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Extraction of Generalized Parton Distribution Observables from Deeply Virtual Electron Proton Scattering ExperimentsMar 13 2019We provide the general expression of the cross section for exclusive deeply virtual photon electroproduction from a spin 1/2 target using current parameterizations of the off-forward correlation function in a nucleon for different beam and target polarization ... More

Orthogonal Schurs for Classical Gauge GroupsSep 04 2013Finite N physics of half-BPS operators for gauge groups SO(N) and Sp(N) has recently been studied[1, 2]. Among other things they showed that, alike U(N), Schur operators (but in the square of their eigenvalues) diagonalize the free field two-point function ... More

A family of acyclic functorsJun 14 2007Nov 08 2007We determine a family of functors from a poset to abelian groups such that the higher direct limits vanish on them. This is done by first characterizing the projective functors. Then a spectral sequence arising from the grading of the poset is used. Also ... More

Novel charges in CFT'sJun 30 2014In this paper we construct two infinite sets of self-adjoint commuting charges for a quite general CFT. They come out naturally by considering an infinite embedding chain of Lie algebras, an underlying structure that share all theories with gauge groups ... More

Causality and surrogate variable analysisApr 03 2017Gene expression depends on thousands of factors and we usually only have access to tens or hundreds of observations of gene expression levels meaning we are in a high-dimensional setting. Additionally we don't always observe or care about all the factors. ... More

Análisis de cointegración con una aplicación al mercado de deuda en Estados Unidos, Canadá y MéxicoApr 03 2017Certain theoretical aspects of vector autoregression (VAR) as tools to model economic time series are revised, in particular their capacity to include both short term and long term information. The VAR model, in its error correction form, is derived and ... More

Status of Sterile Neutrino fits with Global DataOct 12 2017Feb 20 2018A number of short baseline neutrino oscillation experiments have observed an anomalous excess of neutrinos in the low energy range. This may hint towards the existence of additional neutrino mass splittings. If true, additional sterile (non-interacting) ... More

Combined use of mixed and hybrid finite elements method with domain decomposition and spectral methods for a study of renormalization for the KPZ modelJan 10 2019The focus of this work is the numerical approximation of time-dependent partial differential equations associated to initial-boundary value problems. This master dissertation is mostly concerned with the actual computation of the solution to nonlinear ... More

Pseudo-Query ReformulationJul 14 2015Automatic query reformulation refers to rewriting a user's original query in order to improve the ranking of retrieval results compared to the original query. We present a general framework for automatic query reformulation based on discrete optimization. ... More

On Random Operator-Valued Matrices: Operator-Valued Semicircular Mixtures and Central Limit TheoremOct 13 2014Motivated by a random matrix theory model from wireless communications, we define random operator-valued matrices as the elements of $L^{\infty-}(\Omega,{\mathcal F},{\mathbb P}) \otimes M_d({\mathcal A})$ where $(\Omega,{\mathcal F},{\mathbb P})$ is ... More

Sparse mean localization by information theoryApr 03 2017Sparse feature selection is necessary when we fit statistical models, we have access to a large group of features, don't know which are relevant, but assume that most are not. Alternatively, when the number of features is larger than the available data ... More

Online deforestation detectionApr 03 2017Deforestation detection using satellite images can make an important contribution to forest management. Current approaches can be broadly divided into those that compare two images taken at similar periods of the year and those that monitor changes by ... More

Tensor and Matrix models: a one-night stand or a lifetime romance?Mar 12 2018Mar 28 2018The spectra of energy eigenstates of free tensor and matrix models are organized by Kronecker coefficients and Littlewood-Richardson numbers, respectively. Exploiting recent results in combinatorics for Kronecker coefficients, we derive a formula that ... More

Magneto-elastic waves in crystals of magnetic moleculesMay 02 2007We study magneto-elastic effects in crystals of magnetic molecules. Coupled equations of motion for spins and sound are derived and the possibility of strong resonant magneto-acoustic coupling is demonstrated. Dispersion laws for interacting linear sound ... More

Field Dependence of the Electron Spin Relaxation in Quantum DotsApr 18 2005Interaction of the electron spin with local elastic twists due to transverse phonons has been studied. Universal dependence of the spin relaxation rate on the strength and direction of the magnetic field has been obtained in terms of the electron gyromagnetic ... More

Lorentz and CPT violation in the Neutrino SectorJul 25 2013Searches for Lorentz and CPT violation using neutrino oscillations and the prospects for future tests using neutrino time-of-flight measurements and beta-decay experiments are presented.

Phenomenological analysis of the Two Higgs Doublet ModelDec 16 2002Apr 28 2003The Two Higgs Doublet model and its phenomenological implications are discussed. A brief survey on the present status of this model is given. In particular, we concentrate on the Two Higgs Doublet Model with Flavor Changing Neutral Currents. First, we ... More

Stop Decays with R-Parity Violation and the Neutrino MassNov 08 1999The atmospheric and solar neutrino problems can be explained in a supersymmetric scenario where R-parity is broken bilinearly. Within this context we explore the decays of the top squark. We find that the Rp violating decay $\tilde t_1 -> b \tau$ can ... More

Gauge and Yukawa Unification in SUSY with Bilinearly Broken R-ParitySep 21 1999In a supersymmetric model where R-Parity and lepton number are violated bilinearly in the superpotential, which can explain the solar and atmospheric neutrino problems, we study the unification of gauge and Yukawa couplings at the GUT scale. We show that ... More

Renormalizing Coupled Scalars with a Momentum Dependent Mixing Angle in the MSSMAug 18 1994The renormalization of a system of coupled scalars fields is analyzed. By introducing a momentum dependent mixing angle we diagonalize the inverse propagator matrix at any momentum $p^2$. The zeros of the inverse propagator matrix, \ie, the physical masses, ... More

Closing the Light Gluino Window in Supersymmetric Grand Unified ModelsApr 07 1994Jun 01 1994We study the light gluino scenario giving special attention to constraints from the masses of the light CP-even neutral Higgs $m_h$, the lightest chargino $m_{\chi^{\pm}_1}$, and the second lightest neutralino $m_{\chi^0_2}$, and from the $b\rightarrow ... More

Diagonalization of Coupled Scalars and its Application to the Supersymmetric Neutral Higgs SectorMay 30 1997We introduce a momentum dependent mixing angle $\alpha(p^2)$ which allow us to diagonalize at any external momentum $p$ the one-loop corrected inverse propagator matrix of two coupled scalar fields while keeping the full momentum dependence in the self ... More

Multi-line Doppler imaging of MR Ser in high-stateNov 05 2008Doppler images in Balmer, HeI, HeII and CII lines, and simultaneous I-band photometry of the polar MR Ser are presented and analyzed. The Balmer and Helium Doppler tomograms of this bright polar at high mass transfer state show the emission from the accretion ... More

Dynamical collective potential energy landscape: its impact on the competition between fusion and quasi-fission in a heavy fusing systemMay 16 2006A realistic microscopically-based quantum approach to the competition between fusion and quasi-fission in a heavy fusing system is applied to several reactions leading to $^{256}$No. Fusion and quasi-fission are described in terms of a diffusion process ... More

Solving the two-center nuclear shell-model problem with arbitrarily-orientated deformed potentialsOct 02 2008A general new technique to solve the two-center problem with arbitrarily-orientated deformed realistic potentials is demonstrated, which is based on the powerful potential separable expansion method. As an example, molecular single-particle spectra for ... More

PLATYPUS: a code for fusion and breakup in reactions induced by weakly-bound nuclei within a classical trajectory model with stochastic breakupDec 14 2007Jan 18 2011A self-contained Fortran-90 program based on a classical trajectory model with stochastic breakup is presented, which should be a powerful tool for quantifying complete and incomplete fusion, and breakup in reactions induced by weakly-bound two-body projectiles ... More

The Evolution of Stellar PopulationsMar 14 2001We summarize the discussion section on ``Evolution of Stellar Populations'' we led on May 27, 2000 in Granada, Spain, as part of the Euroconference on The Evolution of Galaxies. I- Observational Clues. We also provide a partial comparison between the ... More

Homological Quantum Field TheorySep 22 2005Jun 23 2008We show that the space of chains of smooth maps from spheres into a fixed compact oriented manifold has a natural structure of a transversal $d$-algebra. We construct a structure of transversal 1-category on the space of chains of maps from a suspension ... More

Polyakov formulas for GJMS operators from AdS/CFTMar 04 2008Apr 15 2008We argue that the AdS/CFT calculational prescription for double-trace deformations leads to a holographic derivation of the conformal anomaly, and its conformal primitive, associated to the whole family of conformally covariant powers of the Laplacian ... More

K-Essential Phantom Energy: Doomsday around the corner?Dec 22 2003In spite of its rather weird properties which include violation of the dominant-energy condition, the requirement of superluminal sound speed and increasing vacuum-energy density, phantom energy has recently attracted a lot of scientific and popular interests. ... More

Rost nilpotence and higher unramified cohomologyJul 21 2018Sep 17 2018We develop an approach to proving the Rost nilpotence principle involving higher unramified cohomology. We use this to prove the principle for certain varieties of dimension $\leq 3$ over a perfect field.

Non-divisible cycles on products of very general Abelian varietiesJun 24 2018In this paper, we give a recipe for producing infinitely many non-divisible codimension $2$ cycles on a product of two or more very general Abelian varieties. In the process, we introduce the notion of "field of definition" for cycles in the Chow group ... More

The standard conjectures for the variety of lines on a cubic hypersurfaceJun 20 2017The purpose of this note is to prove Grothendieck's standard conjectures for the Fano variety of lines on a smooth cubic hypersurface in projective space.

Limit points of lines of minima in Thurston's boundary of Teichmueller spaceMar 09 2003Given two measured laminations mu and nu in a hyperbolic surface which fill up the surface, Kerckhoff [Lines of Minima in Teichmueller space, Duke Math J. 65 (1992) 187-213] defines an associated line of minima along which convex combinations of the length ... More

Proper isometric actionsNov 04 2008We prove the following to results: (1) A subgroup G of the isometry group of a Riemannian manifold M acts properly on M if and only if G is closed in the isometry group of M. (2) The orbits of an isometric action are closed if and only if the action is ... More

Overview of Lorentz Violation in NeutrinosSep 21 2011A general introduction to Lorentz and CPT violation is presented. The observable effects of the breakdown of such fundamental symmetries in neutrinos are outlined and different experimental searches of some of the key signals of Lorentz violation are ... More

Analytical Solution for Wave Propagation in Stratified Poroelastic Medium. Part II: the 3D CaseJul 25 2008We are interested in the modeling of wave propagation in poroelastic media. We consider the biphasic Biot's model in an infinite bilayered medium with a plane interface. We adopt the Cagniard-De Hoop's technique. This report is devoted to the calculation ... More

Two-dimensional Hawking radiation from the AdS/CFT correspondenceApr 04 2008The AdS/CFT correspondence has been tested through the reproduction of standard results. Following this approach, we use the correspondence to obtain the Hawking temperature of a black hole in 1+1 dimensions. Using an auxiliary Liouville field, the holographic ... More

A probabilistic regulatory network for the human immune systemAug 17 2007In this paper we made a review of some papers about probabilistic regulatory networks (PRN), in particular we introduce our concept of homomorphisms of PRN with an example of projection of a regulatory network to a smaller one. We apply the model PRN ... More

Charged Higgs Sector with and without R--ParityOct 03 1997The simplest way of studying systematically R-parity violating phenomena is by introducing a bilinear term in the superpotential of the type $\epsilon\hat L\hat H_2$, which violates R-parity and lepton number but keep barion number conserved. In its simplest ... More

The Effect of Supersymmetric Particles on b -> s γDecay in Supergravity ModelsSep 20 1993The effect of loops involving charginos with up-type squarks, and gluinos with down-type squarks, on the inclusive decay mode $b\rightarrow s\gamma$ is studied in the context of minimal $N=1$ Supergravity models with a radiatively broken electroweak symmetry ... More

Neutrinos in SupersymmetryJul 04 2005We briefly review the neutrino mass generation mechanism in supersymmetry with Bilinear R-Parity Violation in Minimal Supergravity and Anomaly Mediated Supersymmetry Breaking.

The Decay b -> s gamma, the Higgs Boson Mass, and Yukawa Unification without R-ParityMay 20 1999We review some properties of Bilinear R-Parity Violating models: simple extensions of the Minimal Supersymmetric Standard Model motivated by spontaneous breaking of R-Parity. We concentrate on the relaxation of the bounds on the charged Higgs mass imposed ... More

Constraints on Supergravity in the Light Gluino ScenarioJun 10 1994Minimal $N=1$ supergravity with a radiatively broken electroweak symmetry group is studied in the light gluino scenario. Constraints from the $b\rightarrow s\gamma$ decay and from the masses of the light CP-even neutral Higgs $m_h$, the lightest chargino ... More

An identity in Rota-Baxter algebrasDec 07 2006Jan 06 2016We give explicit formulae and study the combinatorics of an identity holding in all Rota-Baxter algebras. We describe the specialization of this identity for a couple of examples of Rota-Baxter algebras.

Absence of decoherence in the complex potential approach to nuclear scatteringMay 01 2010Time-dependent density-matrix propagation is used to demonstrate, in a schematic model of an open quantum system, that the complex potential approach and the Lindblad dissipative dynamics are \emph{not} equivalent. While the former preserves coherence, ... More

Rota-Baxter CategoriesJun 07 2007Feb 03 2009We introduce Rota-Baxter categories and construct examples of such structures.

On tachyon and sub-quantum phantom cosmologiesAug 30 2004This paper deals with dark and phantom energy in the tachyon and sub-quantum models for dark energy. We obtain that the simplest condition for such a regime to occur in these scenarios is that the scalar field be Wick rotated to imaginary values which ... More

Dark energy without dark energyAug 29 2006It is proposed that the current acceleration of the universe is not originated by the existence of a mysterious dark energy fluid nor by the action of extra terms in the gravity Lagrangian, but just from the sub-quantum potential associated with the CMB ... More

Some notes on the Big TripJul 20 2006The big trip is a cosmological process thought to occur in the future by which the entire universe would be engulfed inside a gigantic wormhole and might travel through it along space and time. In this paper we discuss different arguments that have been ... More

Tensorial perturbations in the bulk of inflating brane worldsAug 21 2003In this paper we consider the stability of some inflating brane-world models in quantum cosmology. It is shown that whereas the singular model based on the construction of inflating branes from Euclidean five-dimensional anti-de Sitter space is unstable ... More

The Chow ring of a cubic hypersurfaceJul 21 2018We study the product structure on the Chow ring (with rational coefficients) of a cubic hypersurface in projective space and prove that the image of the product map is as small as possible.

The Chow group mod $\ell$ for a product of elliptic curvesJul 01 2017Generalizing work of Schoen, we prove that the Chow group modulo $\ell$ of a product of $3$ or more very general complex elliptic curves is infinite.

Dirichlet to Neumann operator for abelian Yang-Mills gauge fieldsAug 03 2015Jun 30 2017We consider the Dirichlet to Neumann operator for abelian Yang- Mills boundary conditions. We treat the case for space-time manifolds with general smooth boundary components. The aim is constructing a complex structure for the symplectic space of boundary ... More

Lorentz and CPT violation in neutrino oscillationsAug 02 2010Neutrino oscillations in the presence of Lorentz violation can present novel observable signals in both long- and short-baseline experiments. In this talk we describe the theory and its different regimes depending on properties of the experiments. CPT ... More

Analytical Solution for Wave Propagation in Stratified Poroelastic Medium. Part I: the 2D CaseJul 24 2008We are interested in the modeling of wave propagation in poroelastic media. We consider the biphasic Biot's model in an infinite bilayered medium, with a plane interface. We adopt the Cagniard-De Hoop's technique. This report is devoted to the calculation ... More

Invariants from classical field theoryMay 08 2007May 12 2008We introduce a method that generates invariant functions from perturbative classical field theories depending on external parameters. Applying our methods to several field theories such as abelian BF, Chern-Simons and 2-dimensional Yang-Mills theory, ... More

Constraining the orbital history of the Magellanic Clouds: A new bound scenario suggested by the tidal origin of the Magellanic StreamJan 13 2011Bound orbits have traditionally been assigned to the Large and Small Magellanic Clouds (LMC and SMC, respectively) in order to provide a formation scenario for the Magellanic Stream (MS) and its Leading Arm (LA), two prominent neutral hydrogen (HI) features ... More

q,k-generalized gamma and beta functionsMay 21 2004Jun 11 2004We introduce the q,k-generalized Pochhammer symbol. We construct $\Gamma_{q,k}$ and $B_{q,k}$, the q,k-generalized gamma and beta fuctions, and show that they satisfy properties that generalize those satisfied by the classical gamma and beta functions. ... More

Extracting SUSY Parameters from Selectron and Chargino ProductionAug 08 1997We review the extraction of fundamental supersymmetric parameters from experimental observables related to the detection of charginos and selectrons at $e^+e^-$ colliders. We consider supergravity models with universal scalar and gaugino masses and radiatively ... More

Chargino Production in Different Supergravity Models and the Effect of the TadpolesSep 25 1996If the lightest chargino is discovered at LEP2, the measurement of its mass and cross section together with the mass of the lightest neutralino, enables the determination of the parameters that define the theory and the entire supersymmetric and Higgs ... More

Is a Light Gluino Compatible with N=1 Supersymmetry?Aug 18 1994Using the new CLEO bound on the branching ratio of the decay mode $b\longrightarrow s\gamma$ given by $1\times10^{-4}< B(b\longrightarrow s\gamma)<4\times10^{-4}$ at 95\% c.l., and the experimental bounds on the masses of the lightest chargino, the second ... More

Alleviating Media Bias Through Intelligent Agent BloggingFeb 04 2009Consumers of mass media must have a comprehensive, balanced and plural selection of news to get an unbiased perspective; but achieving this goal can be very challenging, laborious and time consuming. News stories development over time, its (in)consistency, ... More

Coupled-channels density-matrix approach to low-energy nuclear reaction dynamicsSep 02 2010Atomic nuclei are complex, quantum many-body systems whose structure manifests itself through intrinsic quantum states associated with different excitation modes or degrees of freedom. Collective modes (vibration and/or rotation) dominate at low energy ... More

Reaction dynamics of weakly-bound nuclei at near-barrier energies: impact of incomplete fusion on the angular distribution of direct alpha-productionOct 22 2009The classical trajectory model with stochastic breakup for nuclear collision dynamics of weakly-bound nuclei is further developed. It allows a quantitative study of the importance of incomplete fusion dynamics in the angular distribution of direct alpha-production. ... More

Limits on Lorentz and CPT violation from double beta decayNov 04 2013Feb 13 2014Deviations from Lorentz and CPT invariance in the neutrino sector and their observable effects in double beta decay are studied. For two-neutrino double beta decay, a spectral distortion and its properties are characterized for different isotopes. Majorana ... More

Tests of Lorentz symmetry in single beta decayAug 25 2014Low-energy experiments studying single beta decay can serve as sensitive probes of Lorentz invariance that can complement interferometric searches for deviations from this spacetime symmetry. Experimental signatures of a dimension-three operator for Lorentz ... More

Testing Lorentz and CPT invariance with neutrinosSep 29 2016Neutrino experiments can be considered sensitive tools to test Lorentz and CPT invariance. Taking advantage of the great variety of neutrino experiments, including neutrino oscillations, weak decays, and astrophysical neutrinos, the generic experimental ... More

On the accretion of phantom energy onto wormholesOct 27 2005By using a properly generalized accretion formalism it is argued that the accretion of phantom energy onto a wormhole does not make the size of the wormhole throat to comovingly scale with the scale factor of the universe, but instead induces an increase ... More

Holographic cosmic energy, fundamental physics and the future of the universeJul 29 2005Sep 09 2005Holographic dark energy models have been recently suggested which most clearly show that accelerating cosmology appears to be incompatible with mathematically consistent formulations of fundamental theories such as string/M theories. In this paper it ... More

Dark energy and supermassive black holesAug 24 2004This paper deals with a cosmological model in which the universe is filled with tachyon dark energy in order to describe current and future accelerating expansion. We obtain that the simplest condition for the regime of phantom energy to occur in this ... More

Dirichlet to Neumann operator for abelian Yang-Mills gauge fieldsAug 03 2015Sep 03 2016We consider the Dirichlet to Neumann operator for abelian Yang- Mills boundary conditions. We treat the case for space-time manifolds with general smooth boundary components. The aim is constructing a complex structure for the symplectic space of boundary ... More

Smoothed Analysis of the Expected Number of Maximal Points in Two DimensionsJul 18 2018The {\em Maximal} points in a set S are those that aren't {\em dominated} by any other point in S. Such points arise in multiple application settings in which they are called by a variety of different names, e.g., maxima, Pareto optimums, skylines. Because ... More

A search and modeling of peculiar narrow transient line components in novae spectraMar 19 2014In this paper we discuss the formation of peculiar narrow emission line components observed in the spectra of a few novae. We aim to identify the physical source responsible for transient narrow components that present orbital radial velocity modulations, ... More

Some nilpotence theorems for algebraic cyclesAug 18 2017Feb 14 2018Using fundamental results of Deligne, we prove a nilpotence theorem for algebraic cycles and use this to prove a torsion nilpotence result for correspondences on surfaces.

Neutrinos as probes of Lorentz invarianceJun 26 2014Neutrinos can be used to search for deviations from exact Lorentz invariance. The worldwide experimental program in neutrino physics makes these particles a remarkable tool to search for a variety of signals that could reveal minute relativity violations. ... More

Astroparticles and tests of Lorentz invarianceAug 30 2016Searches for violations of Lorentz invariance using cosmic rays, gamma rays, and astrophysical neutrinos and the prospects for future tests using cosmic-ray showers are presented.

Homology and manifolds with cornersNov 27 2006Nov 29 2006We define a model for the homology of manifolds and use it to describe the intersection product on the homology of compact oriented manifolds and to define homological quantum field theories which generalizes the notions of string topology introduced ... More

Life originated during accelerating expansion in the multiverseAug 22 2009It is argued that all notions associated with the origin of life should be related with the participatory anthropic principle of Wheeler and must be extended into the realm of the multiverse. Also discussed is the notion that life can only be possible ... More

Axion Phantom EnergyJan 13 2004The existence of phantom energy in a universe which evolves to eventually show a big rip doomsday is a possibility which is not excluded by present observational constraints. In this letter it is argued that the field theory associated with a simple quintessence ... More

Wormholes and Ringholes in a Dark-Energy UniverseAug 21 2003The effects that the present accelerating expansion of the universe has on the size and shape of Lorentzian wormholes and ringholes are considered. It is shown that, quite similarly to how it occurs for inflating wormholes, relative to the initial embedding-space ... More

Achronal cosmic futureApr 02 2004Jun 21 2004The spherically symmetric accretion of dark and phantom energy onto Morris-Thorne wormholes is considered. It is obtained that the accretion of phantom energy leads to a gradual increase of the wormhole throat radius which eventually overtakes the super-accelerated ... More

Sub-Quantum Dark EnergyNov 11 2003Mar 04 2004A procedure is considered which upgrades the Lagrangian description of quantum relativistic particles to the Lagrangian of a proper field theory in the case that the Klein-Gordon wave equation is classically interpreted in terms of a relativistic sub-quantum ... More

Hydrodynamic equilibrium of a static star in the presence of a cosmological constant in 2 + 1 dimensionsDec 17 2014Under the hydrodynamic equilibrium Buchdahl's conditions on the behavior of the density and the pressure, for regular fluid static circularly symmetric star in (2 + 1) dimensions in the presence of a cosmological constant, is established that there are ... More

Gravity-induced phase-shift of light: outline of an interferometric test of the Equivalence PrincipleJul 18 2013Aug 20 2013I analyze the change of the interference pattern in an optical interferometer when it passes from rest to free fall. It is shown that the "disconnection" of the gravitational field causes a jump in the phase difference that could be measured with the ... More

New Physics and novel Higgs signalsJan 17 2003We review some of the results of our recent work dealing with the novel type of Higgs signals that arise when one considers extensions of the standard model. We discuss first possible deviations on the Higgs couplings due to heavy particles, in the context ... More

From the Higgs to the top: Couplings and Rare DecaysMay 04 2015Within the Standard Model the Higgs couplings to fermions and gauge bosons, as function of the particle mass, are predicted to lay on a single line. However, new patterns appear in multi-Higgs models that employ the Froggart-Nielsen mechanism, where the ... More

The Minimal Supersymmetric Standard Model with a Bilinear R--Parity Violating TermNov 24 1997Some aspects of bilinear R-Parity violation, the simplest extension of the MSSM which does not conserve R-Parity, are reviewed in comparison with the MSSM. We put special emphasis on the effect of quantum corrections.

Bilinear R-Parity ViolationFeb 24 1998We review some of the main features of Bilinear R-Parity Violation (BRpV), defined by a quadratic term in the superpotential which mixes lepton and Higgs superfields and is proportional to a mass parameter epsilon. We show how large values of epsilon ... More

Theory of competition between fusion and quasi-fission in a heavy fusing systemJan 16 2006Apr 05 2006A theory of the competition between fusion and quasi-fission in a heavy fusing system is proposed, which is based on a master equation and the two-center shell model. Fusion and quasi-fission arise from a diffusion process in an ensemble of nuclear shapes, ... More

Shell corrections for finite depth potentials with bound states onlyMay 07 2004A new method of calculating unique values of ground-state shell corrections for finite depth potentials is shown, which makes use of bound states only. It is based on (i) a general formulation of extracting the smooth part from any fluctuating quantity ... More

Indirect Influences in International TradeNov 27 2014We address the problem of gauging the influence exerted by a given country on the global trade market from the viewpoint of complex networks. In particular, we apply the PWP method for computing indirect influences on the world trade network.

Molecular Signatures from Gene Expression DataJan 30 2004Oct 08 2004Motivation: ``Molecular signatures'' or ``gene-expression signatures'' are used to predict patients' characteristics using data from coexpressed genes. Signatures can enhance understanding about biological mechanisms and have diagnostic use. However, ... More

Compositional Bernoulli numbersAug 06 2007Apr 04 2008We define and study the combinatorial properties of compositional Bernoulli numbers and polynomials within the framework of rational combinatorics.

Where have all the large Representations gone?May 28 2017Gauge theories describe the interactions of the fundamental building blocks of nature with great success. The Standard Model achieves a partial unification of the electromagnetic and weak interactions, and it also acomodates the strong interactions. The ... More

Probabilistic Gene Regulatory Networks, isomorphisms of Markov ChainsMar 13 2006In this paper we study homomorphisms of Probabilistic Regulatory Gene Networks(PRN) introduced in arXiv:math.DS/0603289 v1 13 Mar 2006. The model PRN is a natural generalization of the Probabilistic Boolean Networks (PBN), introduced by I. Shmulevich, ... More

Special homomorphisms between Probabilistic Gene Regulatory NetworksMar 13 2006In this paper we study finite dynamical systems with $n$ functions acting on the same set $X$, and probabilities assigned to these functions, that it is called Probabilistic Regulatory Gene Networks (PRN. his concept is the same or a natural generalization ... More

Membrane TopologyDec 08 2006Aug 08 2007We construct membrane homology groups $\h(M)$ associated with each compact connected oriented smooth manifold, and show that $\h(M)$ is matrix graded algebra.

Representations of Hecke algebras on quotients of path algebrasSep 08 2015Let $(W,S)$ be a Coxeter system. A $W$-graph encodes a representation of the Hecke algebra $\mathcal{H}$ of $W$. We construct universal representations of multi-parameter Hecke algebras on certain quotients of path algebras, and study their relationships ... More

Asymptotic behavior of grafting raysSep 05 2007Sep 20 2007In this paper we study the convergence behavior of grafting rays to the Thurston boundary of Teichmuller space. When the grafting is done along a weighted system of simple closed curves or along a maximal uniquely ergodic lamination this behavior is the ... More