \to 0$ of nilpotent linear operators of Jordan types $\alpha$, $\beta$, $\gamma$, respectively, define a constructible subset $\mathbb V_{\alpha,\gamma}^\beta$ ... More

Box moves on Littlewood-Richardson tableaux and an application to invariant subspace varietiesJul 19 2016May 14 2019In his 1951 book "Infinite Abelian Groups", Kaplansky gives a combinatorial characterization of the isomorphism types of embeddings of a cyclic subgroup in a finite abelian group. In this paper we first use partial maps on Littlewood-Richardson tableaux ... More

Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebrasJun 26 2013We define and investigate nilpotent Lie algebras associated with quadratic forms. We also present their connections with Lie algebras and Ringel-Hall algebras associated with representation directed algebras.

Generic extensions of nilpotent $k[T]$-modules, monoids of partitions and constant terms of Hall polynomialsSep 12 2011Dec 20 2012We prove that the monoid of generic extensions of finite dimensional nilpotent $k[T]$-modules is isomorphic to the monoid of partitions (with addition of partitions). Moreover we give a combinatorial algorithm that calculates constant terms of classical ... More

Applications of Littlewood-Richardson tableaux to computing generic extension of semisimple invariant subspaces of nilpotent linear operatorsNov 13 2018The main aim of the paper is to present a~combinatorial algorithm that, applying Littlewood-Richardson tableaux with entries equal to $1$, computes generic extensions of semisimple invariant subspaces of nilpotent linear operators. Moreover, we discuss ... More

Arc diagram varietiesNov 25 2012Jun 26 2013Let $k$ be an algebraically closed field and $\alpha$, $\beta$, $\gamma$ be partitions. An algebraic group acts on the constructible set of short exact sequences of nilpotent $k$-linear operators of Jordan types $\alpha$, $\beta$, and $\gamma$, respectively; ... More

Finite direct sums of cyclic embeddingsMay 14 2019In this paper we generalize Kaplansky's combinatorial characterization of the isomorphism types of embeddings of a cyclic subgroup in a finite abelian group given in his 1951 book ``Infinite Abelian Groups''. For this we introduce partial maps on Littlewood-Richardson ... More

On Lie algebras associated with representation directed algebrasFeb 19 2009Let $B$ be a representation-finite $\mathbb{C}$-algebra. The $\mathbb{Z}$-Lie algebra $L(B)$ associated with $B$ has been defined by Ch. Riedtmann. If $B$ is representation-directed there is another $\mathbb{Z}$-Lie algebra associated with $B$ defined ... More

Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators. Part IISep 28 2016For a partition $\beta$, denote by $N_\beta$ the nilpotent linear operator of Jordan type $\beta$. Given partitions $\beta$, $\gamma$, we investigate the representation space ${}_2{\mathbb V}_{\gamma}^\beta$ of all short exact sequences $$ \mathcal E: ... More

Two Partial Orders for Littlewood-Richardson TableauxMar 31 2015Feb 24 2016In this manuscript we show that two partial orders defined on the set of Littlewood-Richardson fillings of a~given shape $(\alpha,\beta,\gamma)$ are equivalent if $\beta\setminus\gamma$ is a horizontal and vertical strip. In fact, we give two proofs for ... More

Quasistatic contact problem with unilateral constraint for elastic-viscoplastic materialsAug 16 2016This paper consists of two parts. In the first part we prove the unique solvability for the abstract variational-hemivariational inequality with history-dependent operator. The proof is based on the existing result for the static variational-hemivariational ... More

On linear Harbourne constantsFeb 15 2015In this note we compute values of global linear Harbourne constants over arbitrary fields for up to ten lines. These invariants have appeared recently in the discussions around the Bounded Negativity Conjecture. They seem to be of independent interest ... More

Unexpected hypersurfaces with multiple fat pointsDec 10 2018Starting with the ground-breaking work of Cook II, Harbourne, Migliore and Nagel, there has been a lot of interest in unexpected hypersurfaces. In the last couple of months a considerable number of new examples and new phenomena has been observed and ... More

Unexpected curves and Togliatti-type surfacesOct 15 2018Jan 11 2019The purpose of this note is to establish a direct link between the theory of unexpected hypersurfaces and varieties with defective osculating behavior. We identify unexpected plane curves of degree 4 as sections of a rational surface X of degree 7 in ... More

Unexpected curves and Togliatti-type surfacesOct 15 2018May 14 2019The purpose of this note is to establish a direct link between the theory of unexpected hypersurfaces and varieties with defective osculating behavior. We identify unexpected plane curves of degree 4 as sections of a rational surface X of degree 7 in ... More

Constructing optimal entanglement witnesses. IIJun 15 2010We provide a class of optimal nondecomposable entanglement witnesses for 4N x 4N composite quantum systems or, equivalently, a new construction of nondecomposable positive maps in the algebra of 4N x 4N complex matrices. This construction provides natural ... More

Continuation semantics for multi-quantifier sentences: operation-based approachesJul 31 2016Aug 02 2016Classical scope-assignment strategies for multi-quantifier sentences involve quantifier phrase (QP)-movement. More recent continuation-based approaches provide a compelling alternative, for they interpret QP's in situ - without resorting to Logical Forms ... More

Scope ambiguities, monads and strengthsMay 12 2016Jul 31 2016In this paper, we will discuss three semantically distinct scope assignment strategies: traditional movement strategy, polyadic approach, and continuation-based approach. As a generalized quantifier on a set X is an element of C(X), the value of continuation ... More

Uniform convexity of paranormed generalizations of $L^p$ spacesMay 26 2013For a measure space $(\Omega ,\Sigma ,\mu)$ and a bijective increasing function $\varphi :\left[ 0,\infty \right) \rightarrow \left[0,\infty \right)$ the $L^{p}$-like paranormed ($F$-normed) function space with the paranorm of the form $\mathbf{p}_{\varphi}(x)=\varphi ... More

Fermat-type configurations of lines in $\mathbb P^3$ and the containment problemFeb 07 2017Sep 08 2017The purpose of this note is to show a new series of examples of homogeneous ideals $I$ in ${\mathbb K}[x,y,z,w]$ for which the containment $I^{(3)}\subset I^2$ fails. These ideals are supported on certain arrangements of lines in ${\mathbb P}^3$, which ... More

Cliquewidth and Knowledge CompilationMar 17 2013Mar 21 2013In this paper we study the role of cliquewidth in succinct representation of Boolean functions. Our main statement is the following: Let $Z$ be a Boolean circuit having cliquewidth $k$. Then there is another circuit $Z^*$ computing the same function as ... More

Optimal entanglement witnesses from generalized reduction and Robertson mapsDec 06 2010Mar 02 2011We provide a generalization of the reduction and Robertson positive maps in matrix algebras. They give rise to a new class of optimal entanglement witnesses. Their structural physical approximation is analyzed. As a byproduct we provide a new examples ... More

Generalized Quantifiers on Dependent Types: A System for AnaphoraJan 31 2014Jul 31 2016We propose a system for the interpretation of anaphoric relationships between unbound pronouns and quantifiers. The main technical contribution of our proposal consists in combining generalized quantifiers with dependent types. Empirically, our system ... More

On the diameter of Kronecker graphsMar 17 2016It is shown that a.a.s. as soon as a Kronecker graph becomes connected its diameter is bounded by a constant.

Jumps of Milnor numbers of Brieskorn-Pham singularities in non-degenerate familiesMar 13 2018The jump of the Milnor number of an isolated singularity $f_{0}$ is the minimal non-zero difference between the Milnor numbers of $f_{0}$ and one of its deformation $(f_{s}).$ In the case $f_{s}$ are non-degenerate singularities we call the jump non-degenerate. ... More

On the positivity of Bloch-Boltzmann equationsDec 17 2004In a large variety of spectroscopical applications Bloch-Boltzmann equations (BBE) play an essential role. They describe the evolution of the reduced density operator of an active atom which is coupled to radiation (Bloch part) and which interacts collisionally ... More

On the interspike-intervals of periodically-driven integrate-and-fire modelsApr 11 2013We analyze properties of the firing map, which iterations give information about consecutive spikes, for periodically driven linear integrate-and-fire models. By considering locally integrable (thus in general not continuous) input functions, we generalize ... More

Mappings from R^3 to R^3 and signs of swallowtailsMar 21 2014Let M be an oriented 3-manifold. For a generic f \in C^ \infty(M,R^3), there is a discrete set of swallowtail critical points. In that case, at any swallowtail point p there exists a well-oriented coordinate system centered at p, and a coordinate system ... More

Stability of Frustration-Free HamiltoniansSep 07 2011Nov 15 2012We prove stability of the spectral gap for gapped, frustration-free Hamiltonians under general, quasi-local perturbations. We present a necessary and sufficient condition for stability, which we call "Local Topological Quantum Order" and show that this ... More

Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularities IIAug 12 2016We show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularities. In Theorem 1.1 we list integers can be attained as Milnor numbers of a given semi-quasi-homogeneous singularity.

Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularitiesSep 11 2014Sep 23 2014The aim of this paper is to show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularities. Main result states that if $f$ is irreducible and nondegenerate, by deforming $f$ one can attain all Milnor numbers ... More

On the containment problemJan 06 2016The purpose of this note is to provide an overview of the containment problem for symbolic and ordinary powers of homogeneous ideals, related conjectures and examples. We focus here on ideals with zero dimensional support. This is an area of ongoing active ... More

Waldschmidt constants for Stanley-Reisner ideals of a class of graphsApr 19 2017In the present note we study Waldschmidt constants of Stanley-Reisner ideals of a hypergraph and a graph with vertices forming a bipyramid over a planar n-gon. The case of the hypergraph has been studied by Bocci and Franci. We reprove their main result. ... More

On codimension two flats in Fermat-type arrangementsMay 01 2017In the present note we study certain arrangements of codimension $2$ flats in projective spaces, we call them "Fermat arrangements". We describe algebraic properties of their defining ideals. In particular, we show that they provide counterexamples to ... More

Displacement sequence of an orientation preserving circle homeomorphismOct 12 2012We give a complete description of the behaviour of the sequence of displacements $\eta_n(z)=\Phi^n(x) - \Phi^{n-1}(x) \ \rmod \ 1$, $z=\exp(2\pi \rmi x)$, along a trajectory $\{\varphi^{n}(z)\}$, where $\varphi$ is an orientation preserving circle homeomorphism ... More

The impact of social integration on student persistence in introductory Modeling Instruction coursesAug 10 2015Increasing student retention and persistence -- in particular classes or in their major area of study -- is a challenge for universities. Students' academic and social integration into an institution seems to be vital for student retention, yet, research ... More

Master equation - tutorial approachJan 11 2008We do not present any original or new material. This is a tutorial addressed to students who need to study the microscopic derivation of the quantum-mechanical master equation encountered in many practical physical situations.

From Pappus Theorem to parameter spaces of some extremal line point configurations and applicationsSep 13 2015Feb 10 2016In the present work we study parameter spaces of two line point configurations introduced by B\"or\"oczky. These configurations are extremal from the point of view of Dirac-Motzkin Conjecture settled recently by Green and Tao. They have appeared also ... More

Spin wave surface states in one-dimensional planar magnonic crystalsOct 13 2016We have investigated surface spin wave states in one-dimensional planar bi-component magnonic crystals, localized on the surfaces resulting from the breaking of the periodic structure. The two systems have been considered: the magnonic crystal with periodic ... More

Contractible polyhedra in products of trees and absolute retracts in products of dendritesFeb 03 2011Dec 07 2012We show that a compact n-polyhedron PL embeds in a product of n trees if and only if it collapses onto an (n-1)-polyhedron. If the n-polyhedron is contractible and n\ne 3 (or n=3 and the Andrews-Curtis Conjecture holds), the product of trees may be assumed ... More

Photoionization rates for helium: updateNov 18 2014The NIS He gas has been observed at a few AU to the Sun almost from the beginning of the space age. To model its flow an estimate of the loss rates due to ionization by solar extreme-ultraviolet (EUV) flux is needed. The EUV irradiance has been measured ... More

Revealing Differences Between Curricula Using the Colorado Upper-Division Electrostatics DiagnosticJul 12 2014The Colorado Upper-Division Electrostatics (CUE) Diagnostic is an exam developed as part of the curriculum reform at the University of Colorado, Boulder (CU). It was designed to assess conceptual learning within upper-division electricity and magnetism ... More

Asymptotic Hilbert Polynomial and limiting shapesJul 02 2014The main aim of this paper is to provide a method which allows finding limiting shapes of symbolic generic initial systems of higher-dimensional subvarieties of P^n. M. Mustata and S. Mayes established a connection between volumes of complements of limiting ... More

Arnold's problem on monotonicity of the Newton number for surface singularitiesApr 30 2017May 31 2017According to the Kouchnirenko theorem, for a generic (precisely non-degenerate in the Kouchnirenko sense) isolated singularity $f$ its Milnor number $\mu (f)$ is equal to the Newton number $\nu (\Gamma_{+}(f))$ of a combinatorial object associated to ... More

Non-degenerate jump of Milnor numbers of surface singularitiesAug 11 2015Oct 24 2016The jump of the Milnor number of an isolated singularity $f_0$ is the minimal non-zero difference between the Milnor numbers of $f_0$ and one of its deformations $(f_s)$. We give a formula for the jump in some class of surface singularities in the case ... More

Non-degenerate jump of Milnor numbers of surface singularitiesAug 11 2015Aug 12 2015The jump of the Milnor number of an isolated singularity $f_0$ is the minimal non-zero difference between the Milnor numbers of $f_0$ and one of its deformations $(f_s)$. We give a formula for the jump in some class of surface singularities in the case ... More

Subordination model of anomalous diffusion leading to the two-power-law relaxation responsesNov 13 2011We derive a general pattern of the nonexponential, two-power-law relaxation from the compound subordination theory of random processes applied to anomalous diffusion. The subordination approach is based on a coupling between the very large jumps in physical ... More

Integrate-and-fire models with an almost periodic input functionOct 14 2016We investigate leaky integrate-and-fire models (LIF models for short) driven by Stepanov and $\mu$-almost periodic functions. Special attention is paid to the properties of a firing map and its displacement, which give information about the spiking behaviour ... More

On a conjecture of Demailly and new bounds on Waldschmidt constants in ${\mathbb P}^N$Jan 17 2017In the present note we prove a conjecture of Demailly for finite sets of sufficiently many very general points in projective spaces. This gives a lower bound on Waldschmidt constants of such sets. Waldschmidt constants are asymptotic invariants of subschemes ... More

The energy-dependent position of the IBEX ribbon due to the solar wind structureApr 18 2016Jun 13 2016Observations of energetic neutral atoms (ENAs) allow for remote studies of the plasma condition in the heliosphere and the neighboring local interstellar medium. The first IBEX results revealed an arc-like enhancement of the ENA intensity in the sky, ... More

Milnor numbers in deformations of homogeneous singularitiesApr 30 2014Nov 16 2016Let f_0 be a plane curve singularity. We study the Minor numbers of singularities in deformations of f_0. We completely describe the set of these Milnor numbers for homogeneous singularities f_0 in the case of non-degenerate deformations and obtain some ... More

Spin waves in planar quasicrystal of Penrose tilingJan 31 2017We investigated two-dimensional magnonic structures which are the counterparts of photonic quasicrystals forming Penrose tiling. We considered the slab composed of Ni (or Py) disks embedded in Fe (or Co) matrix. The disks were arranged in quasiperiodic ... More

Milnor numbers in deformations of homogeneous singularitiesApr 30 2014Let f_0 be a plane curve singularity. We study the Minor numbers of singularities in deformations of f_0. We completely describe the set of these Milnor numbers for homogeneous singularities f_0 in the case of non-degenerate deformations and obtain some ... More

Constructing new optimal entanglement witnessesJul 14 2009We provide a new class of indecomposable entanglement witnesses. In 4 x 4 case it reproduces the well know Breuer-Hall witness. We prove that these new witnesses are optimal and atomic, i.e. they are able to detect the "weakest" quantum entanglement encoded ... More

A short proof that equisingular plane curve singularities are topologically equivalentDec 05 2017We prove that if two plane curve singularities are equisingular, then they are topologically equivalent. The method we will use is P.~Fortuny~Ayuso's who proved this result for irreducible plane curve singularities.

Calculation of Araki-Sucher correction for many-electron systemsOct 06 2017Nov 10 2017In this paper we consider the evaluation of the Araki-Sucher correction for arbitrary many-electron atomic and molecular systems. This contribution appears in the leading order quantum electrodynamics corrections to the energy of a bound state. The conventional ... More

Interstellar Neutral Gas Species And Their Pickup Ions Inside The Heliospheric Termination Shock. Ionization Rates For H, O, Ne, And HeSep 26 2018Jan 10 2019Solar ionizing factors are responsible for modulation of interstellar neutral gas and its derivative populations inside the heliosphere. We overview the current state of the knowledge about them for heliospheric particles inside the termination shock. ... More

The energy-dependent position of the IBEX ribbon due to the solar wind structureApr 18 2016Jan 29 2018Observations of energetic neutral atoms (ENAs) allow for remote studies of the plasma condition in the heliosphere and the neighboring local interstellar medium. The first IBEX results revealed an arc-like enhancement of the ENA intensity in the sky, ... More

Assessing student reasoning in upper-division electricity and magnetism at Oregon State UniversityJan 25 2015Mar 25 2015Standardized assessment tests that allow researchers to compare the performance of students under various curricula are highly desirable. There are several research-based conceptual tests that serve as instruments to assess and identify students' difficulties ... More

Recommending Scientific Videos based on Metadata Enrichment using Linked Open DataJun 19 2018The amount of available videos in the Web has significantly increased not only for entertainment etc., but also to convey educational or scientific information in an effective way. There are several web portals that offer access to the latter kind of ... More

A geometric mechanism for mixed-mode bursting oscillations in a hybrid neuron modelSep 28 2015Jan 05 2016We exhibit and investigate a new type of mechanism for generating complex oscillations featuring an alternation of small oscillations with spikes (MMOs) or bursts (MMBOs) in a class of hybrid dynamical systems modeling neuronal activity. These dynamical ... More

On absolute linear Harbourne constantsJul 15 2015Jan 13 2016In the present note we study absolute linear Harbourne constants. These are invariants which were introduced in order to relate the lower bounds on the selfintersection of negative curves on birationally equivalent surfaces to the complexity of the birational ... More

Local effectivity in projective spacesFeb 23 2018In this note we introduce a Waldschmidt decomposition of divisors which might be viewed as a generalization of Zariski decomposition based on the effectivity rather than the nefness of divisors. As an immediate application we prove a recursive formula ... More

Three-dimensional conceptual model for service-oriented simulationSep 18 2009In this letter, we propose a novel three-dimensional conceptual model for an emerging service-oriented simulation paradigm. The model can be used as a guideline or an analytic means to find the potential and possible future directions of the current simulation ... More

Closed timelike curves and the second law of thermodynamicsNov 22 2017Jan 09 2019One out of many emerging implications from solutions of Einstein's general relativity equations are closed timelike curves (CTCs), which are trajectories through spacetime that allow for time travel to the past without exceeding the speed of light. Two ... More

Solar cycle variation of interstellar neutral He, Ne, O density and pick-up ions along the Earth's orbitMar 03 2016Apr 07 2016We simulated the modulation of the interstellar neutral (ISN) He, Ne, and O density and pick-up ion (PUI) production rate and count rate along the Earth's orbit over the solar cycle from 2002 to 2013 to verify if solar cycle-related effects may modify ... More

Excitonic spectral features in strongly-coupled organic polaritonsJun 30 2015Dec 04 2015Starting from a microscopic model, we investigate the optical spectra of molecules in strongly-coupled organic microcavities examining how they might self-consistently adapt their coupling to light. We consider both rotational and vibrational degrees ... More

Interstellar Neutral Gas Species And Their Pickup Ions Inside The Heliospheric Termination Shock. The Large-scale StructuresMar 15 2019We study the distribution of the interstellar neutral (ISN) gas density and the pick-up ion (PUI) density of hydrogen, helium, neon, and oxygen in the heliosphere for heliocentric distances from inside 1 au up to the solar wind termination shock (TS), ... More

Varied reasoning schema in students' written solutionsNov 07 2016The Mathematization project investigates students' use of mathematical tools across the undergraduate physics curriculum. As a part of this project, we look at intermediate mechanics students' written homework solutions to understand how they use those ... More

Students' network integration as a predictor of persistence in introductory physics coursesNov 02 2016Nov 21 2016Increasing student retention (successfully finishing a particular course) and persistence (continuing through the major area of study) is currently a major challenge for universities. While students' academic and social integration into an institution ... More

No-signaling versus quantum constraints for spatio-temporal correlations caused by weak measurementFeb 11 2016Nov 22 2017One of the formulations of Heisenberg uncertainty principle, concerning so-called measurement uncertainty, states that the measurement of one observable modifies the statistics of the other. Here, we derive such a measurement uncertainty principle from ... More

Simple scheme for encoding and decoding a qubit in unknown state for various topological codesApr 09 2014Nov 29 2014We present a scheme for encoding and decoding an unknown state for CSS codes, based on syndrome measurements. We illustrate our method by means of Kitaev toric code, defected-lattice code, topological subsystem code and Haah 3D code. The protocol is local ... More

Axiomatic approach to contextuality and nonlocalityJun 01 2015We present a unified axiomatic approach to contextuality and non-locality based on the fact that both are resource theories. In those theories the main objects are consistent boxes, which can be transformed by certain operations to achieve certain tasks. ... More

Students' network integration as a predictor of persistence in introductory physics coursesNov 02 2016May 25 2017Increasing student retention (successfully finishing a particular course) and persistence (continuing through a sequence of courses or the major area of study) is currently a major challenge for universities. While students' academic and social integration ... More

Restrictions on Seshadri constants on surfacesFeb 29 2016Starting with the pioneering work of Ein and Lazarsfeld restrictions on values of Seshadri constants on algebraic surfaces have been studied by many authors. In the present note we show how approximation involving continued fractions combined with recent ... More

Students' network integration as a predictor of persistence in introductory physics coursesNov 02 2016Increasing student retention (successfully finishing a particular course) and persistence (continuing through the major area of study) is currently a major challenge for universities. While students' academic and social integration into an institution ... More

Reconstruction of Helio-latitudinal Structure of the Solar Wind Proton Speed and DensityOct 14 2015Oct 26 2015The modeling of the heliosphere requires continuous three-dimensional solar wind data. The in-situ out-of-ecliptic measurements are very rare, so that other methods of solar wind detection are needed. We use the remote-sensing data of the solar wind speed ... More

Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillationsSep 28 2015Jan 04 2017This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission. We show that these models can generically display a ... More

Polariton condensation with saturable molecules dressed by vibrational modesMar 15 2013Mar 05 2014Polaritons, mixed light-matter quasiparticles, undergo a transition to a condensed, macroscopically coherent state at low temperatures or high densities. Recent experiments show that coupling light to organic molecules inside a microcavity allows condensation ... More

No-signaling versus quantum constraints for spatio-temporal correlations caused by weak measurementFeb 11 2016Heisenberg uncertainty principle is a trademark of quantum mechanics. In its original form it states that one cannot gain information about a system without disturbing it, which is a core of novel cryptographic techniques based on quantum effects. The ... More

Re-thinking the Rubric for Grading the CUE: The Superposition PrincipleJul 03 2013Nov 11 2013While introductory electricity and magnetism (E&M) has been investigated for decades, research at the upper-division is relatively new. The University of Colorado has developed the Colorado Upper-Division Electrostatics (CUE) Diagnostic to test students' ... More

Experimental Evidence of the Role of Compound Counting Processes in Random Walk Approaches to Fractional DynamicsNov 13 2011We present dielectric spectroscopy data obtained for gallium-doped Cd$_{0.99}$Mn$_{0.01}$Te:Ga mixed crystals which exhibit a very special case of the two-power-law relaxation pattern with the high-frequency power-law exponent equal to 1. We explain this ... More

Interstellar neutral helium in the heliosphere from IBEX observations. II. The Warsaw Test Particle Model (WTPM)Oct 16 2015Oct 21 2015We have developed a refined and optimized version of the Warsaw Test Particle Model of interstellar neutral gas in the heliosphere, specially tailored for analysis of IBEX-Lo observations. The former version of the model was used in the analysis of neutral ... More

Engagement, integration, involvement: supporting academic performance and developing a classroom social networkJun 13 2017Theories developed by Tinto and Nora identify academic performance, learning gains, and involvement in learning communities as important facets of student engagement that support student persistence. Collaborative learning environments, such as those ... More

Quartic unexpected curves and surfacesApr 10 2018Our research is motivated by recent work of Cook II, Harbourne, Migliore, and Nagel on configurations of points in the projective plane with properties that are unexpected from the point of view of the postulation theory. In this note, we revisit the ... More

Lower bounds for Waldschmidt constants of generic lines in $\mathbb{P}^3$ and a Chudnovsky-type theoremMar 06 2018The Waldschmidt constant $\alphahat(I)$ of a radical ideal $I$ in the coordinate ring of $\PP^N$ measures (asymptotically) the degree of a hypersurface passing through the set defined by $I$ in $\PP^N$. Nagata's approach to the 14th Hilbert Problem was ... More

Symbolic generic initial systems of star configurationsJan 19 2014The purpose of this note is to describe limiting shapes (as introduced by Mayes) of symbolic generic initial systems of star configurations in projective spaces over a field of characteristic 0.

Polarisation at HERA - Reanalysis of the HERA II Polarimeter Data -Jan 13 2012In this technical note we briefly present the analysis of the HERA polarimeters (transversal and longitudinal) as of summer 2011. We present the final reanalysis of the TPOL data, and discuss the systematic uncertainties. A procedure to combine and average ... More

Hartman effect for spin waves in exchange regimeJan 17 2018Jul 20 2018Hartman effect for spin waves tunnelling through a barrier in a thin magnetic film is considered theoretically. The barrier is assumed to be created by a locally increased magnetic anisotropy field. The considerations are focused on a nanoscale system ... More

QFlow lite dataset: A machine-learning approach to the charge states in quantum dot experimentsSep 26 2018Over the past decade, machine learning techniques have revolutionized how research is done, from designing new materials and predicting their properties to assisting drug discovery to advancing cybersecurity. Recently, we added to this list by showing ... More

The Conditional Uncertainty PrincipleJun 23 2015The uncertainty principle, which states that certain sets of quantum-mechanical measurements have a minimal joint uncertainty, has many applications in quantum cryptography. But in such applications, it is important to consider the effect of a (sometimes ... More

Ab initio potential energy curve for the ground state of beryllium dimerAug 16 2018This work concerns \emph{ab initio} calculations of the complete potential energy curve and spectroscopic constants for the ground state $X^1\Sigma_g^+$ of the beryllium dimer, Be$_2$. High accuracy and reliability of the results is one of the primary ... More

Evolution of the solar Ly-$α$ line profile during the solar cycle. II. How accurate is the present radiation pressure paradigm for interstellar neutral H in the heliosphere?Sep 13 2018Oct 11 2018Following the derivation of a more accurate model of the evolution of the solar Lyman-$\alpha$ line with the changing solar activity by Kowalska-leszczynska et al. 2018 (IKL18) than the formerly used model by Tarnopolski et al. 2009 (ST09), we investigate ... More

Evolution of the Solar Lyman-Alpha line profile during the solar cycleOct 18 2017Feb 02 2018Recent studies of interstellar neutral (ISN) hydrogen observed by the Interstellar Boundary Explorer (IBEX) suggested that the present understanding of the radiation pressure acting on hydrogen atoms in the heliosphere should be revised. There is a significant ... More

Self-consistent dynamical model of the Broad Line RegionMay 24 2017Jun 14 2017We develope a self-consistent description of the Broad Line Region based on the concept of the failed wind powered by the radiation pressure acting on dusty accretion disk atmosphere in Keplerian motion. The material raised high above the disk is illuminated, ... More

Long-distance quantum communication over noisy networks without long-time quantum memoryFeb 05 2012Jan 28 2015The problem of sharing entanglement over large distances is crucial for implementations of quantum cryptography. A possible scheme for long-distance entanglement sharing and quantum communication exploits networks whose nodes share Einstein-Podolsky-Rosen ... More

On the postulation of lines and a fat lineJun 07 2017In this note we show that the union of $r$ general lines and one fat line in ${\mathbb P}^3$ imposes independent conditions on forms of sufficiently high degree $d$, where the bound on $d$ is independent of the number of lines. This extends former results ... More