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Szegö's Theorem and its Probabilistic DescendantsAug 01 2011Mar 05 2012The theory of orthogonal polynomials on the unit circle (OPUC) dates back to Szeg\"o's work of 1915-21, and has been given a great impetus by the recent work of Simon, in particular his two-volume book [Si4], [Si5], the survey paper (or summary of the ... More

Tauberian theorems and large deviationsDec 20 2007The link between Tauberian theorems and large deviations is surveyed, with particular reference to regular variation.

Multivariate prediction and matrix Szegö theoryMar 05 2012Following the recent survey by the same author of Szeg\"o's theorem and orthogonal polynomials on the unit circle (OPUC) in the scalar case, we survey the corresponding multivariate prediction theory and matrix OPUC (MOPUC).

Mass Matrix Integration Scheme for Fifteen-node Wedge ElementDec 31 2014At present, mass matrix of solid fifteen node wedge element is computed by means of eighteen-point (Gauss points) numerical integration scheme. Herein, this widely accepted scheme is being challenged. We derive a novel, easy-to-implement, ten-point integration ... More

Exact integration scheme for six-node wedge element mass matrixDec 19 2014Currently, mass matrices are computed by means of sufficiently accurate numerical integration schemes. Two-point and nine-point (Gauss) quadrature remain frequently used. We derive an exact, easy to implement integration rule for six-node wedge element ... More

Extra galactic sources of high energy neutrinosFeb 08 2005The main goal of the construction of large volume, high energy neutrino telescopes is the detection of extra-Galactic neutrino sources. The existence of such sources is implied by observations of ultra-high energy, >10^{19} eV, cosmic-rays (UHECRs), the ... More

Interstellar dust: what is it, how does it evolve, and what are its observational consequences?Dec 14 2004Dec 22 2004This paper reviews our current understanding of interstellar dust models, what constitutes a viable dust model, what observational constraints are essential for deriving such model, and the current viable dust models. Interstellar dust exhibits spatial ... More

Does the detection of X-ray emission from SN1998bw support its association with GRB980425?Jan 26 2004Mar 04 2004We show that the recent identification of X-ray emission from SN1998bw is naturally explained as synchrotron emission from a shock driven into the wind surrounding the progenitor by a mildly relativistic shell ejected by the supernova, the existence of ... More

Can high energy neutrino annihilation on relic neutrinos generate the observed highest energy cosmic-rays?Apr 02 1998Annihilation of high energy, $\sim 10^{21}$eV, neutrinos on big bang relic neutrinos of $\sim 1$eV mass, clustered in the Galactic halo or in a nearby galaxy cluster halo, has been suggested to generate, through hadronic Z decay, high energy nucleons ... More

Set Consensus: Captured by a Set of Runs with RamificationsMay 20 2014Are (set)-consensus objects necessary? This paper answer is negative. We show that the availability of consensus objects can be replaced by restricting the set of runs we consider. In particular we concentrate of the set of runs of the Immediate-Snapshot-Model ... More

Profinite groups, profinite completions and a conjecture of MooreMay 11 2004Let R be any ring (with 1), \Gamma a group and R\Gamma the corresponding group ring. Let H be a subgroup of \Gamma of finite index. Let M be an R\Gamma -module, whose restriction to RH is projective. Moore's conjecture: Assume for every nontrivial element ... More

CTRW Pathways to the Fractional Diffusion EquationAug 01 2001The foundations of the fractional diffusion equation are investigated based on coupled and decoupled continuous time random walks (CTRW). For this aim we find an exact solution of the decoupled CTRW, in terms of an infinite sum of stable probability densities. ... More

Angular size and emission time scales of relativistic fireballsSep 18 1997The detection of delayed X-ray, optical and radio emission, ``afterglow,'' associated with gamma-ray bursts (GRBs) is consistent with models, where the bursts are produced by relativistic expanding blast waves, driven by expanding fireballs at cosmological ... More

The structure of tame minimal dynamical systemsSep 18 2006A dynamical version of the Bourgain-Fremlin-Talagrand dichotomy shows that the enveloping semigroup of a dynamical system is either very large and contains a topological copy of $\beta \N$, or it is a "tame" topological space whose topology is determined ... More

Noncommutative Regularization for the Practical ManAug 08 1999It has been proposed that the noncommutative geometry of the "fuzzy" 2-sphere provides a nonperturbative regularization of scalar field theories. This generalizes to compact Kaehler manifolds where simple field theories are regularized by the geometric ... More

Geometric Quantization of Vector BundlesAug 27 1998Dec 16 2000I repeat my definition for quantization of a vector bundle. For the case of Toeplitz and geometric quantization of a compact Kaehler Manifold, I give a construction for quantizing any smooth vector bundle which depends functorially on a choice of connection ... More

Noncommutative RigidityNov 13 2002Feb 10 2004Using very weak criteria for what may constitute a noncommutative geometry, I show that a pseudo-Riemannian manifold can only be smoothly deformed into noncommutative geometries if certain geometric obstructions vanish. These obstructions can be expressed ... More

Quantization of Planck's ConstantSep 04 2013Jun 21 2016This paper is about the role of Planck's constant, $\hbar$, in the geometric quantization of Poisson manifolds using symplectic groupoids. In order to construct a strict deformation quantization of a given Poisson manifold, one can use all possible rescalings ... More

Hamiltonian Gravity and Noncommutative GeometryMay 30 1996May 08 1997A version of foliated spacetime is constructed in which the spatial geometry is described as a time dependent noncommutative geometry. The ADM version of the gravitational action is expressed in terms of these variables. It is shown that the vector constraint ... More

On tame enveloping semigroupsJun 27 2004Jan 11 2006A dynamical version of the Bourgain-Fremlin-Talagrand dichotomy shows that the enveloping semigroup of a dynamical system is either very large and contains a topological copy of the Stone-Cech compactification of the natural numbers, or it is a "tame" ... More

On two problems concerning topological centersOct 15 2007Let G be an infinite discrete group and bG its Cech-Stone compactification. Using the well known fact that a free ultrafilter on an infinite set is nonmeasurable, we show that for each element p of the remainder bG G, left multiplication L_p:bG \to bG ... More

Simple, Decidable Type Inference with SubtypingApr 15 2011Aug 13 2013We demonstrate a method to infer polymorphically principal and subtyping-minimal types for an ML-like core language by assigning ranges within a lattice to type variables. We demonstrate the termination and completeness of this algorithm, and proceed ... More

The local energy production rates of GRB photons and of UHECRsOct 24 2010Oct 26 2010In a recent analysis it was found that the local (z=0) rate at which gamma-ray bursts (GRBs) produce energy in 1 MeV photons, Q_GRB(z=0), is 300 times lower than the local energy production rate in ultra-high energy cosmic-rays. This may appear to be ... More

A different derivation of the acceleration of a particle in a non-inertial reference frameMar 26 2008A new derivation of the acceleration of a particle in a non-inertial reference frame, including the Coriolis effect, is developed using the geometry of complex numbers in the complex plane.

Snapshot for Time: The One-Shot CaseAug 14 2014We show that for one-shot problems - problems where a processor executes a single operation-execution - timing constraints can be captured by conditions on the relation between original outputs and supplementary snapshots. In addition to the dictionary ... More

The Detection of Cold Dust in Cas A: Evidence for the Formation of Metallic Needles in the EjectaJan 07 2004Jan 08 2004Recently, Dunne et al. (2003) obtained 450 and 850 micron SCUBA images of CasA, and reported the detection of 2-4 M_sun of cold, 18K, dust in the remnant. Here we show that their interpretation of the observations faces serious difficulties. Their inferred ... More

Higher order closed-form model for isotropic hyperelastic spherical shell (3D solid)Dec 31 2013Higher order closed-form formulation for Neo-Hookean shell is presented. New solution for natural frequency of free vibration of a hemisphere is derived.

The Role of Dust in Producing the Cosmic Infrared BackgroundMay 21 2001The extragalactic background light (EBL), exclusive of the cosmic microwave background, consists of the cumulative radiative output from all energy sources in the universe since the epoch of recombination. Most of this energy is released at ultraviolet ... More

Predictions of the Gamma-Ray Burst Model of Ultra High Energy Cosmic RaysDec 06 1996The cosmological gamma-ray burst (GRB) model for the production of ultra- high energy cosmic rays is described, and the current observational evidence which support it discussed. Several predictions of the model are presented, which would allow it to ... More

Group graded PI-algebras and their codimension growthFeb 06 2010Let W be an associative PI-algebra over a field F of characteristic zero. Suppose W is G-graded where G is a finite group. Let exp(W) and exp(W_e) denote the codimension growth of W and of the identity component W_e, respectively. The following inequality ... More

High energy particles from gamma-ray burstsMar 13 2001A review is presented of the fireball model of gamma-ray bursts (GRBs), and of the production in GRB fireballs of high energy protons and neutrinos. Constraints imposed on the model by recent afterglow observations, which support the association of GRB ... More

The Structure of Noncommutative DeformationsApr 12 2005Jul 13 2006Noncommutatively deformed geometries, such as the noncommutative torus, do not exist generically. I showed in a previous paper that the existence of such a deformation implies compatibility conditions between the classical metric and the Poisson bivector ... More

A new closed-form model for isotropic elastic sphere including new solutions for the free vibrations problemNov 04 2013We develop a new closed-form model for the dynamics of an elastic and isotropic sphere and use it to derive new closed-form resonant frequencies.

On Semi-Analytical Integration Specified for Mass Matrix of Finite ElementsJun 06 2015Spatial numerical integration is essential for finite element analysis. Currently, numerical integration schemes, mostly based on Gauss quadrature, are widely used. Herein, we present an alternative semi-analytical approach for mass matrix evaluation, ... More

On cohomology rings of infinite groupsFeb 24 2005Dec 17 2008Let R be any ring (with 1), \Gamma a group and R\Gamma the corresponding group ring. Let Ext_{R\Gamma}^{*}(M,M) be the cohomology ring associated to the R\Gamma-module M. Let H be a subgroup of finite index of \Gamma. The following is a special version ... More

Stable Equilibrium Based on Lévy Statistics: Stochastic Collision Models ApproachOct 22 2003We investigate equilibrium properties of two very different stochastic collision models: (i) the Rayleigh particle and (ii) the driven Maxwell gas. For both models the equilibrium velocity distribution is a L\'evy distribution, the Maxwell distribution ... More

Delayed Detonation at a Single Point in Exploding White DwarfsOct 26 1999Delayed detonation in an exploding white dwarf, which propagates from an off-center transition point, rather than from a spherical transition shell, is described and simulated. The differences between the results of 2D simulations and the 1D case are ... More

Cosmological Origin for Cosmic Rays Above $10^{19}$ eVAug 08 1995The cosmic ray spectrum at $10^{19}{\rm eV}-10^{20}{\rm eV}$, reported by the Fly's Eye and the AGASA experiments, is shown to be consistent with a cosmological distribution of sources of protons, with a power law generation spectrum ${\rm d}\ln N/{\rm ... More

Stable Equilibrium Based on Lévy Statistics: A Linear Boltzmann Equation ApproachMar 13 2003To obtain further insight on possible power law generalizations of Boltzmann equilibrium concepts, a stochastic collision model is investigated. We consider the dynamics of a tracer particle of mass $M$, undergoing elastic collisions with ideal gas particles ... More

High Energy Neutrinos from Gamma-Ray BurstsSep 13 2000Observations suggest that gamma-ray bursts (GRBs) are produced by the dissipation of the kinetic energy of a relativistic fireball. In this talk, recent work on the production of high energy neutrinos by GRB fireballs is reviewed. A significant fraction ... More

Dynamic monopolies of constant sizeNov 17 1999Dec 24 1999The paper deals with a polling game on a graph. Initially, each vertex is colored white or black. At each round, each vertex is colored by the color shared by the majority of vertices in its neighborhood. We say that a set of vertices is a dynamic monopoly ... More

The Evolution of the Elemental Abundances in the Gas and Dust Phases of the GalaxyJul 02 1997Jul 03 1997We present models for the evolution of the elemental abundances in the gas and dust phases of the interstellar medium (ISM) of our Galaxy by generalizing standard models for its dynamical and chemical evolution. In these models, the stellar birthrate ... More

Quantization of Equivariant Vector BundlesAug 29 1997Nov 08 1998The quantization of vector bundles is defined. Examples are constructed for the well controlled case of equivariant vector bundles over compact coadjoint orbits. (Coadjoint orbits are symplectic spaces with a transitive, semisimple symmetry group.) In ... More

Quantum Gravitational Collapse of a Charged Dust ShellDec 21 1993Dec 22 1993A simple self gravitating system --- a thin spherical shell of charged pressureless matter --- is naively quantized as a test case of quantum gravitational collapse. The model is interpreted in terms of an inner product on the positive energy states. ... More

Translation-finite setsNov 02 2011The families of right (left) translation finite subsets of a discrete infinite group $\Gamma$ are defined and shown to be ideals. Their kernels $Z_R$ and $Z_L$ are identified as the closure of the set of products $pq$ ($p\cdot q$) in the \v{C}ech-Stone ... More

An Obstruction to Quantization of the SphereJun 20 2007Sep 06 2007In the standard example of strict deformation quantization of the symplectic sphere $S^2$, the set of allowed values of the quantization parameter $\hbar$ is not connected; indeed, it is almost discrete. Li recently constructed a class of examples (including ... More

Tensor Variable Elimination for Plated Factor GraphsFeb 08 2019A wide class of machine learning algorithms can be reduced to variable elimination on factor graphs. While factor graphs provide a unifying notation for these algorithms, they do not provide a compact way to express repeated structure when compared to ... More

Dynamic Adaptive Network IntelligenceNov 19 2015Accurate representational learning of both the explicit and implicit relationships within data is critical to the ability of machines to perform more complex and abstract reasoning tasks. We describe the efficient weakly supervised learning of such inferences ... More

Intervention Strategies for Epidemics: Does Ignoring Time Delay Lead to Incorrect Predictions?Sep 27 2018Our paper investigates distributions of exposed and infectious time periods in an epidemic model and how applying a disease control strategy affects the model's accuracy. While ordinary differential equations are widely used for their simplicity, they ... More

Consistent mass matrix of ten nodes tetrahedral element based on analytical integrationNov 05 2014Currently, components of consistent mass matrix are computed using various numerical integration schemes, each one alters in number of integration (Gauss) points, requires different amount of computations and possess different level of accuracy. We discuss ... More

Finite Type Invariants of Links with Fixed Linking MatrixJun 21 1999In this paper we introduce two theories of finite type invariants for framed links with fixed linking matrix. We show that these thepries are related to the theory of Vassiliev invariants of framed links. We also study the corresponding spaces of ``chord ... More

On the codimension growth of G-graded algebrasAug 17 2009Nov 21 2009Let W be an associative PI-affine algebra over a field F of characteristic zero. Suppose W is G-graded where G is a finite group. Let exp(W) and exp(W_e) denote the codimension growth of W and of the identity component W_e, respectively. We prove: exp(W) ... More

GRB after-glow: Supporting the cosmological fireball model, constraining parameters, and making predictionsApr 13 1997Cosmological fireball models of gamma-ray bursts (GRBs) predict delayed emission, ``after-glow,'' at longer wavelengths. We present several new results regarding the model predictions, and show that X-ray to optical observations of GRB970228 and GRB970402 ... More

Completing Partial Latin Squares - Alternative ProofMay 19 2016The problem of completing a partially specified n by n Latin square is solved by an alternative proof, based on filling the rows (or diagonals) from 1 to n, using an extended form of Hall's marriage theorem.

Iron: A Key Element for Understanding the Origin and Evolution of Interstellar DustMay 06 2016The origin and depletion of iron differ from all other abundant refractory elements that make up the composition of the interstellar dust. Iron is primarily synthesized in Type Ia supernovae (SNe Ia) and in core collapse supernovae (CCSN), and is present ... More

A Groupoid Approach to QuantizationDec 13 2006Sep 18 2007Many interesting C*-algebras can be viewed as quantizations of Poisson manifolds. I propose that a Poisson manifold may be quantized by a twisted polarized convolution C*-algebra of a symplectic groupoid. Toward this end, I define polarizations for Lie ... More

Quantization of Multiply Connected ManifoldsApr 17 2003The standard (Berezin-Toeplitz) geometric quantization of a compact Kaehler manifold is restricted by integrality conditions. These restrictions can be circumvented by passing to the universal covering space, provided that the lift of the symplectic form ... More

The Cantor set of linear orders on N is the universal minimal S_\infty-systemApr 10 2002Each topological group $G$ admits a unique universal minimal dynamical system $(M(G),G)$. When $G$ is a non-compact locally compact group the phase space $M(G)$ of this universal system is non-metrizable. There are however topological groups for which ... More

The group $\Aut(μ)$ is Roelcke precompactFeb 22 2009Following a similar result of Uspenskij on the unitary group of a separable Hilbert space we show that with respect to the lower (or Roelcke) uniform structure the Polish group $G= \Aut(\mu)$, of automorphisms of an atomless standard Borel probability ... More

An explicit representation of Verblunsky coefficientsSep 21 2011We prove a representation of the partial autocorrelation function (PACF) of a stationary process, or of the Verblunsky coefficients of its normalized spectral measure, in terms of the Fourier coefficients of the phase function. It is not of fractional ... More

Early emission from type Ia supernovaeAug 29 2011A unique feature of deflagration-to-detonation (DDT) white dwarf explosion models of SNe of type Ia is the presence of a strong shock wave propagating through the outer envelope. We consider the early emission expected in such models, which is produced ... More

Imploding ignition waves: I. one dimensional analysisAug 23 2011Jun 02 2012We show that converging spherical and cylindrical shock waves may ignite a detonation wave in a combustible medium, provided the radius at which the shocks become strong exceeds a critical radius, R_c. An approximate analytic expression for R_c is derived ... More

The Steinhaus-Weil property: its converse, Solecki amenability and subcontinuityJun 30 2016The Steinhaus-Weil theorem that concerns us here is the `interior points' property -- that in a topological group a non-negligible set S has the identity as an interior point of $SS^{-1}$. There are various converses; the one that mainly concerns us is ... More

Cauchy's functional equation and extensions: Goldie's equation and inequality, the Gołąb-Schinzel equation and Beurling's equationMay 15 2014Jun 02 2014The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ... More

Uniformity and self-neglecting functionsJan 24 2013We relax the continuity assumption in Bloom's uniform convergence theorem for Beurling slowly varying functions \phi. We assume that \phi has the Darboux property, and obtain results for \phi measurable or having the Baire property.

Design of Computer Experiments for Optimization, Estimation of Function Contours, and Related ObjectivesJan 22 2016A computer code or simulator is a mathematical representation of a physical system, for example a set of differential equations. Running the code with given values of the vector of inputs, x, leads to an output y(x) or several such outputs. For instance, ... More

Sequential regular variation: extensions of Kendall's theoremJan 21 2019Regular variation is a continuous-parameter theory; we work in a general setting, containing the existing Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases. We give sequential versions of the main theorems, that is, with sequential ... More

Kingman, category and combinatoricsMar 24 2010Kingman's Theorem on skeleton limits---passing from limits as $n\to \infty $ along $nh$ ($n\in \mathbb{N}$) for enough $h>0$ to limits as $t\to \infty $ for $t\in \mathbb{R}$---is generalized to a Baire/measurable setting via a topological approach. We ... More

A regional compound Poisson process for hurricane and tropical storm damageFeb 12 2016In light of intense hurricane activity along the U.S. Atlantic coast, attention has turned to understanding both the economic impact and behaviour of these storms. The compound Poisson-lognormal process has been proposed as a model for aggregate storm ... More

A finite-temperature liquid-quasicrystal transition in a lattice modelSep 06 2010We consider a tiling model of the two-dimensional square-lattice, where each site is tiled with one of the sixteen Wang tiles. The ground states of this model are all quasi-periodic. The systems undergoes a disorder to quasi-periodicity phase transition ... More

Single Molecule Chemical Reaction: Kramers Approach RevisitedApr 18 2005Single molecule chemical reactions yield new insight into fluctuation phenomena which are obscured in measurement of ensemble of molecules. Kramers escape problem is investigated here in a framework suitable for single molecule reactions. In particular ... More

Molecular imaging by optically-detected electron spin resonance of nitrogen-vacancies in nanodiamondNov 05 2012Dec 11 2012Molecular imaging refers to a class of noninvasive biomedical imaging techniques with the sensitivity and specificity to image biochemical variations in-vivo. An ideal molecular imaging technique visualizes a biochemical target according to a range of ... More

The Extragalactic Background Light and the Gamma-ray Opacity of the UniverseSep 20 2012Oct 10 2012The extragalactic background light (EBL) is one of the fundamental observational quantities in cosmology. All energy releases from resolved and unresolved extragalactic sources, and the light from any truly diffuse background, excluding the cosmic microwave ... More

A new method for numerical inversion of the Laplace transformJul 28 1998A formula of Doetsch ({\em Math. Zeitschr.} {\bf 42}, 263 (1937)) is generalized and used to numerically invert the one-sided Laplace transform ${\hat C}(\beta)$. The necessary input is only the values of ${\hat C}(\beta)$ on the positive real axis. The ... More

Simple G-graded algebras and their polynomial identitiesJul 23 2011Nov 15 2011Let G be any group and F an algebraically closed field of characteristic zero. We show that any G-graded finite dimensional associative G-simple algebra over F is determined up to a G-graded isomorphism by its G-graded polynomial identities. This result ... More

Anomalous InfiltrationFeb 13 2011Infiltration of anomalously diffusing particles from one material to another through a biased interface is studied using continuous time random walk and Levy walk approaches. Subdiffusion in both systems may lead to a net drift from one material to another ... More

Asymptotic self-similar solutions with a characteristic time-scaleFeb 20 2010Aug 18 2010For a wide variety of initial and boundary conditions, adiabatic one dimensional flows of an ideal gas approach self-similar behavior when the characteristic length scale over which the flow takes place, $R$, diverges or tends to zero. It is commonly ... More

The early UV/Optical emission from core-collapse supernovaeFeb 18 2010Apr 13 2013We derive a simple approximate model describing the early, hours to days, UV/optical supernova emission, which is produced by the expansion of the outer <~0.01 solar mass part of the shock-heated envelope, and precedes the optical emission driven by radioactive ... More

Pesin-Type Identity for Weak ChaosAug 10 2008Pesin's identity provides a profound connection between entropy $h_{KS}$ (statistical mechanics) and the Lyapunov exponent $\lambda$ (chaos theory). It is well known that many systems exhibit sub-exponential separation of nearby trajectories and then ... More

Prompt optical emission from residual collisions in GRB outflowsNov 15 2007Jan 03 2008The prompt gamma-ray emission in gamma-ray bursts is believed to be produced by internal shocks within a relativistic unsteady outflow. The recent detection of prompt optical emission accompanying the prompt gamma-ray emission appears to be inconsistent ... More

Dissipation can enhance quantum effectsFeb 08 2007Usually one finds that dissipation tends to make a quantum system more classical in nature. In this paper we study the effect of momentum dissipation on a quantum system. The momentum of the particle is coupled bilinearly to the momenta of a harmonic ... More

Estimation of critical exponents from the cluster coefficients: Application to hard spheresMar 20 2006Mar 27 2007For a large class of repulsive interaction models, the Mayer cluster integrals can be transformed into a tridiagonal symmetric matrix, whose elements converge to a constant with a 1/n^2 correction. We find exact expressions, in terms of these correction ... More

Minimality in General PDENov 22 2015Dec 04 2015This submission has been withdrawn by arXiv administrators as it is a machine-generated paper.

Livsic-type Determinantal Representations and HyperbolicityOct 10 2014Jul 14 2015Hyperbolic homogeneous polynomials with real coefficients, i.e., hyperbolic real projective hypersurfaces, and their determinantal representations, play a key role in the emerging field of convex algebraic geometry. In this paper we consider a natural ... More

Colored-Descent Representations of Complex Reflection Groups G(r,p,n)Mar 13 2005We study the complex reflection groups G(r,p,n). By considering these groups as subgroups of the wreath products Z_r wr S_n, and by using Clifford theory, we define combinatorial parameters and descent representations of G(r,p,n), previously known for ... More

Hadronisation at LEPOct 01 2003An overview of recent results from LEP concerning the hadronisation process is presented. Emphasis is placed on the $b$-quark. The first presented analysis is the measurement of the $b$-quark fragmentation function. It includes a new, hadronic-model independent ... More

Digital Version of Green`s Theorem and its Application to The Coverage Problem in Formal VerificationSep 07 2003We present a novel scheme to the coverage problem, introducing a quantitative way to estimate the interaction between a block and its enviroment.This is achieved by setting a discrete version of Green`s theorem, specially adapted for Model Checking based ... More

The Next Frontier for Openness: Wireless CommunicationsSep 25 2001Oct 02 2001For wireless communications, the FCC has fostered competition rather than openness. This has permitted the emergence of vertically integrated end-to-end providers, creating problems of reduced hardware innovation, software applications, user choice, and ... More

HAMR Thermal Reliability via Inverse Electromagnetic DesignJul 12 2014Heat-Assisted Magnetic Recording (HAMR) has promise to allow for data writing in hard disks of beyond 1 Tb/in2 areal density, by temporarily heating the area of a single datum to its Curie temperature while simultaneously applying a magnetic field from ... More

On regular G-gradingDec 03 2012Mar 08 2013Let A be an associative algebra over an algebraically closed field F of characteristic zero and let G be a finite abelian group. Regev and Seeman introduced the notion of a regular G-grading on A, namely a grading A= {\Sigma}_{g in G} A_g that satisfies ... More

Weak mixing properties for nonsingular actionsAug 01 2013Dec 17 2014For a general group G we consider various weak mixing properties of nonsingular actions. In the case where the action is actually measure preserving all these properties coincide, and our purpose here is to check which implications persist in the nonsingular ... More

Norm formulas for finite groups and induction from elementary abelian subgroupsFeb 09 2004Apr 21 2005It is known that the norm map N_G for a finite group G acting on a ring R is surjective if and only if for every elementary abelian subgroup E of G the norm map N_E for E is surjective. Equivalently, there exists an element x_G in R with N_G(x_G) = 1 ... More

Explicit elements of norm one for cyclic groupsDec 06 2000Let G be a cyclic p-group of order p^n acting by automorphisms on a (non-necessarily commutative) ring R. Suppose there is an element x in R such that (1 + t + ... + t^{p-1})(x) = 1, where t is an element of order p in G. We show how to construct an element ... More

On doubly minimal systems and a question regarding product recurrenceAug 12 2015We show that a doubly minimal system $X$ has the property that for every minimal system $Y$ the orbit closure of any pair $(y,x) \in Y \times X$ is either $Y \times X$ or it has the form $\Gamma_\pi = \{(\pi(x),x) : x \in X\}$ for some factor map $\pi: ... More

Minimal hyperspace actions of homeomorphism groups of h-homogeneous spacesJul 07 2011May 07 2012Let X be a h-homogeneous zero-dimensional compact Hausdorff space, i.e. X is a Stone dual of a homogeneous Boolean algebra. Using the dual Ramsey theorem and a detailed combinatorial analysis of what we call stable collections of subsets of a finite set, ... More

On fixed point theorems and nonsensitivityJul 29 2010Nov 02 2010Sensitivity is a prominent aspect of chaotic behavior of a dynamical system. We study the relevance of nonsensitivity to fixed point theory in affine dynamical systems. We prove a fixed point theorem which extends Ryll-Nardzewski's theorem and some of ... More

Constraints on the Local Sources of Ultra High-Energy Cosmic RaysSep 22 2008Ultra high-energy cosmic rays (UHECRs) are believed to be protons accelerated in magnetized plasma outflows of extra-Galactic sources. The acceleration of protons to ~10^{20} eV requires a source power L>10^{47} erg/s. The absence of steady sources of ... More

The Cumulative Bakground of High-Energy Neutrinos from Starburst GalaxiesJan 30 2006Apr 21 2006We show that starburst galaxies convert efficiently cosmic-rays into pions, which in turn decay into high-energy neutrinos and photons. The cumulative background of GeV neutrinos is 10^{-7}GeV/cm^2/s/sr. Its extrapolation to higher neutrino energies depends ... More

Simple CHT: A New Derivation of the Weakest Failure Detector for ConsensusOct 07 2013Sep 18 2014The paper proposes an alternative proof that Omega, an oracle that outputs a process identifier and guarantees that eventually the same correct process identifier is output at all correct processes, provides minimal information about failures for solving ... More

UV/Optical emission from the expanding envelopes of type II supernovaeJul 13 2016The early part of a supernova (SN) light-curve is dominated by radiation escaping from the expanding shock-heated progenitor envelope. For polytropic Hydrogen envelopes, the properties of the emitted radiation are described by simple analytic expressions ... More