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Spectral Classification of Optical Counterparts to ROSAT All-Sky Survey X-ray SourcesFeb 16 2007Previous work statistically identified 5492 optical counterparts, with approximately 90% confidence, from among the approximately 18,000 X-ray sources appearing in the ROSAT All-Sky Survey Bright Source Catalog (RASS/BSC). Using low resolution spectra ... More

An Integrated Analysis of Radial Velocities in Planet SearchesSep 25 2009We discuss a Bayesian approach to the analysis of radial velocities in planet searches. We use a combination of exact and approximate analytic and numerical techniques to efficiently evaluate chi-squared for multiple values of orbital parameters, and ... More

Rayleigh Scattering in the Atmosphere of the Warm Exo-Neptune GJ 3470bNov 17 2015GJ 3470b is a warm Neptune-size planet transiting a M dwarf star. Like the handful of other small exoplanets for which transmission spectroscopy has been obtained, GJ 3470b exhibits a flat spectrum in the near- and mid-infrared. Recently, a tentative ... More

Revised Orbit and Transit Exclusion for HD 114762bJun 07 2011Jun 10 2011Transiting planets around bright stars have allowed the detailed follow-up and characterization of exoplanets, such as the study of exoplanetary atmospheres. The Transit Ephemeris Refinement and Monitoring Survey (TERMS) is refining the orbits of the ... More

A search for transits of GJ 581\lowercase{e} and characterization of the host star variability using MOST space telescope photometryNov 02 2012The GJ 581 system has been amply studied since its discovery in 2005: the number of known planets in the system has increased and their orbital parameters are among the most precisely determined for radial velocity detected exoplanets. We have acquired ... More

Earthquakes and Thurston's boundary for the Teichmüller space of the universal hyperbolic solenoidOct 16 2006A measured laminations on the universal hyperbolic solenoid $\S$ is, by our definition, a leafwise measured lamination with appropriate continuity for the transverse variations. An earthquakes on theuniversal hyperbolic solenoid $\S$ is uniquely determined ... More

Bounded EarthquakesOct 10 2006Oct 17 2006We give a short proof of the fact that bounded earthquakes of the unit disk induce quasisymmetric maps of the unit circle. By a similar method, we show that symmetric maps are induced by bounded earthquakes with asymptotically trivial measures.

Thurston's boundary to infinite-dimensional Teichmüller spaces: geodesic currentsMay 05 2015Let $X_0$ be a complete borderless infinite area hyperbolic surface. We introduce Thurston's boundary to the Teichm\"uller space $T(X_0)$ of the surface $X_0$ using Liouville (geodesic) currents. Thurston's boundary to $T(X_0)$ is identified with the ... More

Circle homeomorphisms and shearsOct 11 2009We give parameterizations of homeomorphisms, quasisymmetric maps and symmetric maps of the unit circle in terms of shear coordinates for the Farey tesselation.

The Stratification of Singular Locus and Closed Geodesics on OrbifoldsApr 27 2015In this note, we prove the existence of a closed geodesic of positive length on any compact developable orbifold of dimension 3, 5, or 7. The argument uses the stratification of the singular locus, and reduces the problem of existence of a closed geodesic ... More

Some remarks on bounded earthquakesSep 10 2008We first show that an earthquake of a geometrically infinite hyperbolic surface induces an asymptotically conformal change in the hyperbolic metric if and only if the measured lamination associated with the earthquake is asymptotically trivial on the ... More

Minimality in CR geometry and the CR Yamabe problem on CR manifolds with boundaryMay 15 2006We study the minimality of an isometric immersion of a Riemannian manifold into a strictly pseudoconvex CR manifold endowed with the Webster metric hence formulate a version of the CR Yamabe problem for CR manifolds-with-boundary. This is shown to be ... More

Fenchel-Nielsen coordinates on upper bounded pants decompositionsSep 26 2012Nov 16 2012Let $X_0$ be an infinite genus hyperbolic surface (whose boundary components, if any, are closed geodesics or punctures) which has an upper bounded pants decomposition. The length spectrum Teichm\"uller space $T_{ls}(X_0)$ consists of all surfaces $X$ ... More

Detection of Helium in the Atmosphere of the Exo-Neptune HAT-P-11bDec 05 2018The helium absorption triplet at a wavelength of 10,833 \AA\ has been proposed as a way to probe the escaping atmospheres of exoplanets. Recently this feature was detected for the first time using Hubble Space Telescope (HST) WFC3 observations of the ... More

The B and Be States of the Star EM CepheusJun 15 2016We present eleven years of high-resolution, spectroscopic observations for the star EM~Cep. EM~Cep switches between B and Be star states, as revealed by the level of H$\alpha$ emission, but spends most of its time in the B~star state. EM~Cep has been ... More

Ruling out the orbital decay of the WASP-43bMar 03 2016We present 15 new transit observations of the exoplanet WASP-43b in the $i'$,$g'$, and $R$ filters with the 1.0-m telescopes of Las Cumbres Observatory Global Telescope (LCOGT) Network and the IAC80 telescope. We combine our 15 new light curves with 52 ... More

An Estimate of the Yield of Single-Transit Planetary Events from the Transiting Exoplanet Survey SatelliteMay 02 2018We present a semi-analytic estimate of the expected yield of single-transit planets from the Transiting Exoplanet Survey Satellite (TESS). We use the TESS Candidate Target List 6 (CTL-6) as an input catalog of over 4 million sources. We predict that from ... More

Improved Orbital Parameters and Transit Monitoring for HD 156846bMar 21 2011HD 156846b is a Jovian planet in a highly eccentric orbit (e = 0.85) with a period of 359.55 days. The pericenter passage at a distance of 0.16 AU is nearly aligned to our line of sight, offering an enhanced transit probability of 5.4% and a potentially ... More

Temperate super-Earths/mini-Neptunes around M/K dwarfs Consist of 2 Populations Distinguished by Their AtmospheresMar 30 2018Studies of the atmospheres of hot Jupiters reveal a diversity of atmospheric composition and haze properties. Similar studies on individual smaller, temperate planets are rare due to the inherent difficulty of the observations and also to the average ... More

Dimensions of generic local orbits of multipartite quantum systemsAug 15 2006Jan 01 2007We consider the action of the group of local unitary transformations, U(m) x U(n), on the set of (mixed) states W of the bipartite m x n quantum system. We prove that the generic U(m) x U(n)--orbits in W have dimension m^2+n^2-2. This problem was mentioned ... More

Proof of Atiyah's conjecture for two special types of configurationsMay 21 2002Jun 11 2002We prove Atiyah's conjecture for two special types of configurations of N points in the three-dimensional Euclidean space. For one of these types, it is shown that the stronger conjecture of Atiyah and Sutcliffe is valid.

Periodic complementary sets of binary sequencesAug 01 2007Apr 13 2008Let PCS_p^N denote a set of p binary sequences of length N such that the sum of their periodic auto-correlation functions is a delta-function. In the 1990, Boemer and Antweiler addressed the problem of constructing such sequences. They presented a table ... More

Poincare series for local unitary invariants of mixed states of the qubit-qutrit systemMay 01 2006We consider the mixed states of the bipartite quantum system with the first party a qubit and the second a qutrit. The group of local unitary transformations of the system, ignoring the overall phase factor, is the direct product G of SU(2) and SU(3). ... More

Visual sphere and Thurston's boundary of the Universal Teichmüller spaceMay 28 2015Thurston's boundary to the universal Teichm\"uller space $T(\mathbb{D})$ is the space $PML_{bdd}(\mathbb{D})$ of projective bounded measured laminations of $\mathbb{D}$. A geodesic ray in $T(\mathbb{D})$ is of Teichm\"uller type if it shrinks vertical ... More

Spectral Radius Inequalities for Functions of Operators Defined by Power SeriesFeb 11 2013By the help of power series f we can naturally construct another power series that has as coefficients the absolute values of the coefficients of f. Utilising these functions we prove some inequalities for the spectral radius of the bounded linear operator ... More

Reverses and Refinements of Jensen's Inequality for Positive Linear Functionals on Hermitian Unital Banach *-AlgebrasDec 17 2016We establish in this paper some inequalities for analytic and convex functions on an open interval and positive normalized functionals defined on a Hermitian unital Banach *-algebra. Reverses and refinements of Jensen's and Slater's type inequalities ... More

Inequalities for Quadratic Operator Perspective of Convex Functions and Bounded Linear Operators in Hilbert SpacesSep 27 2016In this paper we introduce the concept of quadratic operator perspective for a continuous function {\Phi} defined on the positive semi-axis of real numbers. This generalize the quadratic weighted operator geometric mean and the quadratic relative operator ... More

Bessel Type Inequalities for Non-Orthonormal Families of Vectors in Inner Product SpacesAug 04 2005Some sharp Bessel type inequalities for non-orthonormal families of vectors in inner product spaces are given. Applications for complex numbers are also provided.

On the Bombieri Inequality in Inner Product SpacesJul 11 2003New results related to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.

Quadratic Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-Valued Functions in Hilbert SpacesJun 06 2004Some quadratic reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.

Quadratic Reverses of the Triangle Inequality in Inner Product SpacesMay 26 2004Some sharp quadratic reverses for the generalised triangle inequality in inner product spaces and applications are given.

Poincare series of some pure and mixed trace algebras of two generic matricesSep 09 2006We work over a field K of characteristic zero. The Poincare series for the algebra C_{n,2} of GL_n-invariants and the algebra T_{n,2} of GL_n-concomitants of two generic n x n matrices x and y are presented for n less than or equal 6. Both simply graded ... More

A heuristic algorithm for computing the Poincaré series of the invariants of binary formsAug 06 2006We propose a heuristic algorithm for fast computation of the Poincar\'{e} series $P_n(t)$ of the invariants of binary forms of degree $n$, viewed as rational functions. The algorithm is based on certain polynomial identities which remain to be proved ... More

Additive Reverses of the Generalised Triangle Inequality in Normed SpacesJun 23 2004Some additive reverses of the generalised triangle inequality in normed linear spaces are given. Applications for complex numbers are provided as well.

A Counterpart of Schwarz's Inequality in Inner Product SpacesMay 27 2003A new counterpart of Schwarz's inequality in inner product spaces and applications for isotonic functionals, integrals and sequences are provided.

Advances on Inequalities of the Schwarz, Triangle and Heisenberg Type in Inner Product SpacesMar 03 2005The purpose of this survey is to give a comprehensive introduction to some classes of classical and recent analytic inequalities in Inner Product Spaces.

On one class of holonomy groups in pseudo-Riemannian geometryJul 12 2011Jan 31 2014We describe a new class of holonomy groups on pseudo-Riemannian manifolds. Namely, we prove the following theorem. Let g be a nondegenerate bilinear form on a vector space V, and L:V -> V a g-symmetric operator. Then the identity component of the centraliser ... More

Markov $L_2$ inequality with the Gegenbauer weightFeb 20 2017For the Gegenbauer weight function $w_{\lambda}(t)=(1-t^2)^{\lambda-1/2}$, $\lambda>-1/2$, we denote by $\Vert\cdot\Vert_{w_{\lambda}}$ the associated $L_2$-norm, $$ \Vert f\Vert_{w_{\lambda}}:=\Big(\int_{-1}^{1}w_{\lambda}(t)f^2(t)\,dt\Big)^{1/2}. $$ ... More

Some Bombieri Type Inequalities in Inner ProductJul 09 2003Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.

Upper Bounds for the Distance to Finite-Dimensional Subspaces in Inner Product SpacesDec 23 2004We establish upper bounds for the distance to finite-dimensional subspaces in inner product spaces and improve some generalisations of Bessel's inequality obtained by Boas, Bellman and Bombieri. Refinements of the Hadamard inequality for Gram determinants ... More

Additive Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-Valued Functions in Hilbert SpacesJun 09 2004Some additive reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.

On Pecaric's Inequality in Inner Product SpacesJul 09 2003Some related results to Pecaric's inequality in inner product spaces that generalises Bombieri's inequality, are given.

An Inequality of Ostrowski Type via Pompeiu's Mean Value TheoremMay 16 2003An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are given.

Some Ostrowski Type Inequalites via Cauchy's Mean Value TheoremMay 16 2003Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are given.

Some Companions of Ostrowski's Inequality for Absolutely Continuous Functions and ApplicationsJun 04 2003Companions of Ostrowski's integral ineqaulity for absolutely continuous functions and applications for composite quadrature rules and for p.d.f.'s are provided.

Generalization of Scarpis's theorem on Hadamard matricesJan 04 2016A $\{1,-1\}$-matrix $H$ of order $m$ is a Hadamard matrix if $HH^T=mI_m$, where $T$ is the transposition operator and $I_m$ the identity matrix of order $m$. J. Hadamard published his paper on Hadamard matrices in 1893. Five years later, Scarpis showed ... More

The checkerboard family of entangled states of two qutritsNov 14 2009May 18 2010By modifying the method of Bruss and Peres, we construct two new families of entangled two qutrit states. For all density matrices in these families the (i,j)th entry is 0 for i+j odd. The first family depends on 27 independent real parameters and includes ... More

Limits of Teichmüller geodesics in the Universal Teichmüller spaceMay 25 2015May 27 2015Thurston's boundary to the universal Teichm\"uller space $T(\mathbb{H})$ is the set of asymptotic rays to the embedding of $T(\mathbb{H})$ in the space of geodesic currents; the boundary is identified with the projective bounded measured laminations $PML_{bdd}(\mathbb{H})$ ... More

The Teichmüller distance between finite index subgroups of $PSL_2(\mathbb{Z})$Jul 02 2007For a given $\epsilon >0$, we show that there exist two finite index subgroups of $PSL_2(\mathbb{Z})$ which are $(1+\epsilon)$-quasisymmetrically conjugated and the conjugation homeomorphism is not conformal. This implies that for any $\epsilon>0$ there ... More

Jacobi fields of the Tanaka-Webster connection on Sasakian manifoldsMay 15 2006We build a variational theory of geodesics of the Tanaka-Webster connection on a strictly pseudoconvex CR manifold.

Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert SpacesSep 15 2015Some inequalities for quantum f-divergence of trace class operators in Hilbert spaces are obtained. It is shown that for normalised convex functions it is nonnegative. Some upper bounds for quantum f-divergence in terms of variational and chi-distance ... More

Inequalities for Functions of Selfadjoint Operators on Hilbert SpacesMar 08 2012The main aim of this book is to present recent results concerning inequalities for continuous functions of selfadjoint operators on complex Hilbert spaces. It is intended for use by both researchers in various fields of Linear Operator Theory and Mathematical ... More

On New Refinements and Reverses of Young's Operator InequalityOct 05 2015In this paper we obtain some new refinements and reverses of Young's operator inequality. Extensions for convex functions of operators are also provided.

Some Trace Inequalities for Operators in Hilbert SpacesSep 20 2014Some new trace inequalities for operators in Hilbert spaces are provided. The superadditivity and monotonicity of some associated functionals are investigated and applications for power series of such operators are given. Some trace inequalities for matrices ... More

Reverses of the Continuous Triangle Inequality for Bochner Integral of Vector-Valued Functions in Hilbert SpacesJun 06 2004Some reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for complex-valued functions are provided as well.

Some Reverses of the Generalised Triangle Inequality in Complex Inner Product SpacesMay 26 2004Some reverses for the generalised triangle inequality in complex inner product spaces that improve the classical Diaz-Metcalf results and applications are given.

Reverses of the Triangle Inequality in Banach SpacesMay 25 2005Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained. Particular instances of interest in Hilbert spaces and for complex numbers ... More

Genearlizations of Precupanu's Inequality for Orthornormal Families of Vectors in Inner Product SpacesJan 27 2005Some genearlizations of Precupanu's inequality for orthornormal families of vectors in real or complex inner product spaces and applications related to Buzano's, Richard's and Kurepa's results are given

A Potpourri of Schwarz Related Inequalities in Inner Product SpacesJan 10 2005In this paper we obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field. Applications for the generalized triangle inequality are also given.

Bounding the Cebysev Functional for Sequences of Vectors in Normed Linear SpacesJul 09 2003Some new bounds for Cebysev functional for sequences of vectors in normed linear spaces are pointed out.

Gruss Type Discrete Inequalities in Inner Product Spaces, RevisitedJun 23 2003Some sharp inequalities of Gruss type for sequences of vectors in real or complex inner product spaces are obtained. Applications for Jensen's inequality for convex functions defined on such spaces are also provided.

Some Gruss Type Inequalities in Inner Product SpacesMar 27 2003Some new Gruss type inequalities in inner product spaces and applications for integrals are given.

Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product SpacesAug 28 2003Reverses of Schwarz, triangle and Bessel inequalities in inner product spaces that improve some earlier results are pointed out. They are applied to obtain new Gruss type inequalities in inner product spaces. Some natural applications for integral inequalities ... More

Reverse Inequalities for the Numerical Radius of Linear Operators in Hilbert SpacesSep 02 2005Some elementary inequalities providing upper bounds for the difference of the norm and the numerical radius of a bounded linear operator on Hilbert spaces under appropriate conditions are given.

Some Cauchy-Bunyakovsky-Schwarz Type Inequalities for Sequences of Operators in Hilbert SpacesJun 04 2003Some inequalities of Cauchy-Bunyakovsky-Schwarz type for sequences of bounded linear operators in Hilbert spaces and some applications are given.

Symplectic polynomial invariants of one or two matrices of small sizeAug 23 2008Dec 23 2010The algebra of holomorphic polynomial Sp_{2n}-invariants of k complex 2n by 2n matrices (under diagonal conjugation action) is generated by the traces of words in these matrices and their symplectic adjoints. No concrete minimal generating set is known ... More

On orthogonal and special orthogonal invariants of a single matrix of small orderSep 03 2007Mar 16 2008We study the structure of the algebra of polynomial invariants for the usual conjugation action of the complex special, SO_n, and general, O_n, orthogonal group on the space of traceless n by n complex matrices. (Note that these two algebras coincide ... More

Generalized distillability conjecture and generalizations of Cauchy-Bunyakovsky-Schwarz inequality and Lagrange identityMay 24 2010Dec 22 2010Let rho_k, k=1,2,...,m, be the critical Werner state in a bipartite d_k by d_k quantum system, i.e., the one that separates the 1-distillable Werner states from those that are 1-indistillable. We propose a new conjecture (GDC) asserting that the tensor ... More

Reverses of the Cauchy-Bunyakovsky-Schwarz Inequality for n-tuples of Complex NumbersNov 13 2003Some new reverses of the Cauchy-Bunyakovsky-Schwarz inequality for n-tuples of real and complex numbers related to Cassels and Shisha-Mond results are given.

Some New Results Related to Bessel and Gruss Inequalities for Orthogonal Families in Inner Product SpacesMay 20 2003Some new counterparts of Bessel's inequality for orthornormal families in real or complex inner product spaces are pointed out. Applications for some Gruss type inequalities are also empahsized.

A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Gruss Type Related ResultsMay 16 2003A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Gruss type inequalities are also provided.

Learning Correlations between Linguistic Indicators and Semantic Constraints: Reuse of Context-Dependent Descriptions of EntitiesMay 31 1998This paper presents the results of a study on the semantic constraints imposed on lexical choice by certain contextual indicators. We show how such indicators are computed and how correlations between them and the choice of a noun phrase description of ... More

Vertical Limits of Graph DomainsSep 19 2014We consider the limiting behavior of Teichm\"uller geodesics in the universal Teichm\"uller space $T(\mathbb{H})$. Our main result states that the limits of the Teichm\"uller geodesics in the Thurston's boundary of $T(\mathbb{H})$ may depend on both vertical ... More

Small orders of Hadamard matrices and base sequencesAug 12 2010We update the list of odd integers n<10000 for which an Hadamard matrix of order 4n is known to exist. We also exhibit the first example of base sequences BS(40,39). Consequently, there exist T-sequences TS(n) of length n=79. The first undecided case ... More

Classification of normal sequencesAug 03 2010Base sequences BS(m,n) are quadruples (A;B;C;D) of {+1,-1}-sequences, with A and B of length m and C and D of length n, such that the sum of their nonperiodic autocorrelation functions is a delta-function. Normal sequences NS(n) are base sequences (A;B;C;D) ... More

Hadamard matrices from base sequences: An exampleFeb 21 2010There are several well-known methods that one can use to construct Hadamard matrices from base sequences BS(m,n). In view of the recent classification of base sequences BS(n+1,n) for n <= 30, it may be of interest to show on an example how prolific these ... More

Skew-Hadamard matrices of orders 436, 580 and 988 existJun 13 2007We construct two difference families on each of the cyclic groups of order 109, 145 and 247, and use them to construct skew-Hadamard matrices of orders 436, 580 and 988. Such difference families and matrices are constructed here for the first time. The ... More

Skew-Hadamard matrices of orders 188 and 388 existApr 04 2007Mar 26 2008We construct several difference families on cyclic groups of orders 47 and 97, and use them to construct skew-Hadamard matrices of orders 188 and 388. Such difference families and matrices are constructed here for the first time. The matrices are constructed ... More

An Ostrowski Type Inequality for Convex FunctionsMay 27 2003An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence ... More

A Generalised Trapezoid Type Inequality for Convex FunctionsMay 27 2003A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence measure ... More

Generalization of Mirsky's theorem on diagonals and eigenvalues of matricesJun 17 2012Mirsky proved that, for the existence of a complex matrix with given eigenvalues and diagonal entries, the obvious necessary condition is also sufficient. We generalize this theorem to matrices over any field and provide a short proof. Moreover, we show ... More

Advances in Inequalities of the Schwarz, Gruss and Bessel Type in Inner Product SpacesSep 22 2003Dec 01 2003The main aim of this monograph is to survey some recent results obtained by the author related to reverses of the Schwarz, triangle and Bessel inequalities. Some Gruss' type inequalities for orthonormal families of vectors in real or complex inner product ... More

On Bessel and Gruss Inequalities for Orthornormal Families in Inner Product SpacesMay 20 2003A new counterpart of Bessel's inequality for orthornormal families in real or complex inner product spaces is obtained. Applications for some Gruss type results are also provided.

Some Inequalities for Functions of Bounded Variation with Applications to Landau Type ResultsOct 18 2004Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p-norm are established. Applications related to the celebrated Landau inequality between the norms of the derivatives of a ... More

On the Chebyshev's Inequality for Weighted MeansNov 14 2003Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.

A Generalisation of the Cassels and Greub-Reinboldt Inequalities in Inner Product SpacesJun 25 2003A generalisation of the Cassels and Greub-Reinboldt inequalities in complex or real inner product spaces and applications for isotonic linear functionals, integrals and sequences are provided.

Gruss Type Discrete Inequalities in Normed Linear Spaces, RevisitedJun 23 2003Some sharp inequalities of Gruss type for sequences of vectors in real or complex normed linear spaces are obtained. Applications for the discrete Fourier and Mellin transform are given. Estimates for polynomials with coefficients in normed spaces are ... More

The Median Principle for Inequalities and ApplicationsMar 27 2003The median principle is applied for different integral inequalities of Gruss and Ostrowski type.

Inquiry-based learning in a first-year honors courseJun 28 2016Aug 31 2017We describe a case study of a problem-solving section, using the "Harkness" discussion method, of an honors multivariable calculus course. Students in the problem-solving section had equivalent outcomes on exams, reported higher ratings in self-assessments ... More

AQV IV. A new formulation of the holonomy-flux *-algebraAug 19 2011In this article the holonomy-flux *-algebra, which has been introduced by Lewandowski, Okolow, Sahlmann and Thiemann, is modificated. The new *-algebra is called the holonomy-flux cross-product *-algebra. This algebra is an abstract cross-product *-algebra. ... More

AQV II. A new formulation of the Weyl C*-algebraAug 19 2011In this article a new formulation of the Weyl C*-algebra, which has been invented by Fleischhack, in terms of C*-dynamical systems is presented. The quantum configuration variables are given by the holonomies along paths in a graph. Functions depending ... More

Some properties of Fibonacci numbers, Fibonacci octonions and generalized Fibonacci-Lucas octonionsMay 07 2015Jun 12 2015In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.

Special numbers, special quaternions and special symbol elementsDec 05 2017{\small In this paper we define and we study properties of} $\left(l,1,p+2q,q\cdot l\right) -$ {\small numbers,} $\left(l,1,p+2q,q\cdot l\right) -$ {\small quaternions,} $\left(l,1,p+2q,q\cdot l\right) -$ {\small symbol elements. Finally, we obtain an ... More

On Sutured Khovanov Homology and Axis-Preserving MutationsMay 12 2015This paper establishes that sutured annular Khovanov homology is not invariant for braid closures under axis-preserving mutations. This follows from an explicit relationship between sutured annular Khovanov homology and the classical Burau representation ... More

Relationships among the nucleotide content of human genome sequence, gene structure, and gene expression features (PhD synopsis)Dec 30 2010The Dissertation is focused on the studies of associations between functional elements in human genome and their nucleotide structure. The asymmetry in nucleotide content (skew, bias) was chosen as the main feature for nucleotide structure. A significant ... More

Universal subspaces for compact Lie groupsFeb 13 2008Dec 02 2009For a representation of a connected compact Lie group G in a finite dimensional real vector space U and a subspace V of U, invariant under a maximal torus of G, we obtain a sufficient condition for V to meet all G-orbits in U, which is also necessary ... More

Multiqubit UPB: The method of formally orthogonal matricesJan 26 2018Mar 01 2018We use formal matrices whose entries we view as vector variables taking unit vectors values in one-qubit Hilbert spaces of a multiqubit quantum system. We construct many unextendible product bases (UPBs) of new sizes in such systems and provide a new ... More

Non-positive-partial-transpose quantum states of rank four are distillableFeb 14 2016We show that any bipartite quantum state of rank four is distillable, when the partial transpose of the state has at least one negative eigenvalue, i.e., the state is NPT. For this purpose we prove that if the partial transpose of a two-qutrit NPT state ... More

Indefinite locally conformal Kaehler manifoldsMay 16 2006We study the basic geometric properties of an indefinite locally conformal Kaehler manifold.

New MOST Photometry of the 55 Cancri SystemFeb 14 2013Since the discovery of its transiting nature, the super-Earth 55 Cnc e has become one of the most enthusiastically studied exoplanets, having been observed spectroscopically and photometrically, in the ultraviolet, optical and infrared regimes. To this ... More