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Electronic Aromaticity Index for Large RingsDec 16 2015We introduce a new electronic aromaticity index, AV1245, consisting in the average of the 4-center MCI values along the ring that keep a positional relationship of 1,2,4,5. AV1245 measures the extent of transferability of the delocalized electrons between ... More

Partition of Optical Properties Into Orbital ContributionsJul 10 2019Nonlinear optical properties (NLOPs) play a major role in photonics, electro-optics and optoelectronics, and other fields of modern optics. The design of new NLO molecules and materials has benefited from the development of computational tools to analyze ... More

Local descriptors of dynamic and nondynamic correlationMay 08 2019Quantitatively accurate electronic structure calculations rely on the proper description of electron correlation. A judicious choice of the approximate quantum chemistry method depends upon the importance of dynamic and nondynamic correlation, which is ... More

Robust Validation Of Approximate 1-Matrix Functionals With Few-Electron Harmonium AtomsNov 20 2015A simple comparison between the exact and approximate correlation components U of the electron-electron repulsion energy of several states of few-electron harmonium atoms with varying confinement strengths provides a superior validation tool for 1-matrix ... More

Separation of Dynamic and Nondynamic CorrelationAug 15 2016The account of electron correlation and its efficient separation into dynamic and nondynamic parts plays a key role in the development of computational methods. In this paper we suggest a physically-sound matrix formulation to split electron correlation ... More

H$_4$: A Challenging System For Natural Orbital Functional ApproximationsJul 29 2015Oct 24 2015The correct description of nondynamic correlation by electronic structure methods not belonging to the multireference family is a challenging issue. The transition of $D_{2h}$ to $D_{4h}$ symmetry in H$_4$ molecule is among the most simple archetypal ... More

Exact Exchange-Correlation Functional for the Infinitely Stretched Hydrogen MoleculeAug 08 2016The exchange-correlation hole density of the infinitely stretched (dissociated) hydrogen molecule can be cast into a closed analytical form by using its exact wave function. This permits to obtain an explicit exchange-correlation energy functional of ... More

Salient Signature of van der Waals InteractionsOct 10 2017Nov 12 2017van der Waals interactions govern the physics of a plethora of molecular structures. It is well known that the leading term in the distance-based London expansion of the van der Waals energy for atomic and molecular dimers decays as $1/R^6$, where $R$ ... More

The Coulomb Hole of the Ne atomDec 05 2017Jul 10 2019We analyze the Coulomb hole of Ne from highly-accurate CISD wave functions obtained from optimized even-tempered basis sets. Using a two-fold extrapolation procedure we obtain highly accurate results that recover 97\% of the correlation energy. We confirm ... More

The Coulomb Hole of the Ne atomDec 05 2017We analyze the Coulomb hole of Ne from highly-accurate CISD wave functions obtained from optimized even-tempered basis sets. Using a two-fold extrapolation procedure we obtain highly accurate results that recover 97% of the correlation energy. We confirm ... More

The Coulomb Hole of the Ne atomDec 05 2017May 14 2019We analyze the Coulomb hole of Ne from highly-accurate CISD wave functions obtained from optimized even-tempered basis sets. Using a two-fold extrapolation procedure we obtain highly accurate results that recover 97\% of the correlation energy. We confirm ... More

Fermi and Coulomb correlation effects upon the interacting quantum atoms energy partitionAug 08 2016The Interacting Quantum Atoms (IQA) electronic energy partition is an important method in the field of quantum chemical topology which has given important insights of different systems and processes in physical chemistry. There have been several attempts ... More

Bonding Description of the Harpoon MechanismOct 26 2015Nov 11 2015The lowest-lying states of LiH have been widely used to develop and calibrate many different methods in quantum mechanics. In this paper we show that the electron-transfer processes occurring in these two states are a difficult test for chemical bonding ... More

Singling Out Dynamic and Nondynamic CorrelationJul 09 2019The correlation part of the pair density is separated into two components, one of them being predominant at short electronic ranges and the other at long ranges. The analysis of the intracular part of these components permits to classify molecular systems ... More

Goresky-Pardon extensions of Chern classes and associated Tate extensionsOct 14 2015Nov 05 2015Let X be an irreducible complex variety, S a stratification of X and F a holomorphic vector bundle on the open statum. We give geometric conditions on S and F that produce a natural extension of the k-th Chern class F as a class in the complex cohomology ... More

Discrete automorphism groups of convex cones of finite typeAug 02 2009Apr 15 2014We investigate subgroups of SL (n,Z) which preserve an open nondegenerate convex cone in real n-space and admit in that cone as fundamental domain a polyhedral cone of which some faces are allowed to lie on the boundary. Examples are arithmetic groups ... More

C*-dynamical systems associated to Graph C*-AlgebrasJun 29 2011Sep 19 2011We use a characterization of the graph C*-algebras C*(E) as the Stacey crossed product C*(E)^\gamma \times_{\beta_E} N, to study its ideal properties in terms of the (non-classical) C*-dynamical system (C*(E)^\gamma, \beta_E)

Conformal blocks revisitedJul 05 2005We give a simple coordinate free description of the WZW connection and derive its main properties.

Moduli spaces and locally symmetric varietiesApr 15 2014This is a survey paper on moduli spaces that have a natural structure of a (possibly incomplete) locally symmetric variety. We outline the Baily-Borel compactification for such varieties and compare it with the compactifications furnished by techniques ... More

Compactifications defined by arrangements II: locally symmetric varieties of type IVJan 22 2002Apr 26 2002We define a new class of completions of locally symmetric varieties of type IV which interpolates between the Baily-Borel compactification and Mumford's toric compactifications. An arithmetic arrangement in a locally symmetric variety of type IV determines ... More

Note on Archimedean property in ordered vector spacesSep 11 2013It is shown that an ordered vector space $X$ is Archimedean if and only if $\inf\limits_{\tau\in\{\tau\}, y\in L}(x_\tau -y) \ = 0$ for any bounded decreasing net $x_\tau\downarrow$ in $X$, where $L$ is the collection of all lower bounds of $\{x_\tau\}_{\tau}$. ... More

Teichmüller curves in genus two: Square-tiled surfaces and modular curvesMay 22 2019This work is a contribution to the classification of Teichm\"uller curves in the moduli space $\M_2$ of Riemann surfaces of genus 2. While the classification of primitive Teichm\"uller curves in $\M_2$ is complete, the classification of the imprimitive ... More

Homology of the Katsura-Exel-Pardo groupoidJun 25 2018Jun 29 2018We compute the homology of the groupoid associated to the Katsura algebras, and show that they capture the $K$-theory of the $C^*$-algebras, and hence satisfying the (HK) conjecture posted by Matui. Moreover, we show that several classifiable simple $C^*$-algebras ... More

M_g is a union of g-1 affine open subsetsApr 16 1998Apr 22 1998Paper withdrawn. (Lemma 2.1 is false.)

Connectivity of complexes of separating curvesJan 06 2010Feb 08 2012We prove that the separated curve complex of a closed orientable surface of genus g is (g-3)-connected. We also obtain a connectivity property for a separated curve complex of the open surface that is obtained by removing a finite set from a closed one, ... More

Teichmüller curves in genus two: Square-tiled surfaces and modular curvesMay 22 2019Jun 21 2019This work is a contribution to the classification of Teichm\"uller curves in the moduli space $\M_2$ of Riemann surfaces of genus 2. While the classification of primitive Teichm\"uller curves in $\M_2$ is complete, the classification of the imprimitive ... More

Jacobi matrices: continued fractions, approximation, spectrumJul 15 2017Aug 21 2017In this work the spectral theory of self-adjoint operator $A$ represented by Jacobi matrix is considered. The approach is based on the continued fraction representation of the resolvent matrix element of $A$. Different criteria of absolute continuity ... More

Point value characterizations and related results in the full Colombeau algebras G^e and G^dApr 05 2011We present a point value characterization for elements of the elementary full Colombeau algebra G^e and the diffeomorphism invariant full Colombeau algebra G^d. Moreover, several results from the special algebra G^s about generalized numbers and invertibility ... More

Affine Artin groups and the fundamental groups of some moduli spacesJan 26 1998May 29 2007We define for every affine Coxeter graph a certain factor group of the associated Artin group and prove that some of these groups appear as orbifold fundamental groups of moduli spaces. Examples are the moduli space of nonsingular cubic algebraic surfaces ... More

Uniformization by Lauricella functions--an overview of the theory of Deligne-MostowJul 26 2005This is a survey of the Deligne-Mostow theory of Lauricella functions, or what almost amounts to the same thing, of the period map for cyclic coverings of the Riemann sphere.

Compactifications defined by arrangements I: the ball quotient caseJun 27 2001Aug 17 2001We define a natural compactification of an arrangement complement in a ball quotient. We show that when this complement has a moduli space interpretation, then this compactification is often one that appears naturally by means of geometric invariant theory. ... More

Cohomological amplitude for constructible sheaves on moduli spaces of curvesMar 20 2012Aug 30 2013We give bounds for the cohomology of constructible sheaves on the moduli stacks M_{g,n} over the complex field. This enables us recover Harer's bound for the virtual cohomological dimension of the associated mapping class groups as well the theorem of ... More

On one condition of absolutely continuous spectrum for self-adjoint operators and its applicationsNov 02 2017In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operators is considered. For the analysis it is used an approximation of self-adjoint operator $A$ by a sequence of operators $A_n$ with absolutely continuous ... More

Hierarchies for Relatively Hyperbolic Virtually Special GroupsMar 28 2019Wise's Quasiconvex Hierarchy Theorem classifying hyperbolic virtually compact special groups in terms of quasiconvex hierarchies played an essential role in Agol's proof of the Virtual Haken Conjecture. Answering a question of Wise, we construct a new ... More

The period map for cubic fourfoldsMay 07 2007The period map for cubic fourfolds takes values in a locally symmetric variety of orthogonal type of dimension 20. We determine the image of this period map (thus confirming a conjecture of Hassett) and give at the same time a new proof of the theorem ... More

A topological interpretation of the KZ systemMar 10 2010Jan 11 2011We show that the KZ system has a purely topological interpretation in the sense that it may be understood as a variation of complex mixed Hodge structure whose successive pure weight quotients are polarized. This in a sense completes and elucidates work ... More

Pricing financial derivatives by a minimizing methodNov 27 2008Oct 10 2013We shall study backward stochastic differential equations and we will present a new approach for the existence of the solution. This type of equation appears very often in the valuation of financial derivatives in complete markets. Therefore, the identification ... More

The dynamical systems approach to the equations of a linearly viscous compressible barotropic fluidApr 28 2003We develop a dynamical systems theory for the compressible Navier-Stokes equations based on global in time weak solutions. The following questions will be addressed: Global existence and critical values of the adiabatic constant; dissipativity in the ... More

An Effective Guide to Beyond the Standard Model PhysicsJun 24 2014Jul 23 2014Effective Lagrangians with dimension-six operators are widely used to analyse Higgs and other electroweak data. We show how to build a basis of operators such that each operator corresponds to a coupling which is well measured or will be in the future. ... More

Physics and Cosmology : the Milli-Electron-Volt ScaleFeb 27 2009A short review about vacuum energy and the cosmological constant is presented. The observed acceleration of the universe introduces a new meV energy scale. The problem is that, theoretically, the predicted vacuum energy is many orders of magnitude larger ... More

On universality of the coupling of neutrinos to ZMay 30 2002Sep 10 2002We employ an effective Lagrangian approach and use LEP data to place severe bounds on universality violations of the couplings of $\nu_e$, $\nu_\mu$, and $\nu_\tau$ to the $Z$ boson. Our results justify the assumption of universality in these couplings ... More

On Quantum-Geometric Connections and Propagators in Curved SpacetimeOct 04 1995The basic properties of Poincare gauge invariant Hilbert bundles over Lorentzian manifolds are derived. Quantum connections are introduced in such bundles, which govern a parallel transport that is shown to satisfy the strong equivalence principle in ... More

Behavioral Program Logic and LAGC Semantics without Continuations (Technical Report)Apr 30 2019We present Behavioral Program Logic (BPL), a dynamic logic for trace properties that incorporates concepts from behavioral types and allows reasoning about non-functional properties within a sequent calculus. BPL uses behavioral modalities [s |- {\tau} ... More

The beginnings of symplectic topology in Bochum in the early eightiesJun 14 2019I outline the history and the original proof of the Arnold conjecture on fixed points of Hamiltonian maps for the special case of the torus, leading to a sketch of the proof for general symplectic manifolds and to Floer homology. This is the written version ... More

Two-sided localizations of bimodulesJun 18 2008We extend to bimodules Schelter's localization of a ring with respect to Gabriel filters of left and right ideals. Our two-sided localization of bimodules provides an endofunctor on a convenient bicategory of rings with filters of ideals. This is used ... More

Invariants of quartic plane curves as automorphic formsMay 25 2005We identify the algebra of regular functions on the space of quartic polynomials in three complex variables invariant under SL(3,C) with an algebra of meromorphic automorphic forms on the complex 6-ball. We also discuss the underlying geometry.

Bornologically isomorphic representations of distributions on manifoldsMay 09 2011Distributional tensor fields can be regarded as multilinear mappings with distributional values or as (classical) tensor fields with distributional coefficients. We show that the corresponding isomorphisms hold also in the bornological setting.

Goresky-Pardon lifts of Chern classes and associated Tate extensionsOct 14 2015Mar 03 2017Let X be an irreducible complex variety, S a stratification of X and F a holomorphic vector bundle on the open statum. We give geometric conditions on S and F that produce a natural extension of the k-th Chern class F as a class in the complex cohomology ... More

Magnetic hysteresis in the Cu-Al-Mn intermetallic alloy: experiments and modelingMay 14 1999We study isothermal magnetization processes in the Cu-Al-Mn intermetallic alloy. Hysteresis is observed at temperatures below the spin-freezing of the system. The characteristics of the hysteresis cycles as a function of temperature and Mn content (magnetic ... More

The Electron-pair Density Distribution of the ${^{1,3}Π_u}$ Excited States of H$_2$Jun 06 2016The non-monotonic behavior of the electron repulsion energy and the interelectronic distance, as a function of the internuclear separation, in the $^{3}\Pi_{u}$ excited state of the hydrogen molecule has been assessed by explicitly calculation and analysis ... More

Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functionsMar 28 2016We define and characterize spaces of manifold-valued generalized functions and generalized vector bundle homomorphisms in the setting of the full diffeomorphism-invariant vector-valued Colombeau algebra. Furthermore, we establish point value characterizations ... More

On a nonlinear Peetre theorem in full Colombeau algebrasJan 25 2016We adapt a nonlinear version of Peetre's theorem on local operators in order to investigate representatives of nonlinear generalized functions occurring in the theory of full Colombeau algebras.

A note on sensitivity of semigroup actionsJul 18 2006It is well known that for a transitive dynamical system (X,f) sensitivity to initial conditions follows from the assumption that the periodic points are dense. This was done by several authors: Banks, Brooks, Cairns, Davis and Stacey, Silverman, and also ... More

Transceiver Design for GFDM with Index Modulation in Multi-user NetworksJun 12 2018Index modulation (IM) techniques can be applied to the different media in order to achieve spectral- and energy-efficient communication as well as to the indices of the subcarriers of a generalized frequency division multiplexing (GFDM) data block. In ... More

Uplink and Downlink Transceiver Design for OFDM with Index Modulation in Multi-user NetworksJan 30 2018A new modulation scheme called OFDM with index modulation (OFDM-IM) is introduced recently. This scheme allows to transmit additional bits by mapping a part of incoming bit stream to the indices of the subcarriers. In this work, performance of OFDM-IM ... More

Baryon-antibaryon dynamics in relativistic heavy-ion collisionsJan 23 2018Apr 03 2018The dynamics of baryon-antibaryon annihilation and reproduction ($B{\bar B} \leftrightarrow 3 M$) is studied within the Parton-Hadron-String Dynamics (PHSD) transport approach for Pb+Pb and Au+Au collisions as a function of centrality from lower Super ... More

Modelling large-deforming fluid-saturated porous media using an Eulerian incremental formulationOct 14 2016Jan 16 2018The paper deals with modelling fluid saturated porous media subject to large deformation. An Eulerian incremental formulation is derived using the problem imposed in the spatial configuration in terms of the equilibrium equation and the mass conservation. ... More

Lightlike real hypersurfaces of paraquaternionic manifoldsMay 28 2004Dec 17 2004The main purpose of this paper is to give fundamental properties of real lightlike hypersurfaces of paraquaternionic manifolds and to prove the non-existence of real lightlike hypersurfaces in paraquaternionic space forms under some conditions.

A transference result of the L^p continuity of the Jacobi Littlewood-Paley g-function to the Gaussian and Laguerre Littlewood-Paley g-functionDec 15 2016A transference result of the L^p continuity of the Jacobi Littlewood-Paley g-function to the Gaussian and Laguerre Littlewood-Paley g-function.

On Sectorial L-systems with Shrödinger operatorSep 21 2017We study L-systems with sectorial main operator and connections of their impedance functions with sectorial Stieltjes and inverse Stieltjes functions. Conditions when the main and state space operators (the main and associated state space operators) of ... More

Scale interactions in compressible rotating fluidsFeb 01 2013We study a triple singular limit for the scaled barotropic Navier-Stokes system modeling the motion of a rotating, compressible, and viscous fluid, where the Mach and Rossby numbers are proportional to a small parameter, while the Reynolds number becomes ... More

The moduli space of rational elliptic surfacesOct 02 2000Jan 10 2001We show that the moduli space of rational elliptic surfaces admitting a section is locally a complex hyperbolic variety of dimension eight. We compare its Satake-Baily-Borel compactification with a compactification obtained by means of geometric invariant ... More

The stable cohomology of the Satake compactification of $\mathcal{A}_g$Aug 23 2015Sep 10 2016Charney and Lee have shown that the rational cohomology of the Satake-Baily-Borel compactification the moduli space of principally polarized abelian varieties of dimension g stabilizes as g grows and they computed this stable cohomology as a Hopf algebra. ... More

Needles and straw in a haystack: robust empirical Bayes confidence for possibly sparse sequencesNov 05 2015Nov 26 2016In the general signal+noise model we construct an empirical Bayes posterior which we then use for uncertainty quantification for the unknown, possibly sparse, signal. We introduce a novel excessive bias restriction (EBR) condition, which gives rise to ... More

End-to-end Sequence Labeling via Bi-directional LSTM-CNNs-CRFMar 04 2016May 29 2016State-of-the-art sequence labeling systems traditionally require large amounts of task-specific knowledge in the form of hand-crafted features and data pre-processing. In this paper, we introduce a novel neutral network architecture that benefits from ... More

Modelling large-deforming fluid-saturated porous media using an Eulerian incremental formulationOct 14 2016The paper deals with modelling fluid saturated porous media subject to large deformation. An Eulerian incremental formulation is derived using the problem imposed in the spatial configuration in terms of the equilibrium equation and the mass conservation. ... More

Hysteresis and Avalanches in the Random Anisotropy Ising ModelDec 29 2000The behaviour of the Random Anisotropy Ising model at T=0 under local relaxation dynamics is studied. The model includes a dominant ferromagnetic interaction and assumes an infinite anisotropy at each site along local anisotropy axes which are randomly ... More

On the Weyl-Titchmarsh and Livšic functionsJan 19 2013We establish a mutual relationship between main analytic objects for the dissipative extension theory of a symmetric operator $\dot A$ with deficiency indices $(1,1)$. In particular, we introduce the Weyl-Titchmarsh function $\cM$ of a maximal dissipative ... More

Online Tracking of a Predictable Drifting Parameter of a Time SeriesJun 03 2013Nov 14 2013We propose an online algorithm for tracking a multidimensional time-varying parameter of a time series, which is also allowed to be a predictable process with respect to the underlying time series. The algorithm is driven by a gain function. Under assumptions ... More

Adaptive Priors based on Splines with Random KnotsMar 14 2013Splines are useful building blocks when constructing priors on nonparametric models indexed by functions. Recently it has been established in the literature that hierarchical priors based on splines with a random number of equally spaced knots and random ... More

On strong continuity of weak solutions to the compressible Euler systemApr 30 2019Let $\mathcal{S} = \{ \tau_n \}_{n=1}^\infty \subset (0,T)$ be an arbitrary countable (dense) set. We show that for any given initial density and momentum, the compressible Euler system admits (infinitely many) admissible weak solutions that are not strongly ... More

Relative cubulations and groups with a 2-sphere boundaryFeb 21 2019We introduce a new kind of action of a relatively hyperbolic group on a CAT(0) cube complex, called a relatively geometric action. We provide an application to characterize finite-volume Kleinian groups in terms of action on cube complexes, analogous ... More

Combinatorial Modeling and Test Case Generation for Industrial Control Software using ACTSMar 23 2018Jun 11 2018Combinatorial testing has been suggested as an effective method of creating test cases at a lower cost. However, industrially applicable tools for modeling and combinatorial test generation are still scarce. As a direct effect, combinatorial testing has ... More

Homogenization of the vibro-acoustic transmission on perforated platesJan 01 2019The paper deals with modelling of acoustic waves which propagate in inviscid fluids interacting with perforated elastic plates. The plate can be replaced by an interface on which transmission conditions are derived by homogenization of a problem describing ... More

Mapping Class Groups and Moduli Spaces of CurvesJul 04 1996Nov 04 1996This is a survey paper that also contains some new results. It will appear in the proceedings of the AMS summer research institute on Algebraic Geometry at Santa Cruz.

Perturbations of Donoghue classes and inverse problems for L-systemsJun 17 2018Oct 02 2018We study linear perturbations of Donoghue classes of scalar Herglotz-Nevanlinna functions by a real parameter $Q$ and their representations as impedance of conservative L-systems. Perturbation classes $\mathfrak M^Q$, $\mathfrak M^Q_\kappa$, $\mathfrak ... More

A perfect stratification of M_g for g at most 5Aug 25 2007Jun 23 2008We find for g at most 5 a stratification of depth g-2 of the moduli space of curves M_g with the property that its strata are affine and the classes of their closures provide a Q-basis for the Chow ring of M_g. The first property confirms a conjecture ... More

On Matrix-Valued Herglotz FunctionsDec 11 1997We provide a comprehensive analysis of matrix-valued Herglotz functions and illustrate their applications in the spectral theory of self-adjoint Hamiltonian systems including matrix-valued Schr\"odinger and Dirac-type operators. Special emphasis is devoted ... More

Archimedeanization of ordered vector spacesJun 13 2014Aug 22 2014In the case of an ordered vector space with an order unit, the Archimedeanization method has been developed recently by V.I Paulsen and M. Tomforde. We present a general version of the Archimedeanization which covers arbitrary ordered vector spaces.

Non-self-adjoint Jacobi matrices with rank one imaginary partFeb 02 2006We develop direct and inverse spectral analysis for finite and semi-infinite non-self-adjoint Jacobi matrices with a rank one imaginary part. It is shown that given a set of $n$ not necessarily distinct non-real numbers in the open upper (lower) half-plane ... More

The fine structure of Kontsevich-Zorich strata for genus 3Aug 21 2012We give a description of the Kontsevich-Zorich strata for genus 3 in terms of root system data. For each non-open stratum we obtain a presentation of its orbifold fundamental group.

Comparison of Sinogram-based Iterative Reconstruction with Compressed Sensing Techniques in X-ray CTSep 21 2018Performing X-ray computed tomography (CT) examinations with less radiation has recently received increasing interest: in medical imaging this means less (potentially harmful) radiation for the patient; in non-destructive testing of materials/objects such ... More

Needles and straw in a haystack: robust empirical Bayes confidence for possibly sparse sequencesNov 05 2015Apr 04 2016In the many normal means model we construct an empirical Bayes posterior which we then use for uncertainty quantification for the unknown (possibly sparse) parameter by constructing an estimator and a confidence set around it as empirical Bayes credible ... More

Baryon-antibaryon dynamics in relativistic heavy-ion collisionsJan 23 2018The dynamics of baryon-antibaryon annihilation and reproduction ($B{\bar B} \leftrightarrow 3 M$) is studied within the Parton-Hadron-String Dynamics (PHSD) transport approach for Pb+Pb and Au+Au collisions as a function of centrality from lower Super ... More

Nonlinear generalized sections and vector bundle homomorphisms in Colombeau spaces of generalized functionsMar 28 2016Mar 16 2018We define and characterize spaces of manifold-valued generalized functions and generalized vector bundle homomorphisms in the setting of the full diffeomorphism-invariant vector-valued Colombeau algebra. Furthermore, we establish point value characterizations ... More

Manifold-valued generalized functions in full Colombeau spacesMar 30 2011Oct 12 2011We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle ... More

Spacetimes with distributional semi-Riemannian metrics and their curvatureFeb 18 2019We develop a comprehensive geometric framework for the rigorous treatment of metrics with low regularity by means of regularization methods. The resulting tensor calculus is used to calculate the curvature of the conical metric describing cosmic strings. ... More

3-submersions from QR-hypersurfaces of quaternionic Kaehler manifoldsJun 12 2011In this paper we study 3-submersions from a QR-hypersurface of a quaternionic Kaehler manifold onto an almost quaternionic hermitian manifold. We also prove the non-existence of quaternionic submersions between quaternionic Kaehler manifolds which are ... More

Performance of Media-based Modulation in Multi-user NetworksJan 30 2018High spectral efficiency and low power consumption are the most challenging requirements of 5G networks since the number of devices are increased drastically. Media-based modulation (MBM) is a promising scheme in order to achieve these requirements. In ... More

The period map for cubic threefoldsAug 11 2006Allcock-Carlson-Toledo defined a period map for cubic threefolds which takes values in a ball quotient of dimension 10. A theorem of Voisin implies that this is an open embedding. We determine its image and show that on the algebraic level this amounts ... More

On the unitary nature of abelian conformal blocksNov 06 2007We determine the projectively flat unitary structure on abelian conformal blocks in terms of WZW-data.

Low complexity sum rate maximization for single and multiple stream MIMO AF relay networksNov 26 2012A multiple-antenna amplify-and-forward two-hop interference network with multiple links and multiple relays is considered. We optimize transmit precoders, receive decoders and relay AF matrices to maximize the achievable sum rate. Under per user and total ... More

The structure of crossed products by endomorphismsSep 19 2011We describe simplicity of the Stacey crossed product A\times_\beta \N in terms of conditions of the endomorphism \beta. Then, we use a characterization of the graph C*-algebras C*(E) as the Stacey crossed product C*(E)^\gamma\times_{\beta_E}\N to study ... More

Homogenization of the fluid-saturated piezoelectric porous mediaJan 16 2018The paper is devoted to the homogenization of porous piezoelectric materials saturated by electrically inert fluid. The solid part of a representative volume element consists of the piezoelectric skeleton with embedded conductors. The pore fluid in the ... More

The global bifurcation picture for ground states in nonlinear Schrodinger equationsNov 14 2018In this paper, we propose a method of finding all coherent structures supported by a given nonlinear wave equation. It relies on enhancing the recent global bifurcation theory as developed by Dancer, Toland, Buffoni and others, by determining all the ... More

Equimatchable factor-critical graphs and independence number 2Jan 29 2015A graph is equimatchable if each of its matchings is a subset of a maximum matching. It is known that any 2-connected equimatchable graph is either bipartite, or factor-critical, and that these two classes are disjoint. This paper provides a description ... More

Needles and straw in a haystack: robust empirical Bayes confidence for possibly sparse sequencesNov 05 2015Nov 11 2016In the general signal+noise model we construct an empirical Bayes posterior which we then use for uncertainty quantification for the unknown, possibly sparse, signal. We introduce a novel excessive bias restriction (EBR) condition, which gives rise to ... More

Topological Full Groups of Ample Groupoids with Applications to Graph AlgebrasJun 28 2018Sep 25 2018We study the topological full group of ample groupoids over locally compact spaces. We extend Matui's definition of the topological full group from the compact, to the locally compact case. We provide two general classes of groupoids for which the topological ... More

Dynamics of electron beams in the solar corona plasma with density fluctuationsApr 11 2019The problem of beam propagation in a plasma with small scale and low intensity inhomogeneities is investigated. It is shown that the electron beam propagates in a plasma as a beam-plasma structure and is a source of Langmuir waves. The plasma inhomogeneity ... More