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Relaxation of Functionals in the Space of Vector-Valued Functions of Bounded HessianFeb 08 2018In this paper it is shown that if $\Omega \subset \mathbb{R}^N$ is an open, bounded Lipschitz set, and if $f: \Omega \times \mathbb{R}^{d \times N \times N} \rightarrow [0, \infty)$ is a continuous function with $f(x, \cdot)$ of linear growth for all ... More

Synchronicity, Instant Messaging and Performance among Financial TradersOct 03 2011Successful animal systems often manage risk through synchronous behavior that spontaneously arises without leadership. In critical human systems facing risk, such as financial markets or military operations, our understanding of the benefits associated ... More

The Statistics of DNA Capture by a Solid-State NanoporeSep 14 2012A solid-state nanopore can electrophoretically capture a DNA molecule and pull it through in a folded configuration. The resulting ionic current signal indicates where along its length the DNA was captured. A statistical study using an 8 nm wide nanopore ... More

Neutral currents in a $SU(4)_{L}\otimes U(1)_{Y}$ gauge model with exotic electric chargesApr 12 2009The weak currents with respect to the diagonal neutral bosons $Z$,$Z^{\prime}$, and $Z^{\prime\prime}$ of a specific \textbf{$SU(4)_{L}\otimes U(1)_{Y}$} gauge model are computed in detail for all the fermion families involved therein. Our algebraical ... More

The Electric Charge Assignment in $SU(4)_{L}\otimes U(1)_{Y}$ Gauge ModelsFeb 09 2009In this brief report, apart from the usual approach, we discriminate among models in the class of \textbf{$SU(4)_{L}\otimes U(1)_{Y}$} electro-weak gauge models by just setting the versors in the method of the exactly solving gauge models with high symmetries. ... More

OpenWeather: a peer-to-peer weather data transmission protocolNov 01 2011The study of the weather is performed using instruments termed weather stations. These weather stations are distributed around the world, collecting the data from the different phenomena. Several weather organizations have been deploying thousands of ... More

Neutrino mass as a consequence of the exact solution of 3-3-1 gauge models without exotic electric chargesJan 10 2006Mar 06 2006The unjustly neglected method of exactly solving generalized electro-weak models - with an original spontaneous symmetry breaking mechanism based on the gauge group $SU(n)_{L}\otimes U(1)_{Y}$ - is applied here to a particular class of chiral 3-3-1 models. ... More

A system for constructing relatively small polyhedra from Sonobé modulesJun 16 2007We develop a quite elementary graph theoretic system for designing small-size augmented origami polyhedra out of Sonob\'e modules beginning with a (convex or not) deltahedron.

Approximate Euclidean Ramsey theoremsApr 09 2010According to a classical result of Szemer\'{e}di, every dense subset of $1,2,...,N$ contains an arbitrary long arithmetic progression, if $N$ is large enough. Its analogue in higher dimensions due to F\"urstenberg and Katznelson says that every dense ... More

CMC Surfaces in Riemannian Manifolds Condensing to a Compact Network of CurvesOct 23 2009A sequence of constant mean curvature surfaces $\Sigma_j$ with mean curvature $H_j \to \infty$ in a three-dimensional manifold $M$ condenses to a compact and connected graph $\Gamma$ consisting of a finite union of curves if $\Sigma_j$ is contained in ... More

Gluing Constructions Amongst Constant Mean Curvature Hypersurfaces in the (n+1)-SphereMar 15 2007Four constructions of constant mean curvature (CMC) hypersurfaces in the (n+1)-sphere are given, which should be considered analogues of `classical' constructions that are possible for CMC hypersurfaces in Euclidean space. First, Delaunay-like hypersurfaces, ... More

Equivariant Gluing Constructions of Contact Stationary Legendrian Submanifolds of the (2n+1)-SphereAug 11 2006Jul 03 2007A contact stationary Legendrian submanifold of $S^{2n+1}$ is a Legendrian submanifold whose volume is stationary under contact deformations. The simplest contact stationary Legendrian submanifold (actually minimal and Legendrian) is the real, equatorial ... More

Heterotic String Data and Theta FunctionsOct 30 2001May 02 2005The data required for heterotic string theory with gauge group G, which for anomaly cancellation reasons must either be E8 x E8 or Spin(32)/Z2, consist of the following: a ten-dimensional space-time X and a principal G-bundle P. The fields in the theory ... More

Design Patterns for Complex Event ProcessingJun 06 2008Currently engineering efficient and successful event-driven applications based on the emerging Complex Event Processing (CEP) technology, is a laborious trial and error process. The proposed CEP design pattern approach should support CEP engineers in ... More

A Typed Hybrid Description Logic Programming Language with Polymorphic Order-Sorted DL-Typed Unification for Semantic Web Type SystemsOct 02 2006Apr 03 2007In this paper we elaborate on a specific application in the context of hybrid description logic programs (hybrid DLPs), namely description logic Semantic Web type systems (DL-types) which are used for term typing of LP rules based on a polymorphic, order-sorted, ... More

ECA-LP / ECA-RuleML: A Homogeneous Event-Condition-Action Logic Programming LanguageSep 26 2006Event-driven reactive functionalities are an urgent need in nowadays distributed service-oriented applications and (Semantic) Web-based environments. An important problem to be addressed is how to correctly and efficiently capture and process the event-based ... More

Quarkonium in a viscous QGPJul 02 2009Sep 16 2009I discuss viscosity corrections to thermal effects on the static QCD potential within hard-thermal loop resummed perturbation theory and for a strongly coupled, large-N_c conformal field theory dual to five-dimensional Gauss-Bonnet gravity. I also present ... More

How the HBT-Puzzle at RHIC might dissipateJun 04 2002I compute the first-order corrections to two-particle Bose-Einstein correlations due to deviations from equilibrium. Based on that result I argue that for nearly perfect fluids, the HBT radii ``freeze out'' much later than the single-inclusive distribution. ... More

Design and Simulation of a Shunt Active Filter in Application for Control of Harmonic LevelsFeb 25 2010Nowadays, the active filters represent a viable alternative for controlling harmonic levels in industrial consumers electrical installations. It must be noted the availability of many different types of filter configurations that can be used but there ... More

Rigidity results for wreath product II$_1$ factorsJun 22 2006We consider II$_1$ factors of the form $M=\bar{\bigotimes}_{G}N\rtimes G$, where either i) $N$ is a non-hyperfinite II$_1$ factor and $G$ is an ICC amenable group or ii) $N$ is a weakly rigid II$_1$ factor and $G$ is ICC group and where $G$ acts on $\bar{\bigotimes}_{G}N$ ... More

Deformations of minimal Lagrangian submanifolds with boundaryOct 04 2001Jan 10 2002Let $L$ be a special Lagrangian submanifold of a compact, Calabi-Yau manifold $M$ with boundary lying on the symplectic, codimension 2 submanifold $W$. It is shown how deformations of $L$ which keep the boundary of $L$ confined to $W$ can be described ... More

Too Damned Quiet?Apr 04 2011It is often suggested that extraterrestial life sufficiently advanced to be capable of interstellar travel or communication must be rare, since otherwise we would have seen evidence of it by now. This in turn is sometimes taken as indirect evidence for ... More

Causal Quantum Theory and the Collapse Locality LoopholeApr 18 2002Mar 23 2005Causal quantum theory is an umbrella term for ordinary quantum theory modified by two hypotheses: state vector reduction is a well-defined process, and strict local causality applies. The first of these holds in some versions of Copenhagen quantum theory ... More

Entangled Mixed States and Local PurificationMay 29 1998Aug 23 1998Linden, Massar and Popescu have recently given an optimization argument to show that a single two-qubit Werner state, or any other mixture of the maximally entangled Bell states, cannot be purified by local operations and classical communications. We ... More

Against Many-Worlds InterpretationsMar 31 1997A short foreword has been added for the archive version of this article, which otherwise appears as originally published in 1990, except for the updating of references. The original abstract follows. This is a critical review of the literature on many-worlds ... More

Remarks on Consistent Histories and Bohmian MechanicsNov 22 1995Mar 22 1997Recent work with Dowker on the scientific status of the consistent histories approach to quantum theory is reviewed and summarised. The approach is compared with formulations of quantum theory, such as Bohmian mechanics and the Copenhagen interpretation ... More

A proposal for founding mistrustful quantum cryptography on coin tossingNov 19 2001Jun 12 2003A significant branch of classical cryptography deals with the problems which arise when mistrustful parties need to generate, process or exchange information. As Kilian showed a while ago, mistrustful classical cryptography can be founded on a single ... More

A critical look at risk assessments for global catastrophesSep 18 2000Jul 24 2015Recent papers by Busza et al. (BJSW) and Dar et al. (DDH) argue that astrophysical data can be used to establish small bounds on the risk of a "killer strangelet" catastrophe scenario in the RHIC and ALICE collider experiments. DDH and other commentators ... More

Secure Classical Bit Commitment using Fixed Capacity Communication ChannelsJun 28 1999Oct 02 2006If mutually mistrustful parties A and B control two or more appropriately located sites, special relativity can be used to guarantee that a pair of messages exchanged by A and B are independent. In earlier work, we used this fact to define a relativistic ... More

Non-Contextual Hidden Variables and Physical MeasurementsJun 01 1999Sep 17 1999For a hidden variable theory to be indistinguishable from quantum theory for finite precision measurements, it is enough that its predictions agree for some measurement within the range of precision. Meyer has recently pointed out that the Kochen-Specker ... More

Consistent Sets and Contrary Inferences: Reply to Griffiths and HartleAug 05 1998Aug 14 1998It was pointed out recently [A. Kent, Phys. Rev. Lett. 78 (1997) 2874] that the consistent histories approach allows contrary inferences to be made from the same data. These inferences correspond to projections $P$ and $Q$, belonging to different consistent ... More

Unconditionally Secure Quantum Bit CommitmentNov 17 1997Nov 21 1997This paper has been withdrawn: it does not evade the no-go results of Mayers, Lo and Chau, to whom I am most grateful for helpful correspondences.

Consistent Sets Yield Contrary Inferences in Quantum TheoryApr 04 1996Mar 21 1997In the consistent histories formulation of quantum theory, the probabilistic predictions and retrodictions made from observed data depend on the choice of a consistent set. We show that this freedom allows the formalism to retrodict contrary propositions ... More

On 3 and 4 dimensional regular solids, Part 1: The 4-simplex generates the free groupMay 13 2015May 31 2015The 4-simplex has vertices 5 unit quaternions, which we arrange so that one of them is the unit. We show that the remaining 4 vertices are the generators of a free group. For the proof, we introduce a new alternating length on words in free groups. We ... More

Gaps Between Almost-Primes and a Construction of Almost-Ramanujan GraphsJan 29 2015For all $k \geq 3$, we show how one can explicitly construct an infinite family of $k$-regular graphs all of which have second largest eigenvalue satisfying the bound $O(k^{1/2})$. This resolves an open problem of Reingold, Vadhan and Wigderson.

Quanta and QualiaAug 16 2016I sketch a line of thought about consciousness and physics that gives some motivation for the hypothesis that conscious observers deviate - perhaps only very subtly and slightly - from quantum dynamics. Although it is hard to know just how much credence ... More

A Selectable Sloppy HeapJul 26 2016We study the selection problem, namely that of computing the $i$th order statistic of $n$ given elements. Here we offer a data structure handling a dynamic version in which upon request: (i)~a new element is inserted or (ii)~an element of a prescribed ... More

HDR - A Hysteresis-Driven Routing Algorithm for Energy Harvesting Tag NetworksDec 22 2015The work contains a first attempt to treat the problem of routing in networks with energy harvesting units. We propose HDR - a Hysteresis Based Routing Algorithm and analyse it in a simple diamond network. We also consider a network with three forwarding ... More

A Solution to the Lorentzian Quantum Reality ProblemNov 01 2013Mar 26 2014The quantum reality problem is that of finding a mathematically precise definition of a sample space of configurations of beables, events, histories, paths, or other mathematical objects, and a corresponding probability distribution, for any given closed ... More

Quantum nonlocal correlations are not dominatedAug 22 2013We show that no probability distribution of spin measurement outcomes on pairs of spin 1/2 particles is unambiguously more nonlocal than the quantum correlations. That is, any distribution that produces a CHSH violation larger than the quantum violation ... More

A straightforward realization of a quasi-inverse seesaw mechanism at TeV scaleAug 27 2014Mar 18 2015In this letter we address the issue of generating appropriate tiny neutrino masses within the framework of a particular $SU(3)_{c}\otimes SU(3)_{L}\otimes U(1)_{X}$ gauge model by adding three singlet exotic Majorana neutrinos to the ones included in ... More

On the Success of Mishandling Euclid's LemmaJan 21 2016We examine Euclid's lemma that if $p$ is a prime number such that $p | ab$, then $p$ divides at least one of $a$ or $b$. Specifically, we consider the common misapplication of this lemma to numbers that are not prime, as is often made by undergraduate ... More

Rational Curves on Del Pezzo ManifoldsNov 12 2015We exploit an elementary specialization technique to study some properties of rational curves on index $n-1$ Fano $n$-folds. We prove a simple formula for counting rational curves passing through a suitable number of points in the case $n=3$. The arguments ... More

An algorithm to compute the Hilbert depthJul 23 2013Mar 03 2014We present an algorithm which computes the Hilbert depth of a graded module based on a theorem of Uliczka. Connected to a Herzog's question we see that the Hilbert depth of a direct sum of modules can be strictly bigger than the Hilbert depth of all the ... More

Classification and rigidity for von Neumann algebrasDec 03 2012In this talk, I will survey recent progress made on the classification of von Neumann algebras arising from countable groups and their actions on probability spaces. In particular, I will present the first results which provide classes of (superrigid) ... More

Review of Recent Developments in the CGCOct 29 2012I review recent developments in the CGC approach to high-energy collisions. The focus is on topics related to the Quark Matter conference, specifically on predictions for the p+Pb run at the LHC; as an added bonus some of these predictions are confronted ... More

D-affinity and Frobenius morphism on quadricsJul 06 2007Mar 30 2010We compute decomposition of Frobenius push-forwards of line bundles on quadrics into a direct sum of line bundles and spinor bundles. As an application we show when the Frobenius push-forward gives a tilting bundle and we apply it to study D-modules on ... More

On the Cordial Deficiency of Complete Multipartite GraphsJun 16 2007We calculate the cordial edge deficiencies of the complete multipartite graphs and find an upper bound for their cordial vertex deficiencies. We also give conditions under which the tensor product of two cordial graphs is cordial.

Cordial DeficiencyOct 25 2006We introduce two new measures of the noncordiality of a graph. We then calculate the values of these measures for various families of noncordial graphs. We also determine exactly which of the M\"obius ladders are cordial.

On the decycling of powers and products of cyclesJun 04 2007We calculate exact values of the decycling numbers of $C_{m} \times C_{n}$ for $m=3,4$, of $C_{n}^{2}$, and of $C_{n}^{3}$.

Cartan subalgebras of amalgamated free product II$_1$ factorsJun 30 2012Sep 10 2014We study Cartan subalgebras in the context of amalgamated free product II$_1$ factors and obtain several uniqueness and non-existence results. We prove that if $\Gamma$ belongs to a large class of amalgamated free product groups (which contains the free ... More

Some combinatorial aspects of quantum field theoryFeb 21 2011Nov 17 2012In this short survey we present the appearance of some combinatorial notions in quantum field theory. We first focus on topological graph polynomials (the Tutte polynomial and its multivariate version) and their relation with the parametric representation ... More

A 750 GeV graviton from holographic composite dark sectorsMar 29 2016Jul 18 2016We show that the 750 GeV di-photon excess can be interpreted as a spin-2 resonance arising from a strongly interacting dark sector featuring some departure from conformality. This spin-2 resonance has negligible couplings to the SM particles, with the ... More

Manin problems for Shimura varieties of Hodge typeSep 30 2002Jan 11 2011Let k be a perfect field of characteristic p>0. We prove the existence of ascending and descending slope filtrations for Shimura p-divisible objects over k. We use them to classify rationally these objects over \bar k. Among geometric applications, we ... More

Crystalline boundedness principleMay 17 2002Jan 04 2006We prove that an $F$-crystal $(M,\vph)$ over an algebraically closed field $k$ of characteristic $p>0$ is determined by $(M,\vph)$ mod $p^n$, where $n\ge 1$ depends only on the rank of $M$ and on the greatest Hodge slope of $(M,\vph)$. We also extend ... More

Comment on "Calculation of the Masses of All Fundamental Elementary Particles with an Accuracy of Approx. 1%" [Journal of Modern Physics, 2010, 1, 300-302]Feb 14 2011In a recent paper, K. O. Greulich propose an empirical, one-parameter rule which is claimed to predict the masses of all fundamental elementary particles. This statement seems to be true as sustained by the comparison of some experimental and calculated ... More

Edge waves along a sloping beachJun 26 2001We construct a family of explicit rotational solutions to the nonlinear governing equations for water waves, describing edge waves propagating over a plane-sloping beach. A detailed analysis of the edge wave dynamics and of the run-up pattern is made ... More

A note on restriction theorems for semistable sheavesMay 28 2009Jul 03 2010We prove a new restriction theorem for semistable sheaves on varieties in all characteristics strengthening previous results. We also prove restriction theorem for strong semistability for varieties with some non-negativity constrains on the cotangent ... More

A relative version of Connes' $χ(M)$ invariant and existence of orbit inequivalent actionsNov 08 2004Feb 14 2006We consider a new orbit equivalence invariant for measure-preserving actions of groups on the probability space, $\sigma:G\to$ Aut$(X,\mu)$, denoted $\chi_0(\sigma;G)$ and defined as the "intersection" of the 1-cohomology group, H$^1(\sigma,G)$, with ... More

Special Stanley DecompositionsAug 17 2010Nov 07 2010Let $I$ be an intersection of three monomial prime ideals of a polynomial algebra $S$ over a field. We give a special Stanley decomposition of $I$ which provides a lower bound of the Stanley depth of $I$, greater than or equal to $\depth\ (I)$, that is, ... More

Integral models in unramified mixed characteristic (0,2) of hermitian orthogonal Shimura varieties of PEL type, Part IIJun 27 2006Oct 25 2013We construct relative PEL type embeddings in mixed characteristic (0,2) between hermitian orthogonal Shimura varieties of PEL type. We use this to prove the existence of integral canonical models in unramified mixed characteristic (0,2) of hermitian orthogonal ... More

On two theorems for flat, affine group schemes over a discrete valuation ringJun 17 2004Nov 05 2004We include short and elementary proofs of two theorems characterizing reductive group schemes over a discrete valuation ring, in a slightly more general context.

Good Reductions of Shimura Varieties of Preabelian Type in Arbitrary Unramified Mixed Characteristic, INov 04 2003We prove the existence of weak integral canonical models of Shimura varieties of Hodge type in arbitrary unramified mixed characteristic $(0,p)$. As a first application we solve a conjecture of Langlands for Shimura varieties of Hodge type. As a second ... More

Logarithmic orbifold Euler numbers of surfaces with applicationsDec 19 2000We introduce orbifold Euler numbers for normal surfaces with Q-divisors. These numbers behave multiplicatively under finite maps and in the log canonical case we prove that they satisfy the Bogomolov-Miyaoka-Yau type inequality. As a corollary we prove ... More

Electro-weak $SU(4)_L\otimes U(1)_Y$ models without exotic electric chargesFeb 21 2009For the particular class of \textbf{$SU(4)_{L}\otimes U(1)_{Y}$} electro-weak models without exotic electric charges, some plausible phenomenological predictions - such as the boson mass spectrum and charges of all the fermions involved therein - are ... More

Implementing Canonical Seesaw Mechanism in a 3-3-1 Gauge Model without Exotic Electric ChargesMay 13 2006We prove that - even at a low TeV scale - the canonical seesaw mechanism can be naturally implemented in the exact solution of a particular 3-3-1 gauge model, since a very small alteration $\epsilon$ in the parameter matrix of the Higgs sector is taken ... More

A note on heterogeneous decompositions into spanning treesMay 15 2006In answer to a question of Eggleton, we prove that the complete multigraph on 5 vertices with edge multiplicity 6, namely $K_{5}^{(6)}$, has a decomposition into 5 copies of the family of trees of order 5 and that $K_{7}^{(22)}$ has a decomposition into ... More

The traveling salesman problem for lines and rays in the planeApr 26 2012In the Euclidean TSP with neighborhoods (TSPN), we are given a collection of $n$ regions (neighborhoods) and we seek a shortest tour that visits each region. In the path variant, we seek a shortest path that visits each region. We present several linear-time ... More

Quantum Reality via Late Time PhotodetectionAug 16 2016We further investigate postulates for realist versions of relativistic quantum theory and quantum field theory in Minkowski space and other background space-times. According to these postulates, quantum theory is supplemented by local variables that depend ... More

Rule-based Knowledge Representation for Service Level AgreementSep 21 2006Automated management and monitoring of service contracts like Service Level Agreements (SLAs) or higher-level policies is vital for efficient and reliable distributed service-oriented architectures (SOA) with high quality of ser-vice (QoS) levels. IT ... More

Color Glass Condensate at RHIC ?Mar 14 2002Heavy-ion collisions at the BNL-RHIC collider can probe whether gluon saturation effects in nuclei at small x have set in, or whether leading-twist perturbative estimates of particle production are still applicable. I discuss that soon to come data from ... More

Quantum Tagging for Tags Containing Secret Classical DataAug 31 2010Aug 27 2011Various authors have considered schemes for {\it quantum tagging}, that is, authenticating the classical location of a classical tagging device by sending and receiving quantum signals from suitably located distant sites, in an environment controlled ... More

Beyond Boundary Conditions: General Cosmological TheoriesMay 05 2009Time-symmetric cosmological theories, in which the initial and final states are arranged to have similar features or are independently fixed, have been quite extensively discussed in the literature. However, a more general and perhaps more useful possibility ... More

Unconditionally Secure Commitment of a Certified Classical Bit is ImpossibleOct 20 1999Nov 03 1999In a secure bit commitment protocol involving only classical physics, A commits either a 0 or a 1 to B. If quantum information is used in the protocol, A may be able to commit a state of the form $\alpha \ket{0} + \beta \ket{1}$. If so, she can also commit ... More

Coin Tossing is Strictly Weaker Than Bit CommitmentOct 22 1998Oct 29 1999We define cryptographic assumptions applicable to two mistrustful parties who each control two or more separate secure sites between which special relativity guarantees a time lapse in communication. We show that, under these assumptions, unconditionally ... More

Quantum Bit Commitment from a Computation BoundNov 26 1997Aug 20 1999This paper is withdrawn. See quant-ph/9806031 for a discussion.

Comment on "Spacetime Information"Oct 31 1996Mar 21 1997A recent paper by Hartle [Phys. Rev. D 51, 1800 (1995)] proposes a definition of "spacetime information" - the information available about a quantum system's boundary conditions in the various sets of decohering histories it may display - and investigates ... More

Unconditionally Secure Bit CommitmentOct 22 1998Aug 04 1999We describe a new classical bit commitment protocol based on cryptographic constraints imposed by special relativity. The protocol is unconditionally secure against classical or quantum attacks. It evades the no-go results of Mayers, Lo and Chau by requiring ... More

Permanently Secure Quantum Bit Commitment from a Temporary Computation BoundDec 01 1997Aug 20 1999This paper has been withdrawn. See quant-ph/9806031 for a discussion.

Unconditionally Secure Multi-Party ComputationNov 16 1997Feb 28 2005This paper was withdrawn on 20.11.97.

Quantum Histories and Their ImplicationsJul 30 1996May 23 2000Classical mechanics and standard Copenhagen quantum mechanics respect subspace implications. For example, if a particle is confined in a particular region $R$ of space, then in these theories we can deduce that it is confined in regions containing $R$. ... More

Abc of SUSYMay 28 2009This article is a very basic introduction to supersymmetry. It introduces the two kinds of superfields needed for supersymmetric extensions of the Standard Model, the chiral superfield and the vector superfield, and discusses in detail how to construct ... More

A theoretical update on t \bar{t} production near thresholdApr 04 2006We present an evaluation of the t\bar{t} cross section near threshold at next-to-next-to-leading logarithmic accuracy, using a two-step matching procedure. QED corrections are taken into account as well and are shown to be numerically important. Finally ... More

The Physics Programme at SuperBDec 06 2011SuperB is a next generation high luminosity $e^+e^-$ collider that will be built at the Cabibbo Laboratory, Tor Vergata, in Italy. The physics goals of this experiment are to search for signs of physics beyond the Standard Model through precision studies ... More

Approximation of smooth functions using Bernstein polynomials in multiple variablesSep 07 2016In this survey, we use (more or less) elementary means to establish the well-known result that for any given smooth multivariate function, the respective multivariate Bernstein polynomials converge to that function in all derivatives on each compact set. ... More

On the Ext Ring of Koszul RingsJun 01 2015Sep 04 2015The aim of this article is to study the Ext ring associated to a Koszul $R$-ring and to use it to provide further characterisations of the former. As such, for $R$ being a semisimple ring and $A$ a graded Koszul $R$-ring, we will prove that there is an ... More

Graphical Modeling of Spatial Health DataNov 24 2014The literature on Gaussian graphical models (GGMs) contains two equally rich and equally significant domains of research efforts and interests. The first research domain relates to the problem of graph determination. That is, the underlying graph is unknown ... More

An Explicit Result for $|L(1+it,χ)|$Sep 08 2014We give an explicit upper bound for non-principal Dirichlet $L$-functions on the line $s=1+it$. This result can be applied to improve the error in the zero-counting formulae for these functions.

Strong ergodicity, property (T), and orbit equivalence rigidity for translation actionsJun 25 2014We study equivalence relations that arise from translation actions $\Gamma\curvearrowright G$ which are associated to dense embeddings $\Gamma<G$ of countable groups into second countable locally compact groups. Assuming that $G$ is simply connected and ... More

Almost-Ramanujan Graphs and Prime GapsFeb 04 2014The method of Murty and Cioab\u{a} shows how one can use results about gaps between primes to construct families of almost-Ramanujan graphs. In this paper we give a simpler construction which avoids the search for perfect matchings and thus eliminates ... More

An Explicit Result for Primes Between CubesJan 17 2014We prove that there is a prime between $n^3$ and $(n+1)^3$ for all $n \geq \exp(\exp(33.217))$. Our new tool which we derive is a version of Landau's explicit formula for the Riemann zeta-function with explicit bounds on the error term. We use this along ... More

Path Integrals and RealityMay 28 2013We define the idea of {\it real path quantum theory}, a realist generalisation of quantum theory in which it is postulated that the configuration space path actually followed by a closed quantum system is probabilistically chosen. This is done a postulate ... More

Parallelisation of PyHEADTAIL, a Collective Beam Dynamics Code for Particle Accelerator PhysicsOct 17 2016The longitudinal tracking engine of the particle accelerator simulation application PyHEADTAIL shows a heavy potential for parallelisation. For basic beam circulation, the tracking functionality with the leap-frog algorithm is extracted and compared between ... More

A remark on the Kottwitz homomorphismAug 11 2016Aug 15 2016We prove that for any split connected reductive group G over a p-adic field F, the Kottwitz homomorphism exhibits a homomorphic section.

Fermions in Rotating Reference FramesDec 02 2015Feb 24 2016Current quantisations of fermions in cylindrical coordinates are shown to be inadequate in calculating some single-particle expectation values. This paper develops an alternate quantisation, applicable to one-particle states, which is generalised to rotating ... More

Data structuring for the ontological modelling of wind energy systemsOct 12 2015Small wind projects encounter difficulties to be efficiently deployed, partly because wrong way data and information are managed. Ontologies can overcome the drawbacks of partially available, noisy, inconsistent, and heterogeneous data sources, by providing ... More

On the relation of three theorems of analysis to the axiom of choiceSep 03 2015Nov 21 2016In what follows, essentially two things will be accomplished: Firstly, it will be proven that a version of the Arzel\`a--Ascoli theorem and the Fr\'echet--Kolmogorov theorem are equivalent to the axiom of countable choice for subsets of real numbers. ... More

On the Langlands parameter of a simple supercuspidal representation: odd orthogonal groupsJan 29 2015In this work, we explicitly compute a certain family of twisted gamma factors of a simple supercuspidal representation $\pi$ of a $p$-adic odd orthogonal group. These computations, together with analogous computations for general linear groups carried ... More

Use of the gravitational-wave interferometers to test Lorentz invariance violationAug 10 2016Currently operating gravitational-wave interferometers are Michelson interferometers with effective arm length L ~ 4x10e5 m. While the interferometer remains in lock, data at the fsr sideband frequency encode information on slow phase changes in the f ... More

Kelvin force in a layer of magnetic fluidApr 09 2002The Kelvin force in a layer of magnetic fluid subjected to a homogeneous magnetic field and local heating is studied. The study is motivated by the question about the corresponding Kelvin force density [M. Liu, Phys. Rev. Lett., 2762 (2000)]. It is shown ... More