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A Repeated Signal Difference for Recognising PatternsApr 18 2016Sep 07 2016This paper describes a new mechanism that might help with defining pattern sequences, by the fact that it can produce an upper bound on the ensemble value that can persistently oscillate with the actual values produced from each pattern. With every firing ... More

In Praise of Sequence (Co-)Algebra and its implementation in HaskellDec 14 2018What is Sequence Algebra? This is a question that any teacher or student of mathematics or computer science can engage with. Sequences are in Calculus, Combinatorics, Statistics and Computation. They are foundational, a step up from number arithmetic. ... More

A Feature-Value Network as a Brain ModelApr 09 2019This paper suggests a statistical framework for describing the relations between the physical and conceptual entities of a brain-like model. In particular, features and concept instances are put into context. This may help with understanding or implementing ... More

A Pattern-Hierarchy Classifier for Reduced TeachingApr 16 2019This paper uses a branching classifier mechanism in an unsupervised scenario, to enable it to self-organise data into unknown categories. A teaching phase is then able to help the classifier to learn the true category for each input row, using a reduced ... More

The slices of $S^n \wedge H\underline{\mathbb{Z}}$ for cyclic $p$-groupsOct 07 2015The slice filtration is a filtration of equivariant spectra. While the tower is analogous to the Postnikov tower in the nonequivariant setting, complete slice towers are known for relatively few $G$-spectra. In this paper, we determine the slice tower ... More

A Metric for Modelling and Measuring Complex Behavioural SystemsMar 04 2014This paper describes a metric for measuring the success of a complex system composed of agents performing autonomous behaviours. Because of the difficulty in evaluating such systems, this metric will help to give an initial indication as to how suitable ... More

Standardized network reconstruction of CHO cell metabolismApr 09 2013We have created a genome-scale network reconstruction of chinese hamster ovary (CHO) cell metabolism. Existing reconstructions were improved in terms of annotation standards, to facilitate their subsequent use in dynamic modelling. The resultant network ... More

New Ideas for Brain ModellingMar 05 2014Oct 17 2016This paper describes some biologically-inspired processes that could be used to build the sort of networks that we associate with the human brain. New to this paper, a 'refined' neuron will be proposed. This is a group of neurons that by joining together ... More

One lump or two?Oct 12 2012We investigate methods for modelling metabolism within populations of cells. Typically one represents the interaction of a cloned population of cells with their environment as though it were one large cell. The question is as to whether any dynamics are ... More

Geometrical Defects in Josephson Junction ArraysMar 22 1999Dislocations and disclinations in a lattice of Josephson junctions will affect the dynamics of vortex excitations within the array. These defects effectively distort the space in which the excitations move and interact. The interaction energy between ... More

An ergodic theorem for non-singular actions of the Heisenberg groupsFeb 14 2017We show that there is a sequence of subsets of each discrete Heisenberg group for which the non-singular ergodic theorem holds. The sequence depends only on the group; it works for any of its non-singular actions. To do this we use a metric which was ... More

The (n)-solvable filtration of the link concordance group and Milnor's invariantsNov 07 2012We establish several new results about both the (n)-solvable filtration, F_n^m, of the set of link concordance classes and the (n)-solvable filtration of the string link concordance group. We first establish a relationship between Milnor's invariants ... More

The normalized distance LaplacianMar 11 2019The distance matrix $\mathcal{D}(G)$ of a graph $G$ is the matrix containing the pairwise distances between vertices. The transmission of a vertex $v_i$ in $G$ is the sum of the distances from $v_i$ to all other vertices and $T(G)$ is the diagonal matrix ... More

New Ideas for Brain Modelling 3Nov 22 2016This paper considers a process for the creation and subsequent firing of sequences of neuronal patterns, as might be found in the human brain. The scale is one of larger patterns emerging from an ensemble mass, possibly through some type of energy equation ... More

In Praise of Sequence (Co-)Algebra and its implementation in HaskellDec 14 2018Feb 28 2019What is Sequence Algebra? This is a question that any teacher or student of mathematics or computer science can engage with. Sequences are in Calculus, Combinatorics, Statistics and Computation. They are foundational, a step up from number arithmetic. ... More

Geodesic Conjugacy in two-step nilmanifoldsMar 15 1995Two Riemannian manifolds are said to have $C^k$-conjugate geodesic flows if there exist an $C^k$ diffeomorphism between their unit tangent bundles which intertwines the geodesic flows. We obtain a number of rigidity results for the geodesic flows on compact ... More

Constraints on the Neutron Star Equation of State from GW170817Apr 22 2019The first detection of gravitational waves from a neutron star-neutron star merger, GW170817, has opened up a new avenue for constraining the ultradense-matter equation of state (EOS). The deviation of the observed waveform from a point-particle waveform ... More

Polarization transitions in interacting ring 1D arraysMay 02 2006Periodic nanostructures can display the dynamics of arrays of atoms while enabling the tuning of interactions in ways not normally possible in Nature. We examine one dimensional arrays of a ``synthetic atom,'' a one dimensional ring with a nearest neighbor ... More

Anisotropic Transport of Quantum Hall Meron-Pair ExcitationsJan 30 1997Double-layer quantum Hall systems at total filling factor $\nu_T=1$ can exhibit a commensurate-incommensurate phase transition driven by a magnetic field $B_{\parallel}$ oriented parallel to the layers. Within the commensurate phase, the lowest charge ... More

Localization of eigenvector centrality in networks with a cut vertexSep 04 2018Jan 10 2019We show that eigenvector centrality exhibits localization phenomena on networks that can be easily partitioned by the removal of a vertex cut set, the most extreme example being networks with a cut vertex. Three distinct types of localization are identified ... More

Empirical analysis of the variability in the flow-density relationship for smart motorwaysMar 12 2019The fundamental diagram is an assumed functional relationship between traffic flow and traffic density. In practice, this relationship is noisy and exhibits significant statistical variability. On smart motorways, this variability is increased by variable ... More

A new six dimensional irreducible symplectic varietyOct 19 2000By results of the author there exists a projective (holomorphic) symplectic desingularization of the moduli space of rank-two torsion-free sheaves on a genus-two Jacobian with $c_1=0$ and $c_2=2$. This desingularization has a natural map to the self-product ... More

Continuous Families of Isophasal Scattering ManifoldsNov 04 2002We construct continuous families of scattering manifolds with the same scattering phase. The manifolds are compactly supported metric perturbations of Euclidean $\mathbf{R}^{n}$ for $n\geq8$. The metric perturbation may have arbitrarily small support. ... More

Internally $4$-connected binary matroids with every element in three trianglesAug 21 2016Let $M$ be an internally $4$-connected binary matroid with every element in three triangles. Then $M$ has at least four elements $e$ such that si$(M/e)$ is internally 4-connected.

The Klein four slices of positive suspensions of HF_2Aug 16 2018Aug 28 2018We describe the slices of positive integral suspensions of the equivariant Eilenberg-Mac Lane spectrum HF_2 for the constant Mackey functor over the Klein four-group $C_2\times C_2$.

The weight-two Hodge structure of moduli spaces of sheaves on a K3 surfaceOct 02 1995We prove that the weight-two Hodge structure of moduli spaces of torsion-free sheaves on a K3 surface is as described by Mukai (the rank is arbitrary but we assume the first Chern class is primitive). We prove the moduli space is an irreducible symplectic ... More

Irreducible symplectic 4-folds numerically equivalent to Hilb^2(K3)Apr 21 2005Jul 19 2005First steps towards a classification of irreducible symplectic 4-folds whose integral 2-cohomology with 4-tuple cup product is isomorphic to that of Hilb^2(K3). We prove that any such 4-fold deforms to an irreducible symplectic 4-fold of Type A or Type ... More

A class of 2-groups admitting an action of the symmetric group of degree 3Jan 02 2013Jan 22 2013A biextraspecial group of rank $m$ is an extension of a special 2-group $Q$ of the form $2^{2 + 2m}$ by $L\cong L_2(2)$, such that the 3-element from $L$ acts on $Q$ fixed-point-freely. Subgroups of this type appear in at least the sporadic groups $J_2$, ... More

Periods of Double EPW-sexticsMar 29 2012Jul 20 2014We study the indeterminacy locus of the period map for double EPW-sextics. We recall that double EPW-sextics are parametrized by lagrangian subspaces of the third wedge-product of a 6-dimensional complex vector-space. The indeterminacy locus is contained ... More

Reflections on Shannon Information: In search of a natural information-entropy for imagesSep 05 2016It is not obvious how to extend Shannon's original information entropy to higher dimensions, and many different approaches have been tried. We replace the English text symbol sequence originally used to illustrate the theory by a discrete, bandlimited ... More

Polarization transitions in quantum ring arraysDec 05 2003We calculate the zero temperature electrostatic properties of charged one and two dimensional arrays of rings, in the classical and quantum limits. Each ring is assumed to be an ideal ring of negligible width, with exactly one electron on the ring that ... More

Desingularized moduli spaces of sheaves on a K3, IAug 06 1997May 22 1998Moduli spaces of semistable torsion-free sheaves on a K3 surface $X$ are often holomorphic symplectic varieties, deformation equivalent to a Hilbert scheme parametrizing zero-dimensional subschemes of $X$. In fact this should hold whenever semistability ... More

Isospectral deformations of metrics on spheresMay 16 2000Jul 06 2000We construct non-trivial continuous isospectral deformations of Riemannian metrics on the ball and on the sphere in $\R^n$ for every $n\geq 9$. The metrics on the sphere can be chosen arbitrarily close to the round metric; in particular, they can be chosen ... More

Towards a Splitter Theorem for Internally $4$-connected Binary Matroids VIIAug 02 2016Let $M$ be a $3$-connected binary matroid; $M$ is internally $4$-connected if one side of every $3$-separation is a triangle or a triad, and $M$ is $(4,4,S)$-connected if one side of every $3$-separation is a triangle, a triad, or a $4$-element fan. Assume ... More

Actions of small cancellation groups on hyperbolic spacesJul 27 2018Jul 30 2018We generalize Gruber--Sisto's construction of the coned--off graph of a small cancellation group to build a partially ordered set $\mathcal{TC}$ of cobounded actions of a given small cancellation group whose smallest element is the action on the Gruber--Sisto ... More

Theoretical Comparison of Rashba Spin-Orbit Coupling in Digitally, Discretely, and Continuously Alloyed NanostructuresMay 09 2011Although most theoretical calculations of quantum wells with non-square profiles assume that material composition is varied continuously, it is more common in experiment to grow digital alloys. We compare the Rashba spin-orbit interaction of triangular ... More

Polarization transitions in Quantum Dot Quantum Well ArraysJan 11 2011With the improvement in fabrication techniques it is now possible to produce atom-like semiconductor structures with unique electronic properties. This makes possible periodic arrays of nano-structures in which the Coulomb interaction, polarizability, ... More

Moduli of vector-bundles on surfacesSep 20 1996This is a survey paper: we discuss certain recent results, with some improvements. It will appear in the S. Cruz proceedings.

Structural Similarity Index SSIMplified: Is there really a simpler concept at the heart of image quality measurement?Jan 29 2015May 25 2015The Structural Similarity Index (SSIM) is generally considered to be a milestone in the recent history of Image Quality Assessment (IQA). Alas, SSIM's accepted development from the product of three heuristic factors continues to obscure it's real underlying ... More

Desingularized moduli spaces of sheaves on a K3, IIMay 22 1998In preprint alg-geom/9708009 we have constructed a (ten-dimensional) symplectic desingularization of the moduli space of rank-two torsion-free semistable sheaves on a $K3$, with trivial determinant and second Chern class equal to 4. In the present paper ... More

Property $P_{naive}$ for acylindrically hyperbolic groupsOct 13 2016We prove that every acylindrically hyperbolic group that has no non-trivial finite normal subgroup satisfies a strong ping pong property, the $P_{naive}$ property: for any finite collection of elements $h_1, \dots, h_k$, there exists another element $\gamma\neq ... More

Construction of Subspace Codes through LinkageMay 08 2015A construction is presented that allows to produce subspace codes of long length using subspace codes of shorter length in combination with a rank metric code. The subspace distance of the resulting code, called linkage code, is as good as the minimum ... More

Limits To Certainty in QoS Pricing and BandwidthOct 03 2001Advanced services require more reliable bandwidth than currently provided by the Internet Protocol, even with the reliability enhancements provided by TCP. More reliable bandwidth will be provided through QoS (quality of service), as currently discussed ... More

Isospectral potentials and conformally equivalent isospectral metrics on spheres, balls and Lie groupsSep 27 2002Nov 18 2002We construct pairs of conformally equivalent isospectral Riemannian metrics $\phi_1 g$ and $\phi_2 g$ on spheres $S^n$ and balls $B^{n+1}$ for certain dimensions $n$, the smallest of which is $n=7$, and on certain compact simple Lie groups. In the case ... More

Splittings of link concordance groupsJun 01 2016We establish several results about two short exact sequences involving lower terms of the $n$-solvable filtration, $\{\mathcal{F}^m_n\}$ of the string link concordance group $\mathcal{C}^m$. We utilize the Thom-Pontryagin construction to show that the ... More

Looking Under a Better Lamppost: MeV-scale Dark Matter CandidatesMar 14 2019The era of precision cosmology has revealed that about 85% of the matter in the universe is dark matter. Two well-motivated candidates are weakly interacting massive particles (WIMPs) and weakly interacting sub-eV particles (WISPs) (e.g. axions). Both ... More

Positron Annihilation in the GalaxyMar 13 2019The 511 keV line from positron annihilation in the Galaxy was the first $\gamma$-ray line detected to originate from outside our solar system. Going into the fifth decade since the discovery, the source of positrons is still unconfirmed and remains one ... More

Absence of evidence for pentaquarks on the latticeApr 09 2005May 04 2006We study the question of whether or not QCD predicts a pentaquark state. We use the improved, fixed point lattice QCD action which has very little sensitivity to the lattice spacing and also allows us to reach light quark masses. The analysis was performed ... More

Metabolic scaling law for fetus and placentaJun 12 2008We present a version of Kleiber's scaling law for fetus and placenta.

A new formulation of the equivariant slice filtration with applications to $C_p$-slicesMar 30 2017Aug 01 2017This paper provides a new way to understand the equivariant slice filtration. We give a new, readily checked condition for determining when a $G$-spectrum is slice $n$-connective. In particular, we show that a $G$-spectrum is slice greater than or equal ... More

Stratification of patient trajectories using covariate latent variable modelsOct 27 2016Standard models assign disease progression to discrete categories or stages based on well-characterized clinical markers. However, such a system is potentially at odds with our understanding of the underlying biology, which in highly complex systems may ... More

Non-singular $\mathbb{Z}^d$-actions: an ergodic theorem over rectangles with application to the critical dimensionsJun 06 2016We adapt techniques of Hochman to prove a non-singular ergodic theorem for $\mathbb{Z}^d$-actions where the sums are over rectangles with side lengths increasing at arbitrary rates, and in particular are not necessarily balls of a norm. This result is ... More

Distributed Lagrangian Methods for Network Resource AllocationSep 20 2016Aug 24 2017Motivated by a variety of applications in control engineering and information sciences, we study network resource allocation problems where the goal is to optimally allocate a fixed amount of resource over a network of nodes. In these problems, due to ... More

Boundary volume and length spectra of Riemannian manifolds: What the middle degree Hodge spectrum doesn't revealNov 02 2001Jul 16 2003Let $M$ be a $2m$-dimensional compact Riemannian manifold. We show that the spectrum of the Hodge Laplacian acting on $m$-forms does not determine whether the manifold has boundary, nor does it determine the lengths of the closed geodesics. Among the ... More

Determining optimal factors for chemical synthesis of pharmaceutical products using experimental dataFeb 03 2016In a chemical synthesis process to manufacture a pharmaceutical product, an initial set of substances evolve according to chemical reactions, under certain process conditions, into a series of new substances. One of these substances is a target pharmaceutical ... More

Revisiting the deconfinement phase transition in SU(4) Yang-Mills theory in 2+1 dimensionsDec 07 2007Apr 04 2008In order to deepen our understanding of the nature of the deconfinement phase transition for various gauge groups, we investigate SU(4) Yang-Mills theory in 2+1 dimensions. We find that the transition is weakly first order. We perform extensive Monte ... More

On the Crossing Numbers of Cartesian Products of Small Graphs with Paths, Cycles and StarsFeb 21 2019There has been significant research dedicated towards computing the crossing numbers of families of graphs resulting from the Cartesian products of small graphs with arbitrarily large paths, cycles and stars. For graphs with four or fewer vertices, these ... More

Isospectral deformations of negatively curved Riemannian manifolds with boundary which are not locally isometricMar 01 2000To what extent does the eigenvalue spectrum of the Laplace-Beltrami operator on a compact Riemannian manifold determine the geometry of the manifold? We give examples of isospectral manifolds with different local geometry including continuous families ... More

Limits on deviations from the inverse-square law on megaparsec scalesApr 06 2004Jun 29 2005We present an attempt to constrain deviations from the gravitational inverse-square law on large-scale structure scales. A perturbed law modifies the Poisson equation, which implies a scale-dependent growth of overdensities in the linear regime and thus ... More

From Neutron Star Observables to the Equation of State: An Optimal ParametrizationMay 11 2016The increasing number and precision of measurements of neutron star masses, radii, and, in the near future, moments of inertia offer the possibility of precisely determining the neutron star equation of state. One way to facilitate the mapping of observables ... More

Evaporative Cooling in Semiconductor DevicesMay 02 2006We discuss the theory of cooling electrons in solid-state devices via ``evaporative emission.'' Our model is based on filtering electron subbands in a quantum-wire device. When incident electrons in a higher-energy subband scatter out of the initial electron ... More

R-matrix theory for nanoscale phonon thermal transport across devices and interfacesSep 19 2011We have adapted R-matrix theory to calculate phonon scattering across systems of molecular to mesoscopic scale. The key novelty of this work is that the only required information about the scattering region are its normal modes, which are evaluated only ... More

Data Clustering and Graph Partitioning via Simulated MixingMar 15 2016Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue decompositions. Several ... More

Reasoning about effects: from lists to cyber-physical agentsJan 24 2018Theories for reasoning about programs with effects initially focused on basic manipulation of lists and other mutable data. The next challenge was to consider higher-order programming, adding functions as first class objects to mutable data. Reasoning ... More

Effect of Strong Disorder on 3-Dimensional Chiral Topological Insulators: Phase Diagrams, Maps of the Bulk Invariant and Existence of Topological Extended Bulk StatesAug 11 2014The effect of strong disorder on chiral-symmetric 3-dimensional lattice models is investigated via analytical and numerical methods. The phase diagrams of the models are computed using the non-commutative winding number, as functions of disorder strength ... More

A Component-oriented Framework for Autonomous AgentsJul 31 2017The design of a complex system warrants a compositional methodology, i.e., composing simple components to obtain a larger system that exhibits their collective behavior in a meaningful way. We propose an automaton-based paradigm for compositional design ... More

Distributed Resource Allocation Over Dynamic Networks with UncertaintyAug 11 2017Aug 03 2018Motivated by broad applications in various fields of engineering, we study a network resource allocation problem where the goal is to optimally allocate a fixed quantity of resources over a network of nodes. We consider large scale networks with complex ... More

Geodesic Orbit Riemannian Structures on $\mathbf{R}^n$Mar 02 2018Sep 26 2018A geodesic orbit manifold is a complete Riemannian manifold all of whose geodesics are orbits of one-parameter groups of isometries. We give both a geometric and an algebraic characterization of geodesic orbit manifolds that are diffeomorphic to $\mathbf{R}^n$. ... More

Neural correlates of self-generated imagery and cognition throughout the sleep cycleOct 06 2016Humans have been aware for thousands of years that sleep comes in many forms, accompanied by different kinds of mental content. We review the first-person report literature on the frequency and type of content experienced in various stages of sleep, showing ... More

Impact of the infectious period on epidemicsOct 16 2017May 24 2018The duration of the infectious period is a crucial determinant of the ability of an infectious disease to spread. We consider an epidemic model that is network based and non-Markovian, containing classic Kermack-McKendrick, pairwise, message passing, ... More

Message passing and moment closure for susceptible-infected-recovered epidemics on finite networksSep 14 2013Feb 25 2014The message passing approach of Karrer and Newman [Phys. Rev. E 82, 016101 (2010)] is an exact and practicable representation of susceptible-infected-recovered dynamics on finite trees. Here we show that, assuming Poisson contact processes, a pair-based ... More

Double Longitudinal Spin Asymmetry in Neutral Pion Production in Polarized p+p Collisions at sqrt(s)=200 GeV at PHENIXJan 26 2007A major goal of the RHIC spin program is to measure \Delta g, the gluon contribution to the proton's spin. Measurements by PHENIX of the double longitudinal spin asymmetry, A_LL, of the neutral pion production at mid-rapidity in polarized proton collisions ... More

Line of Dirac Nodes in Hyper-Honeycomb LatticesAug 23 2014Jul 09 2015We propose a family of free fermion lattice models that have "Dirac loops", closed lines of Dirac nodes in momentum space, on which the density of states vanishes linearly with energy. Those lattices all possess the planar trigonal connectivity present ... More

Size Dependent Growth in Metabolic NetworksOct 09 2012Accurately determining and classifying the structure of complex networks is the focus of much current research. One class of network of particular interest are metabolic pathways, which have previously been studied from a graph theoretical viewpoint in ... More

An Exact Relationship Between Invasion Probability and Endemic Prevalence for Markovian SIS Dynamics on NetworksFeb 01 2013Aug 01 2013Understanding models which represent the invasion of network-based systems by infectious agents can give important insights into many real-world situations, including the prevention and control of infectious diseases and computer viruses. Here we consider ... More

Recovering the Lie algebra from its extremal geometryOct 22 2014An element $x$ of a Lie algebra $L$ over the field $F$ is extremal if $[x,[x,L]]=Fx$. Under minor assumptions, it is known that, for a simple Lie algebra $L$, the extremal geometry ${\cal{E}}(L)$ is a subspace of the projective geometry of $L$ and either ... More

Studies of Molecular Clouds associated with H II Regions: S175Mar 24 2009We are studying the impact of HII regions on star formation in their associated molecular clouds. In this paper we present JCMT RxA molecular line observations of S175 and environs. This is the first within a sample of ten HII regions and their surrounding ... More

Stacking weak lensing signals of SZ clusters to constrain cluster physicsJan 12 2006We show how to place constraints on cluster physics by stacking the weak lensing signals from multiple clusters found through the Sunyaev-Zeldovich (SZ) effect. For a survey that covers about 200 sq. deg. both in SZ and weak lensing observations, the ... More

Smoothing spline primordial power spectrum reconstructionJun 28 2005Nov 01 2005We reconstruct the shape of the primordial power spectrum (PPS) using a smoothing spline. Our adapted smoothing spline technique provides a complementary method to existing efforts to search for smooth features in the PPS, such as a running spectral index. ... More

Distributed primal dual methods for economic dispatch in power networksSep 20 2016In this paper we study economic dispatch problems for a group of $n$ generators communicating over an undirected network. The goal of this problem is to seek a fair load sharing between generators in such a way that minimizes their total generated costs ... More

Finite-temperature extension for cold neutron star equations of stateFeb 27 2019Observations of isolated neutron stars place constraints on the equation of state (EOS) of cold, neutron-rich matter, while nuclear physics experiments probe the EOS of hot, symmetric matter. Many dynamical phenomena, such as core-collapse supernovae, ... More

A Compositional Framework for Preference-Aware AgentsDec 15 2016A formal description of a Cyber-Physical system should include a rigorous specification of the computational and physical components involved, as well as their interaction. Such a description, thus, lends itself to a compositional model where every module ... More

New homogeneous Einstein metrics of negative Ricci curvatureAug 17 1999We construct new homogeneous Einstein spaces with negative Ricci curvature in two ways: First, we give a method for classifying and constructing a class of rank one Einstein solvmanifolds whose derived algebras are two-step nilpotent. As an application, ... More

Inductive tools for connected ribbon graphs, delta-matroids and multimatroidsFeb 23 2017Mar 08 2017We prove a splitter theorem for tight multimatroids, generalizing the corresponding result for matroids, obtained independently by Brylawski and Seymour. Further corollaries give splitter theorems for delta-matroids and ribbon graphs.

Cyclic Orbit Codes and Stabilizer SubfieldsMar 05 2014Cyclic orbit codes are constant dimension subspace codes that arise as the orbit of a cyclic subgroup of the general linear group acting on subspaces in the given ambient space. With the aid of the largest subfield over which the given subspace is a vector ... More

Continuous families of isospectral Riemannian metrics which are not locally isometricFeb 13 1997Two Riemannian manifolds are said to be isospectral if the associated Laplace-Belttrami operators have the same eigenvalue spectrum. If the manifolds have boundary, one specifies DIrichlet or Neumann isospectrality depending on the boundary conditions ... More

Towards a splitter theorem for internally 4-connected binary matroids VIII: small matroidsJan 01 2015Jul 12 2016Our splitter theorem for internally 4-connected binary matroids studies pairs of the form (M,N), where N and M are internally 4-connected binary matroids, M has a proper N-minor, and if M' is an internally 4-connected matroid such that M has a proper ... More

Towards a splitter theorem for internally 4-connected binary matroids IIJun 20 2012Let M and N be internally 4-connected binary matroids such that M has a proper N-minor, and |E(N)| is at least seven. As part of our project to develop a splitter theorem for internally 4-connected binary matroids, we prove the following result: if M\e ... More

Towards the Automated Verification of Cyber-Physical Security Protocols: Bounding the Number of Timed IntrudersMay 27 2016Timed Intruder Models have been proposed for the verification of Cyber-Physical Security Protocols (CPSP) amending the traditional Dolev-Yao intruder to obey the physical restrictions of the environment. Since to learn a message, a Timed Intruder needs ... More

Implementation of Artifact Detection in Critical Care: A Methodological ReviewApr 30 2018Artifact Detection (AD) techniques minimize the impact of artifacts on physiologic data acquired in Critical Care Units (CCU) by assessing quality of data prior to Clinical Event Detection (CED) and Parameter Derivation (PD). This methodological review ... More

Einstein solvmanifolds have maximal symmetryJul 29 2015All known examples of homogeneous Einstein metrics of negative Ricci curvature can be realized as left-invariant Riemannian metrics on solvable Lie groups. After defining a notion of maximal symmetry among left-invariant Riemannian metrics on a Lie group, ... More

Spectral isolation of naturally reductive metrics on simple Lie groupsJul 05 2007Jun 28 2010We show that within the class of left-invariant naturally reductive metrics $\mathcal{M}_{\operatorname{Nat}}(G)$ on a compact simple Lie group $G$, every metric is spectrally isolated. We also observe that any collection of isospectral compact symmetric ... More

Hyperbolic structures on groupsOct 14 2017Nov 17 2018For every group $G$, we introduce the set of hyperbolic structures on $G$, denoted $\mathcal{H}(G)$, which consists of equivalence classes of (possibly infinite) generating sets of $G$ such that the corresponding Cayley graph is hyperbolic; two generating ... More

Neutral Pion Double Longitudinal Spin Asymmetry in Proton-Proton Collisions at sqrt(s)=200 GeV Using the PHENIX DetectorJun 04 2006New results from polarized p-p collisions at sqrt(s)=200 GeV of double longitudinal spin asymmetry in pi0 production using the PHENIX detector in the 2005 RHIC run are presented. Both positive and negative maximal gluon polarization scenarios are inconsistent ... More

The Reverse of The Law of Large NumbersMar 27 2008The Law of Large Numbers tells us that as the sample size (N) is increased, the sample mean converges on the population mean, provided that the latter exists. In this paper, we investigate the opposite effect: keeping the sample size fixed while increasing ... More

Goldstone mode kink-solitons in double layer quantum Hall systemsNov 15 2002It is shown that in charge unbalanced double layer quantum Hall system with zero tunneling pseudospin Goldstone mode excitations form moving kink-soliton in weakly nonlinear limit. This charge-density localization moves with a velocity of gapless linear ... More

A survey of graphs with known or bounded crossing numbersJan 16 2019Jan 31 2019We present, to the best of the authors' knowledge, all known results for the crossing numbers of specific graphs and graph families. The results are separated into various categories; specifically, results for general graph families, results for graphs ... More

Systematic construction of scarred many-body dynamics in 1D lattice modelsMar 25 2019Mar 27 2019We introduce a family of non-integrable 1D lattice models that feature robust periodic revivals under a global quench from certain initial product states, thus generalizing the phenomenon of many-body scarring recently observed in Rydberg atom quantum ... More

Complete hierarchies of SIR models on arbitrary networks with exact and approximate moment closureJan 26 2015Apr 24 2015We first generalise ideas discussed by Kiss et al. (2015) to prove a theorem for generating exact closures (here expressing joint probabilities in terms of their constituent marginal probabilities) for susceptible-infectious-removed (SIR) dynamics on ... More

An effective crossing minimisation heuristic based on star insertionApr 26 2018Feb 15 2019We present a new heuristic method for minimising crossings in a graph. The method is based upon repeatedly solving the so-called {\em star insertion problem} in the setting where the combinatorial embedding is fixed, and has several desirable characteristics ... More