total 126took 0.12s

Intervention Pathway Discovery via Context-Dependent Dynamic Sensitivity AnalysisFeb 08 2019The sensitivity analysis of biological system models can significantly contribute to identifying and explaining influences of internal or external changes on model and its elements. We propose here a comprehensive framework to study sensitivity of intra-cellular ... More

Recipes for Translating Big Data Machine Reading to Executable Cellular Signaling ModelsJun 13 2017With the tremendous increase in the amount of biological literature, developing automated methods for extracting big data from papers, building models and explaining big mechanisms becomes a necessity. We describe here our approach to translating machine ... More

DiSH Simulator: Capturing Dynamics of Cellular Signaling with Heterogeneous KnowledgeMay 07 2017We present DiSH-Sim, a simulator for large discrete models of biological signal transduction pathways, capable of simulating networks with multi-valued elements in both deterministic and stochastic manner. We focus on order of update and thus incorporate ... More

Formal Modeling and Analysis of Pancreatic Cancer MicroenvironmentJun 09 2016The focus of pancreatic cancer research has been shifted from pancreatic cancer cells towards their microenvironment, involving pancreatic stellate cells that interact with cancer cells and influence tumor progression. To quantitatively understand the ... More

A Faster DiSH: Hardware Implementation of a Discrete Cell Signaling Network SimulatorNov 19 2018Development of fast methods to conduct in silico experiments using computational models of cellular signaling is a promising approach toward advances in personalized medicine. However, software-based cellular network simulation has run-times plagued by ... More

Methods to Expand Cell Signaling Models using Automated Reading and Model CheckingJun 15 2017Biomedical research results are being published at a high rate, and with existing search engines, the vast amount of published work is usually easily accessible. However, reproducing published results, either experimental data or observations is often ... More

Iterative method for improvement of coding and decryptionApr 05 2010Cryptographic check values (digital signatures, MACs and H-MACs) are useful only if they are free of errors. For that reason all of errors in cryptographic check values should be corrected after the transmission over a noisy channel before their verification ... More

Limiting behaviour of the Ricci flowFeb 12 2004May 20 2004We will consider a {\it $\tau$-flow}, given by the equation $\frac{d}{dt}g_{ij} = -2R_{ij} + \frac{1}{\tau}g_{ij}$ on a closed manifold $M$, for all times $t\in [0,\infty)$. We will prove that if the curvature operator and the diameter of $(M,g(t))$ are ... More

Curvature tensor under the Ricci flowNov 22 2003Feb 10 2004Consider the unnormalized Ricci flow $(g_{ij})_t = -2R_{ij}$ for $t\in [0,T)$, where $T < \infty$. Richard Hamilton showed that if the curvature operator is uniformly bounded under the flow for all times $t\in [0,T)$ then the solution can be extended ... More

Convergence of Kahler-Einstein orbifoldsJun 25 2003Jul 09 2003We proved the convergence of a sequence of 2 dimensional comapct Kahler-Einstein orbifolds with rational quotient singularities and with some uniform bounds on the volumes and on the Euler characteristics of our orbifods to a Kahler-Einstein 2-dimensional ... More

Biological network comparison using graphlet degree distributionJan 29 2009Analogous to biological sequence comparison, comparing cellular networks is an important problem that could provide insight into biological understanding and therapeutics. For technical reasons, comparing large networks is computationally infeasible, ... More

CAT(0) spaces with polynomial divergence of geodesicsJan 17 2011May 21 2012We construct a family of finite 2-complexes whose universal covers are CAT(0) and have polynomial divergence of desired degree. This answers a question of Gersten, namely whether such CAT(0) complexes exist.

The Precise and Powerful Chaos of the 5:2 Mean Motion Resonance with JupiterDec 01 2016This work reexamines the dynamics of the 5:2 mean motion resonance with Jupiter located in the Outer Belt at $a\sim 2.82$ AU. First, we compute dynamical maps revealing the precise structure of chaos inside the resonance. Being interested to verify the ... More

Compactness results for the Kähler-Ricci flowJul 19 2007Sep 23 2007We consider the K\"ahler-Ricci flow $\frac{\partial}{\partial t}g_{i\bar{j}} = g_{i\bar{j}} - R_{i\bar{j}}$ on a compact K\"ahler manifold $M$ with $c_1(M) > 0$, of complex dimension $k$. We prove the $\epsilon$-regularity lemma for the K\"ahler-Ricci ... More

Subsampled Inexact Newton methods for minimizing large sums of convex functionsNov 14 2018This paper deals with the minimization of large sum of convex functions by Inexact Newton (IN) methods employing subsampled functions, gradients and Hessian approximations. The Conjugate Gradient method is used to compute the inexact Newton step and global ... More

Exact Spectral-Like Gradient Method for Distributed OptimizationJan 17 2019Since the initial proposal in the late 80s, spectral gradient methods continue to receive significant attention, especially due to their excellent numerical performance on various large scale applications. However, to date, they have not been sufficiently ... More

Titratable Macroions in Multivalent Electrolyte Solutions: Strong Coupling Dressed Ion ApproachApr 08 2016We present a theoretical description of the effect of polyvalent ions on the interaction between titratable macro-ions. The model system consists of two point-like macro-ions with dissociable sites, immersed in an asymmetric ionic mixture of monovalent ... More

Conspiratorial beliefs observed through entropy principlesJun 02 2015We propose a novel approach framed in terms of information theory and entropy to tackle the issue of conspiracy theories propagation. We start with the report of an event (such as 9/11 terroristic attack) represented as a series of individual strings ... More

Field theoretic description of charge regulation interactionMar 16 2014May 15 2014In order to find the exact form of the electrostatic interaction between two proteins with dissociable charge groups in aqueous solution, we have studied a model system composed of two macroscopic surfaces with charge dissociation sites immersed in a ... More

Asymptotic behavior of Type III mean curvature flow on noncompact hypersurfacesMar 02 2014Nov 06 2014In this paper, we introduce a monotonicity formula for the mean curvature flow which is related to self-expanders. Then we use the monotonicity to study the asymptotic behavior of Type III mean curvature flow on noncompact hypersurfaces.

Kirkwood-Shumaker interactions and general thermal fluctuation forcesJan 21 2014We present an extension of the Kirkwood-Shumaker (KS) theory of proton-fluctuation interactions to situations where the perturbation theory, usually invoked to derive these interactions, fails. In order to do that we formulate a generalized theory of ... More

Eternal Solutions to the Ricci Flow on $\R^2$Mar 22 2006Mar 23 2006We provide the classification of eternal (or ancient) solutions of the two-dimensional Ricci flow, which is equivalent to the fast diffusion equation $ \frac{\partial u}{\partial t} = \Delta \log u $ on $ \R^2 \times \R.$ We show that, under the necessary ... More

The harmonic mean curvature flow of nonconvex surfaces in $\mathbb{R}^3$Jun 10 2008Sep 03 2008We consider a compact, star-shaped, mean convex hypersurface $\Sigma^2\subset \mathbb{R}^3$. We prove that in some cases the flow exists until it shrinks to a point in a spherical manner, which is very typical for convex surfaces as well (see \cite{An1}). ... More

Uncovering Biological Network Function via Graphlet Degree SignaturesFeb 05 2008Proteins are essential macromolecules of life and thus understanding their function is of great importance. The number of functionally unclassified proteins is large even for simple and well studied organisms such as baker's yeast. Methods for determining ... More

Effect of optical purity on phase sequence in antiferroelectric liquid crystalsSep 29 2004We use the discrete phenomenological model to study theoretically the phase diagrams in antiferroelectric liquid crystals (AFLCs) as a function of optical purity and temperature. Recent experiments have shown that in some systems the number of phases ... More

Dynamic instability of $\mathbb{CP}^N$ under Ricci flowSep 04 2017Apr 06 2018The intent of this short note is to provide context for and an independent proof of the discovery of Klaus Kroencke that complex projective space with its canonical Fubini--Study metric is dynamically unstable under Ricci flow in all complex dimensions ... More

Blow-up of the mean curvature at the first singular time of the mean curvature flowFeb 05 2013It is conjectured that the mean curvature blows up at the first singular time of the mean curvature flow in Euclidean space, at least in dimensions less or equal to 7. We show that the mean curvature blows up at the singularities of the mean curvature ... More

Ricci flow on three-dimensional manifolds with symmetryFeb 22 2011Oct 07 2011We describe the Ricci flow on two classes of compact three-dimensional manifolds: 1. Warped products with a circle fiber over a two-dimensional base. 2. Manifolds with a free local isometric U(1) x U(1) action.

On the extinction profile of solutions to fast-diffusionSep 19 2006May 02 2007We study the extinction behavior of solutions to the fast diffusion equation $u_t = \Delta u^m$ on $\R^N\times (0,T)$, in the range of exponents $m \in (0, \frac{N-2}{N})$, $N > 2$. We show that if the initial data $u_0$ is trapped in between two Barenblatt ... More

An ab-initio investigation of magnetism in two-dimensional uranium systemsSep 14 2004The orbital and spin magnetic moments, and the X-ray-magnetic circular-dichroism (XMCD) spectra at the $M_{4,5}$ edges of the U atoms in a UAs/Co multilayer and in an $\alpha$-U film are calculated within the framework of the density-functional theory ... More

Surface stress of Ni adlayers on W(110): the critical role of the surface atomic structureMar 15 2012Puzzling trends in surface stress were reported experimentally for Ni/W(110) as a function of Ni coverage. In order to explain this behavior, we have performed a density-functional-theory study of the surface stress and atomic structure of the pseudomorphic ... More

The Poisson equation on complete manifolds with positive spectrum and applicationsNov 07 2008Dec 02 2008In this paper we investigate the existence of a solution to the Poisson equation on complete manifolds with positive spectrum and Ricci curvature bounded from below. We show that if a function $f$ has decay $f=O(r^{-1-\varepsilon}) $ for some $\varepsilon ... More

Polarization modulation instability in liquid crystals with spontaneous chiral symmetry breakingMar 11 2005We present a theoretical model which describes the polarization modulated and layer undulated structure of the B7 phase and gives the phase transition from the synclinic ferroelectric B2 phase to the B7 phase as observed experimentally. The system is ... More

The rate of convergence of the mean curvature flowFeb 25 2005May 16 2005We study the flow $M_t$ of a smooth, strictly convex hypersurface by its mean curvature in $\mathrm{R}^{n+1}$. The surface remains smooth and convex, shrinking monotonically until it disappears at a critical time $T$ and point $x^*$ (which is due to Huisken). ... More

A rigorous derivation of a ternary Boltzmann equation for a classical system of particlesMar 11 2019In this paper we present a rigorous derivation of a new kinetic equation describing the limiting behavior of a classical system of particles with three particle instantaneous interactions. The equation, which we call ternary Boltzmann equation, can be ... More

The mean curvature at the first singular time of the mean curvature flowJan 20 2010Consider a family of smooth immersions $F(\cdot,t): M^n\to \mathbb{R}^{n+1}$ of closed hypersurfaces in $\mathbb{R}^{n+1}$ moving by the mean curvature flow $\frac{\partial F(p,t)}{\partial t} = -H(p,t)\cdot \nu(p,t)$, for $t\in [0,T)$. We prove that ... More

The classification of locally conformally flat Yamabe solitonsApr 12 2011Mar 05 2012We provide the classification of locally conformally flat gradient Yamabe solitons with positive sectional curvature. We first show that locally conformally flat gradient Yamabe solitons with positive sectional curvature have to be rotationally symmetric ... More

A regularity criterion for the dissipative quasi-geostrophic equationsOct 27 2007We establish a regularity criterion for weak solutions of the dissipative quasi-geostrophic equations in mixed time-space Besov spaces.

Crossover exponent for piecewise directed walk adsorption on Sierpinski fractalsDec 07 1998We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent ... More

Blow-up rate of the mean curvature during the mean curvature flow and a gap theorem for self-shrinkersNov 23 2010In this paper, we prove that the mean curvature blows up at the same rate as the second fundamental form at the first singular time $T$ of any compact, Type I mean curvature flow. For the mean curvature flow of surfaces, we obtain similar result provided ... More

Remarks on curvature behavior at the first singular time of the Ricci flowMay 07 2010May 28 2010In this paper, we study curvature behavior at the first singular time of solution to the Ricci flow on a smooth, compact n-dimensional Riemannian manifold $M$, $\frac{\partial}{\partial t}g_{ij} = -2R_{ij}$ for $t\in [0,T)$. If the flow has uniformly ... More

On the extension of the mean curvature flowMay 07 2009May 08 2009Consider a family of smooth immersions $F(\cdot,t): M^n\to \mathbb{R}^{n+1}$ of closed hypersurfaces in $\mathbb{R}^{n+1}$ moving by the mean curvature flow $\frac{\partial F(p,t)}{\partial t} = -H(p,t)\cdot \nu(p,t)$, for $t\in [0,T)$. In \cite{Cooper} ... More

Analysis of Vel$\acute{a}$zquez's solution to the mean curvature flow with a type $\mathrm{II}$ singularityJan 07 2017Jul 12 2017J.J.L. Vel$\acute{a}$zquez in 1994 used the degree theory to show that there is a perturbation of Simons' cone, starting from which the mean curvature flow develops a type $\mathrm{II}$ singularity at the origin. He also showed that under a proper time-dependent ... More

Line Patterns in Free GroupsJun 10 2010Jul 19 2010We study line patterns in a free group by considering the topology of the decomposition space, a quotient of the boundary at infinity of the free group related to the line pattern. We show that the group of quasi-isometries preserving a line pattern in ... More

Newton-like method with diagonal correction for distributed optimizationSep 05 2015We consider distributed optimization problems where networked nodes cooperatively minimize the sum of their locally known convex costs. A popular class of methods to solve these problems are the distributed gradient methods, which are attractive due to ... More

Newton-like method with diagonal correction for distributed optimizationSep 05 2015Feb 20 2017We consider distributed optimization problems where networked nodes cooperatively minimize the sum of their locally known convex costs. A popular class of methods to solve these problems are the distributed gradient methods, which are attractive due to ... More

Functional geometry of protein-protein interaction networksApr 12 2018Motivation: Protein-protein interactions (PPIs) are usually modelled as networks. These networks have extensively been studied using graphlets, small induced subgraphs capturing the local wiring patterns around nodes in networks. They revealed that proteins ... More

An inviscid dyadic model of turbulence: the fixed point and Onsager's conjectureOct 26 2006Dec 31 2006Properties of an infinite system of nonlinearly coupled ordinary differential equations are discussed. This system models some properties present in the equations of motion for an inviscid fluid such as the skew symmetry and the 3-dimensional scaling ... More

Direction dependency of extraordinary refraction index in uniaxial nematic liquid crystalsAug 15 2012Nov 06 2012The article presents a straightforward experiment that directly and illustratively demonstrates double refraction. For this purpose, two liquid crystalline cells were designed, which enable qualitative and quantitative measurements of the extraordinary ... More

An integrative approach to modeling biological networksMay 31 2009Sep 24 2009Since proteins carry out biological processes by interacting with other proteins, analyzing the structure of protein-protein interaction (PPI) networks could explain complex biological mechanisms, evolution, and disease. Similarly, studying protein structure ... More

Extinction profile of complete non-compact solutions to the Yamabe flowJun 04 2013This work addresses the {\em singularity formation} of complete non-compact solutions to the conformally flat Yamabe flow whose conformal factors have {\em cylindrical behavior at infinity}. Their singularity profiles happen to be {\em Yamabe solitons}, ... More

Ricci flow neckpinches without rotational symmetryDec 10 2013Oct 21 2014We study "warped Berger" solutions $\big(\mc S^1\times\mc S^3,G(t)\big)$ of Ricci flow: generalized warped products with the metric induced on each fiber $\{s\}\times\mathrm{SU}(2)$ a left-invariant Berger metric. We prove that this structure is preserved ... More

Type II ancient compact solutions to the Yamabe flowSep 25 2012Oct 22 2012We construct new type II ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as $t \to -\infty$, to a tower of two spheres. Their curvature operator changes sign. We allow two time-dependent parameters ... More

Uniqueness of two-convex closed ancient solutions to the mean curvature flowApr 19 2018In this paper we consider closed non-collapsed ancient solutions to the mean curvature flow ($n \ge 2$) which are uniformly two-convex. We prove that any two such ancient solutions are the same up to translations and scaling. In particular, they must ... More

Nonparametric Quantile-Based Causal DiscoveryJan 31 2018Oct 07 2018Distinguishing cause from effect using observational data is a challenging problem, especially in the bivariate case. Contemporary methods often assume an independence between the cause and the generating mechanism of the effect given the cause. From ... More

Improving the Secrecy of Distributed Storage Systems using Interference AlignmentJan 05 2018Regenerating codes based on the approach of interference alignment for wireless interference channel achieve the cut-set bound for distributed storage systems. These codes provide data reliability, and perform efficient exact node repair when some node ... More

Inexact restoration with subsampled trust-region methods for finite-sum minimizationFeb 05 2019Convex and nonconvex finite-sum minimization arises in many scientific computing and machine learning applications. Recently, first-order and second-order methods where objective functions, gradients and Hessians are approximated by randomly sampling ... More

Higher order molecular organisation as a source of biological functionApr 13 2018Sep 20 2018Molecular interactions have widely been modelled as networks. The local wiring patterns around molecules in molecular networks are linked with their biological functions. However, networks model only pairwise interactions between molecules and cannot ... More

Ricci flow on surfaces with cuspsMar 12 2007May 11 2009We consider the normalized Ricci flow $\del_t g = (\rho - R)g$ with initial condition a complete metric $g_0$ on an open surface $M$ where $M$ is conformal to a punctured compact Riemann surface and $g_0$ has ends which are asymptotic to hyperbolic cusps. ... More

Moments and Regularity for a Boltzmann Equation via Wigner TransformApr 11 2018In this paper, we continue our study of the Boltzmann equation by use of tools originating from the analysis of dispersive equations in quantum dynamics. Specifically, we focus on properties of solutions to the Boltzmann equation with collision kernel ... More

Non-Kahler Ricci flow singularities modeled on Kahler-Ricci solitonsMar 08 2017Mar 05 2019We investigate Riemannian (non-Kahler) Ricci flow solutions that develop finite-time Type-I singularities and present evidence in favor of a conjecture that parabolic rescalings at the singularities converge to singularity models that are shrinking Kahler-Ricci ... More

Modularity of Directed Networks: Cycle Decomposition ApproachJul 30 2014Jul 31 2014The problem of decomposing networks into modules (or clusters) has gained much attention in recent years, as it can account for a coarse-grained description of complex systems, often revealing functional subunits of these systems. A variety of module ... More

Unique asymptotics of ancient convex mean curvature flow solutionsMar 04 2015Sep 23 2015We study the compact noncollapsed ancient convex solutions to Mean Curvature Flow in $\mathbb{R}^{n+1}$ with $O(1)\times O(n)$ symmetry. We show they all have unique asymptotics as $t\to -\infty$ and we give precise asymptotic description of these solutions. ... More

Non-Kahler Ricci flow singularities that converge to Kahler-Ricci solitonsMar 08 2017May 15 2018We investigate Riemannian (non-Kahler) Ricci flow solutions that develop finite-time Type-I singularities with the property that parabolic rescalings at the singularities converge to singularity models taking the form of shrinking Kahler-Ricci solitons. ... More

Ricci flow on asymptotically conical surfaces with nontrivial topologyMar 26 2010As part of the general investigation of Ricci flow on complete surfaces with finite total curvature, we study this flow for surfaces with asymptotically conical (which includes as a special case asymptotically Euclidean) geometries. After establishing ... More

Multiplier Ideal Sheaves and the Kähler-Ricci FlowNov 27 2006Jan 10 2007Multiplier ideal sheaves are constructed as obstructions to the convergence of the K\"ahler-Ricci flow on Fano manifolds, following earlier constructions of Kohn, Siu, and Nadel, and using the recent estimates of Kolodziej and Perelman

Ricci flow on surfaces with conic singularitiesJun 28 2013Mar 11 2015We establish the short-time existence of the Ricci flow on surfaces with a finite number of conic points, all with cone angle between 0 and $2\pi$, where the cone angles remain fixed or change in some smooth prescribed way. For the angle-preserving flow ... More

Efficient distribution and improved security for reliable cloud storage systemFeb 05 2016The distributed data storage systems are constructed by large number of nodes which are interconnected over a network. Each node in such peer-to-peer network is vulnerable and at a potential risk for attack. The attackers can eavesdrop the nodes and possibly ... More

Generative Models for Simulating Mobility TrajectoriesNov 30 2018Mobility datasets are fundamental for evaluating algorithms pertaining to geographic information systems and facilitating experimental reproducibility. But privacy implications restrict sharing such datasets, as even aggregated location-data is vulnerable ... More

RELink: A Research Framework and Test Collection for Entity-Relationship RetrievalJun 13 2017Improvements of entity-relationship (E-R) search techniques have been hampered by a lack of test collections, particularly for complex queries involving multiple entities and relationships. In this paper we describe a method for generating E-R test queries ... More

Unconditional uniqueness for the cubic Gross-Pitaevskii hierarchy via quantum de FinettiJul 11 2013Feb 21 2014We present a new, simpler proof of the unconditional uniqueness of solutions to the cubic Gross-Pitaevskii hierarchy in $\R^3$. One of the main tools in our analysis is the quantum de Finetti theorem. Our uniqueness result is equivalent to the one established ... More

Tracking the Pixels: Detecting Web Trackers via Analyzing Invisible PixelsDec 04 2018Web tracking has been extensively studied over the last decade. To detect tracking, most of the research studies and user tools rely on consumer protection lists. However, there was always a suspicion that lists miss unknown trackers. In this paper, we ... More

Switching mechanism in polar columnar mesophases made of bent-core moleculesSep 14 2004The behavior of polar columnar phases made of bent shaped molecules (B_1Rev and B_1RevTilted) was studied under applied electric field. There are two competing mechanisms of switching in polar B_1RevTilted columnar phase: the collective rotation around ... More

Ab initio simulation of photoemission spectroscopy in solids: Plane-wave pseudopotential approach, with applications to normal-emission spectra of Cu(001) and Cu(111)Apr 24 2008We introduce a new method for simulating photoemission spectra from bulk crystals in the ultra-violet energy range, within a three-step model. Our method explicitly accounts for transmission and matrix-element effects, as calculated from state-of-the-art ... More

Early Fusion Strategy for Entity-Relationship RetrievalJul 27 2017Oct 19 2017We address the task of entity-relationship (E-R) retrieval, i.e, given a query characterizing types of two or more entities and relationships between them, retrieve the relevant tuples of related entities. Answering E-R queries requires gathering and ... More

Type I ancient compact solutions of the Yamabe flowSep 29 2015We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as $t \to -\infty$, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type ... More

Global Flows with Invariant Measures for the Inviscid Modified SQG EquationsMay 04 2017We consider the family known as modified or generalized surface quasi-geostrophic equations (mSQG) consisting of the classical inviscid surface quasi-geostrophic (SQG) equation together with a family of regularized active scalars given by introducing ... More

Summation of p-Adic Functional Series in Integer PointsAug 19 2015Summation of a large class of the functional series, which terms contain factorials, is considered. We first investigated finite partial sums for integer arguments. These sums have the same values in real and all p-adic cases. The corresponding infinite ... More

Entity-Relationship Search over the WebOct 08 2018Entity-Relationship (E-R) Search is a complex case of Entity Search where the goal is to search for multiple unknown entities and relationships connecting them. We assume that a E-R query can be decomposed as a sequence of sub-queries each containing ... More

Social Media Brand Engagement as a Proxy for E-commerce Activities: A Case Study of Sina Weibo and JDOct 13 2018E-commerce platforms facilitate sales of products while product vendors engage in Social Media Activities (SMA) to drive E-commerce Platform Activities (EPA) of consumers, enticing them to search, browse and buy products. The frequency and timing of SMA ... More

New type I ancient compact solutions of the Yamabe flowJan 20 2016We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as $t \to -\infty$, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type ... More

Evolution of Locally Convex Closed Curves in Nonlocal Curvature FlowsAug 16 2017We provide sufficient conditions on an initial curve for the area preserving and the length preserving curvature flows of curves in a plane, to develop a singularity at some finite time or converge to an $m$-fold circle as time goes to infinity. For the ... More

On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de FinettiNov 09 2013Mar 27 2014We prove the existence of scattering states for the defocusing cubic Gross-Pitaevskii (GP) hierarchy in ${\mathbb R}^3$. Moreover, we show that an energy growth condition commonly used in the well-posedness theory of the GP hierarchy is, in a specific ... More

Modelling and optimisation of water management in sloping coastal aquifers with seepage, extraction and rechargeJan 28 2019We consider the management of sloping, long and thin, coastal aquifers. We first develop a simple mathematical model, based on Darcy flow for porous media, which gives the water table height, and the flow velocity as a function of the underground seepage ... More

Alkali specific effects in superconducting fullerides: the observation of a high temperature insulating phase in Na_2CsC_60Feb 29 2000Electron Spin Resonance and optical reflectivity measurements demonstrate a metal-insulator transition in Na_2CsC_60 as the system passes from the low temperature simple cubic to the high temperature {\it fcc} structure above 300 K. The non-conducting ... More

Dissortative From the Outside, Assortative From the Inside: Social Structure and Behavior in the Industrial Trade NetworkSep 30 2014It is generally accepted that neighboring nodes in financial networks are negatively assorted with respect to the correlation between their degrees. This feature would play an important 'damping' role in the market during downturns (periods of distress) ... More

ergm.graphlets: A Package for ERG Modeling Based on Graphlet StatisticsMay 28 2014Exponential-family random graph models (ERGMs) are probabilistic network models that are parametrized by sufficient statistics based on structural (i.e., graph-theoretic) properties. The ergm package for the R statistical computing system is a collection ... More

Unveiling new disease, pathway, and gene associations via multi-scale neural networksJan 28 2019Diseases involve complex processes and modifications to the cellular machinery. The gene expression profile of the affected cells contains characteristic patterns linked to a disease. Hence, biological knowledge pertaining to a disease can be derived ... More

Too dynamic to fail. Empirical support for an autocatalytic model of Minsky's financial instability hypothesisJun 24 2015Jul 13 2015Solomon and Golo [1] have recently proposed an autocatalytic (self-reinforcing) feedback model which couples a macroscopic system parameter (the interest rate), a microscopic parameter that measures the distribution of the states of the individual agents ... More

Insertions Yielding Equivalent Double Occurrence WordsNov 28 2018Dec 22 2018A double occurrence word (DOW) is a word in which every symbol appears exactly twice; two DOWs are equivalent if one is a symbol-to-symbol image of the other. We consider the so called repeat pattern ($\alpha\alpha$) and the return pattern ($\alpha\alpha^R$), ... More

Many-to-one contagion of economic growth rate across trade credit network of firmsJun 04 2015We propose a novel approach and an empirical procedure to test direct contagion of growth rate in a trade credit network of firms. Our hypotheses are that the use of trade credit contributes to contagion (from many customers to a single supplier - "many ... More

A case study of conspiracy theories about Charlie Hebdo terrorist attackSep 30 2015The results of the public opinion poll performed in January 2015, just after the terrorist attack on the French satirical weekly magazine Charlie Hebdo and the kosher supermarket in Paris, when 17 people were killed, showed that a significant number of ... More

Convergence of a Kähler-Ricci flowFeb 14 2004In this paper we prove that for a given K\"ahler-Ricci flow with uniformly bounded Ricci curvatures in an arbitrary dimension, for every sequence of times $t_i$ converging to infinity, there exists a subsequence such that $(M,g(t_i + t))\to (Y,\bar{g}(t))$ ... More

Actuality and Future of Optical SystemsDec 11 2009Today's high-capacity telecommunication systems are unimaginable without the use of optical fibres and accompanying optical components which are briefly presented in this paper with an accent on the receivers of optical signal. An overview of main characteristics ... More

Strategies and performances of Soft Input DecryptionJul 26 2009Sep 17 2009This paper analyzes performance aspects of Soft Input Decryption and L values. Soft Input Decryption is a novel method which uses L values (soft output) of a SISO channel decoder for the correction of input of Soft Input Decryption (SID blocks) which ... More

Rotation of 10 Be stars through Fourier transform analysisFeb 28 2006Here we determine the projected rotational velocity of 10 Be stars using Fourier Transform Method. Also, we discuss the gravity darkening and extend of deviation from solid body rotation for our sample of stars. We found that 7 of considered stars are ... More

Linear and dynamical stability of Ricci flat metricsOct 04 2004Oct 05 2004We can talk about two kinds of stability of the Ricci flow at Ricci flat metrics. One of them is a linear stability, defined with respect to Perelman's functional $\mathcal{F}$. The other one is a dynamical stability and it refers to a convergence of ... More

Convergence of the Ricci flow toward a unique solitonMay 20 2004We will consider a {\it $\tau$-flow}, given by the equation $\frac{d}{dt}g_{ij} = -2R_{ij} + \frac{1}{\tau}g_{ij}$ on a closed manifold $M$, for all times $t\in [0,\infty)$. We will prove that if the curvature operator and the diameter of $(M,g(t))$ are ... More

Insights from Molecular Dynamics Simulations on Structural Organization and Diffusive Dynamics of an Ionic Liquid at Solid and Vacuum InterfacesMar 22 2019Hypothesis A prototypical modelling approach is required for a full characterisation of the static and equilibrium dynamical properties of confined ionic liquids (ILs), in order to gain predictive power of properties that are difficult to extract from ... More

Improve Positioning Accuracy in WCDMA/FDD Networks Utilizing Adaptive Threshold for Direct Component DetectionJan 07 2016In NLOS propagation conditions power of direct component can be attenuated significantly. Therefore detection of direct component is aggravated which can degrades accuracy of Time of Arrival mobile positioning. The goal of this paper is to determine possibilities ... More