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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

Hubble Space Telescope Near-IR Transmission Spectroscopy of the Super-Earth HD 97658bMar 18 2014Aug 27 2014Recent results from the Kepler mission indicate that super-Earths (planets with masses between 1-10 times that of the Earth) are the most common kind of planet around nearby Sun-like stars. These planets have no direct solar system analogue, and are currently ... More

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

Astro2020 Science White Paper: Toward Finding Earth 2.0: Masses and Orbits of Small Planets with Extreme Radial Velocity PrecisionMar 13 2019Having discovered that Earth-sized planets are common, we are now embarking on a journey to determine if Earth-like planets are also common. Finding Earth-like planets is one of the most compelling endeavors of the 21st century - leading us toward finally ... More

Tracing the Origins and Evolution of Small Planets using Their Orbital ObliquitiesMar 11 2019We recommend an intensive effort to survey and understand the obliquity distribution of small close-in extrasolar planets over the coming decade. The orbital obliquities of exoplanets--i.e., the relative orientation between the planetary orbit and the ... 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

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

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

Symplectic rigidity, symplectic fixed points and global perturbations of Hamiltonian systemsDec 05 2005In this paper we study a generalized symplectic fixed point problem, first considered by J. Moser in \cite{M}, from the point of view of some relatively recently discovered symplectic rigidity phenomena. This problem has interesting applications concerning ... 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

About split quaternion algebras over quadratic fields and symbol algebras of degree $n$Nov 23 2015Oct 23 2016In this paper we determine sufficient conditions for a quaternion algebra to split over a quadratic field. In the last section of the paper, we find a class of division symbol algebras of degree $n$ (where $n$ is a positive integer, $n\geq 3$) over a ... More

On the Diophantine equation x^4-q^4=py^5Jul 03 2009In this paper we study the Diophantine equation $x^{4}-q^{4}=py^{5},$ with the following conditions: $p$ and $q$ are different prime natural numbers, $y$ is not divisible with $p$, $p\equiv3$ (mod20), $q\equiv4$ (mod5), $\overline{p}$ is a generator of ... More

Preheating after Multi-field InflationSep 19 2008In this note I study preheating after multi-field inflation to assess the feasibility of parametric resonance. An intuitive argument for the suppression of resonances due to dephasing of fields in generic multi-field models is presented. This effect is ... More

Optimal stopping for Lévy processes and affine functionsApr 21 2008This paper studies an optimal stopping problem for L\'evy processes. We give a justification of the form of the Snell envelope using standard results of optimal stopping. We also justify the convexity of the value function, and without a priori restriction ... More

Energy Bounds for Fault-Tolerant Nanoscale DesignsOct 25 2007The problem of determining lower bounds for the energy cost of a given nanoscale design is addressed via a complexity theory-based approach. This paper provides a theoretical framework that is able to assess the trade-offs existing in nanoscale designs ... More

Algebras of Quantum Variables for Loop Quantum Gravity, I. OverviewAug 19 2011The operator algebraic framework plays an important role in mathematical physics. Many different operator algebras exist for example for a theory of quantum mechanics. In Loop Quantum Gravity only two algebras have been introduced until now. In the project ... More

AQV V. The localised holonomy-flux cross-product *-algebraAug 19 2011In the project AQV the issue of quantum constraints, KMS-states and algebras of quantum configuration and momentum variables in Loop Quantum Gravity has been argued. There a physical algebra has been required to contain complete observables and the quantum ... More

Composition of Transiting and Transiting-only super-EarthsMar 18 2011The relatively recent detections of the first three transiting super-Earths mark the beginning of a subfield within exoplanets that is both fruitful and challenging. The first step into characterizing these objects is to infer their composition given ... More

About division quaternion algebras and division symbol algebrasNov 08 2014{\small In this paper, we find a class of division quaternion algebras over the field }$\mathbb{Q}\left( i\right) ${\small \ and a class of division symbol algebras over a cyclotomic field.}

High-energy resummation in direct photon productionJun 23 2009We present the computation of the direct photon production cross-section in perturbative QCD to all orders in the limit of high partonic center-of-mass energy. We show how the high-energy resummation can be performed consistently in the presence of a ... 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

About the Diophantine Equation $x^{4}-q^{4}=py^{r}$Jul 06 2009In this paper, we prove a theorem about the integer solutions to the Diophantine equation $x^{4}-q^{4}=py^{r}$, extending previous work of K.Gy\H ory, and F.Luca and A.Togbe, and of the author.

About certain prime numbersJul 02 2009We give a necessary condition for the existence of solutions of the Diophantine equation $p=x^{q}+ry^{q},$ with $p$, $q$, $r$ distinct odd prime natural numbers.

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

Convergence of Teichmüller deformations in the universal Teichmüller spaceOct 04 2018Feb 26 2019Let $\varphi :\mathbb{D}\to\mathbb{C}$ be an integrable holomorphic function on the unit disk $\mathbb{D}$ and $D_{\varphi}:\mathbb{D}\to T(\mathbb{D})$ the Teichm\"uller disk in the universal Teichm\"uller space $T(\mathbb{D})$. For a positive $t$ it ... More

Some new near-normal sequencesJul 17 2009Feb 14 2010The normal sequences NS(n) and near-normal sequences NN(n) play an important role in the construction of orthogonal designs and Hadamard matrices. They can be identified with certain base sequences (A;B;C;D), where A and B have length n+1 and C and D ... More

Supplementary difference sets with symmetry for Hadamard matricesMar 29 2009Dec 05 2009First we give an overview of the known supplementary difference sets (SDS) (A_i), i=1..4, with parameters (n;k_i;d), where k_i=|A_i| and each A_i is either symmetric or skew and k_1 + ... + k_4 = n + d. Five new Williamson matrices over the elementary ... More

Cyclic (v;r,s;lambda) difference families with two base blocks and v <= 50Jul 14 2007Mar 30 2009We construct many new cyclic (v;r,s;lambda) difference families with v less than or equal 50. In particular we construct the difference families with parameters (45;18,10;9), (45;22,22;21), (47;21,12;12), (47;19,15;12), (47;22,14;14), (48;20,10;10), (48;24,4;12), ... More

Hadamard matrices of order 764 existMar 11 2007We construct two Hadamard matrices of order 764. Both are of Goethals-Seidel type.

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

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

The mapping class group cannot be realized by homeomorphismsJul 01 2008Let $M$ be a closed surface. By $\Homeo(M)$ we denote the group of orientation preserving homeomorphisms of $M$ and let $\MC(M)$ denote the Mapping class group. In this paper we complete the proof of the conjecture of Thurston that says that for any closed ... More

A Thurston boundary for infinite-dimensional Teichmüller spacesMay 15 2018For a compact surface $X_0$, Thurston introduced a compactification of its Teichm\"uller space $\mathcal T(X_0)$ by completing it with a boundary $\mathcal{PML}(X_0)$ consisting of projective measured geodesic laminations. We introduce a similar bordification ... More

Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert SpacesSep 09 2005Some new inequalities for the norm and the numerical radius of composite operators generated by a pair of operators are given.

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.

AQV VI. A holonomy groupoid formulationAug 19 2011The philosophy of the Loop Quantum Gravity approach is to construct the canonical variables by using the duality of infinitesimal connections and holonomies along loops. Based on this fundamental property for example the holonomy-flux *-algebra has been ... 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

Arrêt optimal pour les processus de Markov forts et les fonctions affinesApr 22 2008In this Note we study optimal stopping problems for strong Markov processes and affine functions. We give a justification of the Snell envelope form using standard results of optimal stopping. We also justify the convexity of the value function, and without ... More

About special elements in quaternion algebras over finite fieldsOct 01 2015Mar 30 2016In this paper we study special Fibonacci quaternions and special generalized Fibonacci-Lucas quaternions in quaternion algebras over finite fields.

Lines in positive genus: An introduction to flat surfacesJul 09 2015This text is aimed at undergraduates, or anyone else who enjoys thinking about shapes and numbers. The goal is to encourage the student to think deeply about seemingly simple things. The main objects of study are lines, squares, and the effects of simple ... More

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

Reverses of the Triangle Inequality in Inner Product SpacesMay 26 2004Some new reverses for the generalised triangle inequality in inner product spaces and applications are given. Applications in connection to the Schwarz inequality are provided as well.

New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product SpacesSep 05 2003New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in an earlier paper. Further, they are employed to establish new Gruss type inequalities. ... More

On the Boas-Bellman Inequality in Inner Product SpacesJul 09 2003New results related to the Boas-Bellman generalisation of Bessel's inequality in inner product spaces 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.

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.

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.

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

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.

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.

Metric transforms yielding Gromov hyperbolic spacesOct 13 2017Jul 16 2018A real valued function $\varphi$ of one variable is called a metric transform if for every metric space $(X,d)$ the composition $d_\varphi = \varphi\circ d$ is also a metric on $X$. We give a complete characterization of the class of approximately nondecreasing, ... 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.

Improving Schwarz Inequality in Inner Product SpacesSep 06 2017Some improvements of the celebrated Schwarz inequality in complex inner product spaces are given. Applications for n-tuples of complex numbers are provided.

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.

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

A Fréchet topology on measured laminations and Earthquakes in the hyperbolic planeJun 04 2010We prove that the bijective correspondence between the space of bounded measured laminations $ML_b(\mathbb{H})$ and the universal Teichm\"uller space $T(\mathbb{H})$ given by $\lambda\mapsto E^{\lambda}|_{S^1}$ is a homeomorphism for the Fr\'echet topology ... More

Some Inequalities for Trace Class Operators Via a Kato's ResultSep 25 2014By the use of the celebrated Kato's inequality we obtain in this paper some new inequalities for trace class operators on a complex Hilbert space H. Natural applications for functions defined by power series of normal operators are given as well.

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

On Some Discrete Inequalities in Normed Linear SpacesAug 09 2005Some sharp discrete inequalities in normed linear spaces are obtained. New reverses of the generalised triangle inequality are also given.

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

A General Divergence Measure for Monotonic Functions and Applications in Information TheoryJan 27 2004A general divergence measure for monotonic functions is introduced. Its connections with the f-divergence for convex functions are explored. The main properties are pointed out.

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.

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

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

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

Bounding the Chebychev Functional for a Pair of Sequences in Inner Product SpacesSep 27 2003Some new bounds for the Chebychev functional of a pair of vectors in inner product spaces are pointed out. Reverses for the celebrated Jensen's inequality for convex functions defined on inner product spaces are given as well.

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.

Reverses of the Schwarz Inequality in Inner Product Spaces Generalising a Klamkin-McLenaghan ResultAug 01 2005New reverses of the Schwarz inequality in inner product spaces that incorporate the classical Klamkin-McLenaghan result for the case of positive n-tuples are given. Applications for Lebesgue integrals are also 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.

Some Companions of Gruss Inequality in Inner Product SpacesApr 17 2003Some companions of Gruss inequality in inner product spaces and applications for integrals are given.

New Frontiers for Terrestrial-sized to Neptune-sized Exoplanets In the Era of Extremely Large TelescopesMar 18 2019Surveys reveal that terrestrial- to Neptune-sized planets (1 $< R <$ 4 R$_{\rm{Earth}}$) are the most common type of planets in our galaxy. Detecting and characterizing such small planets around nearby stars holds the key to understanding the diversity ... More

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

Opportunities for Astrophysical Science from the Inner and Outer Solar SystemMar 13 2019Astrophysical measurements away from the 1 AU orbit of Earth can enable several astrophysical science cases that are challenging or impossible to perform from Earthbound platforms, including: building a detailed understanding of the extragalactic background ... More

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

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

Planetary Phase Variations of the 55 Cancri SystemMay 09 2011Jul 22 2011Characterization of the composition, surface properties, and atmospheric conditions of exoplanets is a rapidly progressing field as the data to study such aspects become more accessible. Bright targets, such as the multi-planet 55 Cancri system, allow ... More

A Consistent Orbital Stability Analysis for the GJ 581 SystemApr 16 2014We apply a combination of N-body modeling techniques and automated data fitting with Monte Carlo Markov Chain uncertainty analysis of Keplerian orbital models to radial velocity data to determine long term stability of the planetary system GJ 581. We ... More

Engaging Citizen Scientists to Keep Transit Times Fresh and Ensure the Efficient Use of Transiting Exoplanet Characterization MissionsMar 18 2019This white paper advocates for the creation of a community-wide program to maintain precise mid-transit times of exoplanets that would likely be targeted by future platforms. Given the sheer number of targets that will require careful monitoring between ... More

Scientific Paper Summarization Using Citation Summary NetworksJul 10 2008Quickly moving to a new area of research is painful for researchers due to the vast amount of scientific literature in each field of study. One possible way to overcome this problem is to summarize a scientific topic. In this paper, we propose a model ... More