John W. Barrett

Publication List Details

Period

0000 - 2009

Number

143

Co-Authors

A Summary of the asymptotic analysis for the EPRL amplitude (2009)

Barrett, John W., Dowdall, Richard J., Fairbairn, Winston J., Gomes, Henrique, Hellmann, Frank

We review the basic steps in building the asymptotic analysis of the Euclidean sector of new spin foam models using coherent states, for Immirzi parameter less than one. We focus on conceptual issues...

Existence and approximation of a (regularized) Oldroyd-B model (2009)

Barrett, John W., Boyaval, Sebastien

We consider finite element approximations of the Oldroyd-B equations under no flow boundary conditions in a bounded domain. We use continuous piecewise quadratics for the velocity field and either...

Lorentzian spin foam amplitudes: graphical calculus and asymptotics (2009)

Barrett, John W., Dowdall, Richard J., Fairbairn, Winston J., Hellmann, Frank, Pereira, Roberto

The amplitude for the 4-simplex in a spin foam model for quantum gravity is defined using a graphical calculus for the unitary representations of the Lorentz group. The asymptotics of this amplitude...

Asymptotic analysis of the EPRL four-simplex amplitude (2009)

Barrett, John W., Dowdall, R. J., Fairbairn, Winston J., Gomes, Henrique, Hellmann, Frank

The semiclassical limit of a 4-simplex amplitude for a spin foam quantum gravity model with an Immirzi parameter is studied. If the boundary state represents a non-degenerate 4-simplex geometry, the...

Numerical approximation of corotational dumbbell models for dilute polymers (2009)

Barrett, John W., Süli, Endre

We construct a general family of Galerkin methods for the numerical approximation of weak solutions to a bead-spring model that arises from the kinetic theory of dilute solutions of polymeric liquids...

Unlinked Embedded Graphs (2008)

John W. Barrett, Typeset Ams-tex, John W. Barrett

Abstract. This paper is a self-contained development of an invariant of graphs embedded in three-dimensional Euclidean space using the Jones polynomial and skein theory. Some examples of the...

The Ponzano-Regge model (2008)

Barrett, John W., Naish-Guzman, Ileana

The definition of the Ponzano-Regge state-sum model of three-dimensional quantum gravity with a class of local observables is developed. The main definition of the Ponzano-Regge model in this paper...

Mackaay M.: Categorical Representations of Categorical Groups (2008)

John W. Barrett, Marco Mackaay

Abstract. A representation theory for (strict) categorical groups is constructed. Each categorical group determines a monoidal bicategory of representations. Typically, these bicategories contain...

Mackaay M.: Categorical Representations of Categorical Groups (2008)

John W. Barrett, Marco Mackaay

Abstract. A representation theory for (strict) categorical groups is constructed. Each categorical group determines a monoidal bicategory of representations. Typically, these bicategories contain...

Numerical approximation of anisotropic geometric evolution equations in the plane (2008)

Barrett, John W., Garcke, Harald, Nürnberg, Robert

We present a variational formulation of fully anisotropic motion by surface diffusion and mean curvature flow, as well as related flows. The proposed scheme covers both the closed-curve case and the...

On $p$-harmonic map heat flows for {$1\leq p< \infty$} and their finite element approximations (2007)

Barrett, John W., Feng, Xiaobing, Prohl, Andreas

Motivated by emerging applications from imaging processing, the heat flow of a generalized $p$-harmonic map into spheres is studied for the whole spectrum, $1\leq p

SKEIN SPACES AND SPIN STRUCTURES (2007)

John W. Barrett

Abstract. This paper relates skein spaces based on the Kauffman bracket and spin structures. A spin structure on an oriented 3-manifold provides an isomorphism between the skein space for parameter A...

J.W. Barrett and J.F. Blowey 1 Finite Element Approximation of a Model for Order-Disorder and Phase Separation in Binary Alloys (2007)

John W. Barrett, James F. Blowey

y Partially supported by the EPSRC, U.K. through grants GR/M29689 and GR/M30951. In this paper we present an overview of our recent work on an AllenCahn /Cahn-Hilliard system, which arises in the...

J.W. Barrett and J.F. Blowey 1 Finite Element Approximation of a Degenerate Allen-Cahn/Cahn-Hilliard System (2007)

John W. Barrett, James F. Blowey

y Partially supported by the EPSRC, U.K. through grants GR/M29689 and GR/M30951. We consider a fully practical nite element approximation of an AllenCahn /Cahn-Hilliard system with a degenerate...

Finite Element Approximation of an Allen-Cahn/Cahn-Hilliard System (2007)

John W. Barrett, James F. Blowey

We consider an Allen-Cahn/Cahn-Hilliard system with a non-degenerate mobility and (i) a logarithmic free energy and (ii) a non-smooth free energy (the deep quench limit). This system arises in the...

AND PETER KNABNER (2007)

John W. Barrett, Theta T

Abstract. In this paper we analyse a fully practical piecewise linear finite element approximation; involving numerical integration, backward Euler time discretization and possibly regularization; of...

and (2007)

John W. Barrett, James F. Blowey, Harald Garcke

y Partially supported by the DFG through the SFB256 Nichtlineare Partielle Differentialgleichungen. We consider a fully practical finite element approximation of the Cahn-Hilliard equation with...

AND PETER KNABNER (2007)

John W. Barrett, Theta T

Abstract. In this paper we analyse a fully practical piecewise linear finite element approximation; involving numerical integration, backward Euler time discretization and possibly regularization; of...

z AND PETER KNABNER (2007)

John W. Barrett, Theta T

Abstract. In this paper we analyse a fully practical piecewise linear finite element approximation; involving numerical integration, backward Euler time discretization and possibly regularization and...

AND PETER KNABNER (2007)

John W. Barrett

Abstract. In this paper we consider the Lagrange Galerkin finite element approximation by continuous piecewise linears in space of the following problem: Given\Omega ae R d; 1 d 3, find u(x; t) and...

y AND PETER KNABNER (2007)

John W. Barrett, Theta T

Abstract. In this paper we analyse a fully practical piecewise linear finite element approximation; involving numerical integration, backward Euler time discretization and possibly regularization and...

y (2007)

John W. Barrett, Janice A. Robson, S Uli

Abstract. We develop the a posteriori error analysis of mixed nite element approximations of a general family of steady, viscous, incompressible quasi-Newtonian uids in a bounded Lipschitz domain

On the parametric finite element approximation of evolving hypersurfaces in R³ (2007)

Barrett, John W., Garcke, Harald, Nürnberg, Robert

We present a variational formulation of motion by minus the Laplacian of curvature and mean curvature flow, as well as related second and fourth order flows of a closed hypersurface in R³. On...

Comparative Genetic Analysis of Genomic DNA Sequences of Two Human Isolates of Tanapox virus (2007)

Nazarian, Steven H., Barrett, John W., Frace, A. Michael, Olsen-Rasmussen, Melissa, Khristova, Marina, Shaban, Mae, ...

Members of the genus Yatapoxvirus, which include Tanapox virus (TPV) and Yaba monkey tumor virus, infect primates including humans. Two strains of TPV isolated 50 years apart from patients infected...

Numerical approximation of anisotropic geometric evolution equations in the plane (2007)

Barrett, John W., Garcke, Harald, Nürnberg, Robert

We present a variational formulation of fully anisotropic motion by surface diffusion and mean curvature flow, as well as related flows. The proposed scheme covers both the closed-curve case and the...

The Ponzano-Regge model and Reidemeister torsion (2006)

Barrett, John W., Naish-Guzman, Ileana

The Ponzano-Regge model of three-dimensional quantum gravity is well-defined when the observables satisfy a certain condition involving the twisted cohomology. In this case, the partition function is...

A Lorentzian version of the non-commutative geometry of the standard model of particle physics (2006)

Barrett, John W.

A formulation of the non-commutative geometry for the standard model of particle physics with a Lorentzian signature metric is presented. The elimination of the fermion doubling in the Lorentzian...

Non-commutative geometry and the standard model vacuum (2006)

Barrett, John W., Martins, Rachel A. Dawe

The space of Dirac operators for the Connes-Chamseddine spectral action for the standard model of particle physics coupled to gravity is studied. The model is extended by including right-handed...

Numerical Approximation of Anisotropic Geometric Evolution Equations (2006)

Barrett, John W., Garcke, Harald, Nürnberg, Robert

We present a variational formulation of fully anisotropic motion by surface diffusion and mean curvature flow, as well as related flows. The proposed scheme covers both the closed curve case, and the...

Dual frequency 230/690 GHz interferometry at the Submillimeter Array (2005)

Hunter, Todd R., Barrett, John W., Blundell, Raymond, Christensen, Robert D., Kimberk, Robert S., Leiker, Steven P., ...

The Submillimeter Array (SMA), a collaboration between the Smithsonian Astrophysical Observatory and the Academica Sinica Institute for Astronomy and Astrophysics of Taiwan, is an eight-element...

Feynman diagams coupled to three-dimensional quantum gravity (2005)

Barrett, John W.

A framework for quantum field theory coupled to three-dimensional quantum gravity is proposed. The coupling with quantum gravity regulates the Feynman diagrams. One recovers the usual Feynman...

Sandpiles and superconductors: dual variational formulations for critical-state problems (2004)

Barrett, John W., Prigozhin, Leonid

Similar evolutionary variational inequalities appear as convenient formulations for continuous models for sandpile growth, magnetization of type-II superconductors, and evolution of some other...

Feynman loops and three-dimensional quantum gravity (2004)

Barrett, John W.

This paper explores the idea that within the framework of three-dimensional quantum gravity one can extend the notion of Feynman diagram to include the coupling of the particles in the diagram with...

Observables in the Turaev-Viro and Crane-Yetter models (2004)

Barrett, John W., Garcia-Islas, J. Manuel, Martins, Joao Faria

We define an invariant of graphs embedded in a three-manifold and a partition function for 2-complexes embedded in a triangulated four-manifold by specifying the values of variables in the...

Categorical representations of categorical groups (2004)

Barrett, John W., Mackaay, Marco

The representation theory for categorical groups is constructed. Each categorical group determines a monoidal bicategory of representations. Typically, these categories contain representations which...

Asymptotics of Relativistic Spin Networks (2002)

Barrett, John W, Steele, Christopher M

The stationary phase technique is used to calculate asymptotic formulae for SO(4) Relativistic Spin Networks. For the tetrahedral spin network this gives the square of the Ponzano-Regge asymptotic...

Geometrical measurements in three-dimensional quantum gravity (2002)

Barrett, John W.

A set of observables is described for the topological quantum field theory which describes quantum gravity in three space-time dimensions with positive signature and positive cosmological constant....

Geometrical measurements in three-dimensional quantum gravity (2002)

Barrett, John W

A set of observables is described for the topological quantum field theory which describes quantum gravity in three space-time dimensions with positive signature and positive cosmological constant....

Geometrical measurements in three-dimensional quantum gravity (2002)

Barrett, John W.

A set of observables is described for the topological quantum field theory which describes quantum gravity in three space-time dimensions with positive signature and positive cosmological constant....

Geometrical measurements in three-dimensional quantum gravity (2002)

Barrett, John W.

A set of observables is described for the topological quantum field theory which describes quantum gravity in three space-time dimensions with positive signature and positive cosmological constant....

Finite element approximation of an Allen-Cahn/Cahn-Hilliard system (2002)

Barrett, John W., Blowey, James F.

We consider an Allen–Cahn/Cahn–Hilliard system with a non‐degenerate mobility and (i) a logarithmic free energy and (ii) a non‐smooth free energy (the deep quench limit). This...

Integrability for Relativistic Spin Networks (2001)

Baez, John C., Barrett, John W.

The evaluation of relativistic spin networks plays a fundamental role in the Barrett-Crane state sum model of Lorentzian quantum gravity in 4 dimensions. A relativistic spin network is a graph...

Integrability for Relativistic Spin Networks (2001)

Barrett, John W, Baez, John C

The evaluation of relativistic spin networks plays a fundamental role in the Barrett-Crane state sum model of Lorentzian quantum gravity in 4 dimensions. A relativistic spin network is a graph...

Integrability for Relativistic Spin Networks (2001)

Barrett, John W., Baez, John C.

The evaluation of relativistic spin networks plays a fundamental role in the Barrett-Crane state sum model of Lorentzian quantum gravity in 4 dimensions. A relativistic spin network is a graph...

Integrability for Relativistic Spin Networks (2001)

Barrett, John W., Baez, John C.

The evaluation of relativistic spin networks plays a fundamental role in the Barrett-Crane state sum model of Lorentzian quantum gravity in 4 dimensions. A relativistic spin network is a graph...

Refractive gravitational waves and quantum fluctuations (2000)

Barrett, John W.

Refractive gravitational waves are a generalisation of impulsive waves on a null hypersurface in which the metric is discontinuous but a weaker continuity condition for areas holds. A simple example...

State sum models for quantum gravity (2000)

Barrett, John W.

This paper reviews the construction of quantum field theory on a 4-dimensional spacetime by combinatorial methods, and discusses the recent developments in the direction of a combinatorial...

Unlinked Embedded Graphs (2000)

Barrett, John W.

This paper is a self-contained development of an invariant of graphs embedded in three-dimensional Euclidean space using the Jones polynomial and skein theory. Some examples of the invariant are...

State sum models for quantum gravity (2000)

Barrett, John W

This paper reviews the construction of quantum field theory on a 4-dimensional spacetime by combinatorial methods, and discusses the recent developments in the direction of a combinatorial...

A Lorentzian Signature Model for Quantum General Relativity (2000)

Barrett, John W., Crane, Louis

We give a relativistic spin network model for quantum gravity based on the Lorentz group and its q-deformation, the Quantum Lorentz Algebra. We propose a combinatorial model for the path integral...

Unlinked Embedded Graphs (2000)

Barrett, John W.

This paper is a self-contained development of an invariant of graphs embedded in three-dimensional Euclidean space using the Jones polynomial and skein theory. Some examples of the invariant are...

State sum models for quantum gravity (2000)

Barrett, John W.

This paper reviews the construction of quantum field theory on a 4-dimensional spacetime by combinatorial methods, and discusses the recent developments in the direction of a combinatorial...

A Lorentzian Signature Model for Quantum General Relativity (2000)

Barrett, John W., Crane, Louis

We give a relativistic spin network model for quantum gravity based on the Lorentz group and its q-deformation, the Quantum Lorentz Algebra. We propose a combinatorial model for the path integral...

Unlinked Embedded Graphs (2000)

Barrett, John W.

This paper is a self-contained development of an invariant of graphs embedded in three-dimensional Euclidean space using the Jones polynomial and skein theory. Some examples of the invariant are...

State Sum Models and Quantum Gravity (2000)

John W. Barrett, John W. Barrett

Abstract. This review gives a history of the construction of quantum field theory on four-dimensional spacetime using combinatorial techniques, and recent developments of the theory towards a...

On Fully Practical Finite Element Approximations of Degenerate Cahn-Hilliard Systems (2000)

John W. Barrett, James F. Blowey, Harald Garcke

this paper to develop and analyse a nite element approximation of the Cahn-Hilliard system with a degenerate mobility matrix. The Cahn-Hilliard system models phase separation and coarsening phenomena...

State sum models for quantum gravity (2000)

Barrett, John W.

This paper reviews the construction of quantum field theory on a 4-dimensional spacetime by combinatorial methods, and discusses the recent developments in the direction of a combinatorial...

A Lorentzian Signature Model for Quantum General Relativity (2000)

Barrett, John W., Crane, Louis

We give a relativistic spin network model for quantum gravity based on the Lorentz group and its q-deformation, the Quantum Lorentz Algebra. We propose a combinatorial model for the path integral...

Unlinked Embedded Graphs (2000)

Barrett, John W.

This paper is a self-contained development of an invariant of graphs embedded in three-dimensional Euclidean space using the Jones polynomial and skein theory. Some examples of the invariant are...

A Lorentzian Signature Model for Quantum General Relativity (1999)

Barrett, John W., Crane, Louis

We give a relativistic spin network model for quantum gravity based on the Lorentz group and its q-deformation, the Quantum Lorentz Algebra. We propose a combinatorial model for the path integral...

The Quantum Tetrahedron in 3 and 4 Dimensions (1999)

Baez, John C., Barrett, John W.

Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in the `quantum tetrahedron'. Starting with a classical phase space whose points correspond to geometries...

The Quantum Tetrahedron in 3 and 4 Dimensions (1999)

Baez, John C., Barrett, John W.

Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in the `quantum tetrahedron'. Starting with a classical phase space whose points correspond to geometries...

The asymptotics of an amplitude for the 4-simplex (1999)

Barrett, John W., Williams, Ruth M.

An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional...

The Quantum Tetrahedron in 3 and 4 Dimensions (1999)

Baez, John C., Barrett, John W.

Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in the `quantum tetrahedron'. Starting with a classical phase space whose points correspond to geometries...

The asymptotics of an amplitude for the 4-simplex (1999)

Barrett, John W., Williams, Ruth M.

An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional...

Finite element approximation of the Cahn-Hilliard equation with degenerate mobility (1999)

John W. Barrett, F. Blowey

Abstract. We consider the Cahn-Hilliard equation with a logarithmic free energy and non-degenerate concentration dependent mobility. In particular we prove that there exists a unique solution for...

The asymptotics of an amplitude for the 4-simplex (1999)

John W. Barrett, Ruth M Williams

Abstract. An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each...

The Quantum Tetrahedron in 3 and 4 Dimensions (1999)

John C. Baez, John W. Barrett

Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in the `quantum tetrahedron'. Starting with a classical phase space whose points correspond to...

The Quantum Tetrahedron in 3 and 4 Dimensions (1999)

Baez, John C., Barrett, John W.

Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in the `quantum tetrahedron'. Starting with a classical phase space whose points correspond to geometries...

The asymptotics of an amplitude for the 4-simplex (1999)

Barrett, John W., Williams, Ruth M.

An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional...

Long-Baseline Astrometric Interferometers. (1998)

Staelin, David H., Shao, Michael, Barrett, John W., Holm, Walter

A counter-jet in the radio galaxy Cygnus A is discovered. This follows the earlier achievement of the discovery of the relativistic jet that emanates from the active galactic nucleus (a discovery...

Phase-Coherent Astrometric Interferometry. (1998)

Staelin, David H., Shao, Michael, Barrett, John W., Hines, Braden E., Kim, Edward J.

This effort constituted the second stage in the development of the Mark III stellar interferometer, which is a fringe-tracking long-baseline Michelson interferometer designed primarily for wide angle...

The asymptotics of an amplitude for the 4-simplex (1998)

Barrett, John W., Williams, Ruth M.

An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional...

The classical evaluation of relativistic spin networks (1998)

Barrett, John W.

The evaluation of a relativistic spin network for the classical case of the Lie group SU(2) is given by an integral formula over copies of SU(2). For the graph determined by a 4-simplex this gives...

The classical evaluation of relativistic spin networks (1998)

Barrett, John W.

The evaluation of a relativistic spin network for the classical case of the Lie group SU(2) is given by an integral formula over copies of SU(2). For the graph determined by a 4-simplex this gives...

The classical evaluation of relativistic spin networks (1998)

Barrett, John W.

The evaluation of a relativistic spin network for the classical case of the Lie group SU(2) is given by an integral formula over copies of SU(2). For the graph determined by a 4-simplex this gives...

Finite Element Approximation of a Fourth Order Nonlinear Degenerate Parabolic Equation (1998)

John W. Barrett, James F. Blowey, Harald Garcke

We consider a fully practical finite element approximation of the fourth order nonlinear degenerate parabolic equation u t +r:( b(u) r\Deltau) = 0; where generically b(u) := juj p for any given p 2...

Relativistic Spin Networks and Quantum Gravity (1998)

John W. Barrett, Louis Crane

. Relativistic spin networks are defined by considering the spin covering of the group SO(4), SU(2) \Theta SU(2). Relativistic quantum spins are related to the geometry of the 2-dimensional faces of...

The classical evaluation of relativistic spin networks (1998)

Barrett, John W.

The evaluation of a relativistic spin network for the classical case of the Lie group SU(2) is given by an integral formula over copies of SU(2). For the graph determined by a 4-simplex this gives...

A note on area variables in Regge calculus (1997)

Barrett, John W., Rocek, Martin, Williams, Ruth M.

We consider the possibility of setting up a new version of Regge calculus in four dimensions with areas of triangles as the basic variables rather than the edge-lengths. The difficulties and...

Relativistic spin networks and quantum gravity (1997)

Barrett, John W., Crane, Louis

Relativistic spin networks are defined by considering the spin covering of the group SO(4), SU(2) times SU(2). Relativistic quantum spins are related to the geometry of the 2-dimensional faces of a...

Sources of symmetric potentials (1997)

Barrett, John W.

Laboratory experiments on gravitation are usually performed with objects of constant density, so that the analysis of the forces concerns only the geometry of their shape. In an ideal experiment, the...

An algebraic interpretation of the Wheeler-DeWitt equation (1996)

Barrett, John W., Crane, Louis

We make a direct connection between the construction of three dimensional topological state sums from tensor categories and three dimensional quantum gravity by noting that the discrete version of...

Finite Element Approximation of the Cahn-Hilliard Equation with Degenerate Mobility (1996)

John W. Barrett, James F. Blowey, Harald Garcke

We consider a fully practical finite element approximation of the Cahn-Hilliard equation with degenerate mobility @u @t = r:( b(u) r(\Gammafl \Deltau + \Psi 0 (u))); where b(\Delta) 0 is a...

Finite Element Approximation of the Cahn-Hilliard Equation with Concentration Dependent Mobility (1996)

John W. Barrett, James F. Blowey

We consider the Cahn-Hilliard equation with a logarithmic free energy and nondegenerate concentration dependent mobility. In particular we prove that there exists a unique solution for sufficiently...

An error bound for the finite element approximation of a model for phase separation of a multi-component alloy (1996)

BARRETT, JOHN W., BLOWEY, JAMES F.

An error bound is proved for a fully practical piecewise linear finite element approximation, using a backward-Euler time discretization, of a model for phase separation of a multi-component alloy....

Skein spaces and spin structures (1995)

Barrett, John W.

This paper relates skein spaces based on the Kauffman bracket and spin structures. A spin structure on an oriented 3-manifold provides an isomorphism between the skein space for parameter A and the...

Quantum Gravity as Topological Quantum Field Theory (1995)

Barrett, John W.

The physics of quantum gravity is discussed within the framework of topological quantum field theory. Some of the principles are illustrated with examples taken from theories in which space-time is...

An Error Bound for the Finite Element Approximation of the Cahn-Hilliard Equation with Logarithmic Free Energy (1995)

John W. Barrett, James F. Blowey

An error bound is proved for a fully practical piecewise linear finite element approximation, using a backward Euler time discretization, of the Cahn-Hilliard equation with a logarithmic free energy....

A Parallelizable Implicit Evolution Scheme for Regge Calculus (1994)

Barrett, John W., Galassi, Mark, Miller, Warner A., Sorkin, Rafael D., Tuckey, Philip A., Williams, Ruth M.

The role of Regge calculus as a tool for numerical relativity is discussed, and a parallelizable implicit evolution scheme described. Because of the structure of the Regge equations, it is possible...

The equality of 3-manifold invariants (1994)

Barrett, John W., Westbury, Bruce W.

The invariants of 3-manifolds defined by Kuperberg for involutory Hopf algebras and those defined by the authors for spherical Hopf algebras are the same for Hopf algebras on which they are both...

First order Regge calculus (1994)

Barrett, John W.

A first order form of Regge calculus is defined in the spirit of Palatini's action for general relativity. The extra independent variables are the interior dihedral angles of a simplex, with...

Quasi-norm error bounds for the finite element approximation of a non-Newtonian flow (1994)

John W. Barrett, W. B. Liu

error bounds We now prove an abstract error bound by applying Lemma 2.1 and Lemma 2.2. The key idea is to introduce a quasi-norm. Let (u; p) be the unique solution of (S). Then we define for any w 2...

Invariants of Piecewise-Linear 3-Manifolds (1993)

Barrett, John W., Westbury, Bruce W.

In this paper we develop a theory for constructing an invariant of closed oriented 3-manifolds, given a certain type of Hopf algebra. Examples are given by a quantised enveloping algebra of a...

Spherical Categories (1993)

Barrett, John W., Westbury, Bruce W.

This paper is a study of monoidal categories with duals where the tensor product need not be commutative. The motivating examples are categories of representations of Hopf algebras and the motivating...

Finite-Element Approximation of a Plasma Equilibrium Problem (1989)

BARRETT, JOHN W.

The plasma problem studied is: given γ ϵ R+ find (λ, d, u) ϵ R � R � H1(Ω) such that $$-\Delta u=\lambda {\left[u\right]}^{+}=\{$$ in $$\Omega \subset {R}^{2}$$ $$u=-d\hbox{ on...

Finite-Element Approximation of Elliptic Equations with a Neumann or Robin Condition on a Curved Boundary (1988)

BARRETT, JOHN W., ELLIOTT, CHARLES M.

This paper considers a finite-element approximation of a second-order self adjoint elliptic equation in a region Ω⊂Rn (with n=2 or 3) having a curved boundary ∂Ω on which a Neumann or Robin...

Total Flux Estimates for a Finite-Element Approximation of Elliptic Equations (1987)

BARRETT, JOHN W., ELLIOTT, CHARLES M.

An elliptic boundary-value problem on a domain Ω with prescribed Dirichlet data on ΓI ⊆∂Ω is approximated using a finite-element space of approximation power hK in the L2 norm. It is shown...

Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces (1987)

BARRETT, JOHN W., ELLIOTT, CHARLES M.

This paper considers the finite-element approximation of the elliptic interface problem: -▽�(σ▽u) + cu = f in Ω ⊂ Rn (n = 2 or 3), with u = 0 on ∂Ω, where σ is discontinuous...

Total Flux Estimates for a Finite-Element Approximation of Parabolic Equations (1986)

BARRETT, JOHN W., ELLIOTT, CHARLES M.

An initial-boundary-value problem for a parabolic equation in a domain Ω × (0, T) with prescribed Dirichlet data on δΩ is approximated using a continuous-time Galerkin finite-element...

Finite Element Approximation of Surfactant Spreading on a Thin Film (0000)

Barrett, John W.

We consider a fully practical finite element approximation of the following system of nonlinear degenerate parabolic equations: begin{alignat}{2} textstyle{frac{partial u}{partial t}} + textstyle...

Studies of the Nucleopolyhedrovirus Infection Process in Insects by Using the Green Fluorescence Protein as a Reporter

Barrett, John W., Brownwright, Andy J., Primavera, Mark J., Palli, Subba Reddy

A recombinant Autographa californica multicapsid nucleopolyhedrovirus (AcMNPV) expressing the green fluorescence protein (GFP) under the control of the AcMNPV polyhedrin promoter was constructed to...

A secreted high-affinity inhibitor of human TNF from Tanapox virus

Brunetti, Craig R., Paulose-Murphy, Mini, Singh, Rajkumari, Qin, Jing, Barrett, John W., Tardivel, Aubry, ...

A class of secreted poxvirus tumor necrosis factor (TNF)-binding proteins has been isolated from Tanapox-infected cell supernatants. The inhibitor bound to a TNF-affinity column and was identified as...

Role of the Serine-Threonine Kinase PAK-1 in Myxoma Virus Replication

Johnston, J. B., Barrett, John W., Chang, Wen, Chung, Che-Sheng, Zeng, Wei, Masters, Jennefer, ...

Subversion or appropriation of cellular signal transduction pathways is a common strategy employed by viruses to promote an environment within infected cells that supports the viral replicative...

Complete Genomic Sequence and Comparative Analysis of the Tumorigenic Poxvirus Yaba Monkey Tumor Virus

Brunetti, Craig R., Amano, Hiroko, Ueda, Yoshiaki, Qin, Jing, Miyamura, Tatsuo, Suzuki, Tetsuro, ...

The Yatapoxvirus genus of poxviruses is comprised of Yaba monkey tumor virus (YMTV), Tanapox virus, and Yaba-like disease virus (YLDV), which all have the ability to infect primates, including...

Myxoma Virus M11L Prevents Apoptosis through Constitutive Interaction with Bak

Wang, Gen, Barrett, John W., Nazarian, Steven H., Everett, Helen, Gao, Xiujuan, Bleackley, Chris, ...

M11L, a 166-amino-acid antiapoptotic protein of myxoma virus, was previously shown to bind to the peripheral benzodiazepine receptor by hydrophobic interactions at the outer mitochondrial membrane....

Myxoma Virus M141R Expresses a Viral CD200 (vOX-2) That Is Responsible for Down-Regulation of Macrophage and T-Cell Activation In Vivo

Cameron, Cheryl M., Barrett, John W., Liu, Liying, Lucas, Alexandra R., McFadden, Grant

M141R is a myxoma virus gene that encodes a cell surface protein with significant amino acid similarity to the family of cellular CD200 (OX-2) proteins implicated in the regulation of myeloid lineage...

Myxoma Virus M11L Blocks Apoptosis through Inhibition of Conformational Activation of Bax at the Mitochondria

Su, Jin, Wang, Gen, Barrett, John W., Irvine, Timothy S., Gao, Xiujuan, McFadden, Grant

Many viruses inhibit or retard apoptosis, a strategy that subverts one of the most ancient antiviral mechanisms. M11L, a myxoma virus-encoded antiapoptotic protein, has been previously shown to...

Infection of human cancer cells with myxoma virus requires Akt activation via interaction with a viral ankyrin-repeat host range factor

Wang, Gen, Barrett, John W., Stanford, Marianne, Werden, Steven J., Johnston, James B., Gao, Xiujuan, ...

We demonstrate that the susceptibility of human cancer cells to be infected and killed by an oncolytic poxvirus, myxoma virus (MV), is related to the basal level of endogenous phosphorylated Akt. We...

Studies of the Nucleopolyhedrovirus Infection Process in Insects by Using the Green Fluorescence Protein as a Reporter

Barrett, John W., Brownwright, Andy J., Primavera, Mark J., Palli, Subba Reddy

A recombinant Autographa californica multicapsid nucleopolyhedrovirus (AcMNPV) expressing the green fluorescence protein (GFP) under the control of the AcMNPV polyhedrin promoter was constructed to...

A secreted high-affinity inhibitor of human TNF from Tanapox virus

Brunetti, Craig R., Paulose-Murphy, Mini, Singh, Rajkumari, Qin, Jing, Barrett, John W., Tardivel, Aubry, ...

A class of secreted poxvirus tumor necrosis factor (TNF)-binding proteins has been isolated from Tanapox-infected cell supernatants. The inhibitor bound to a TNF-affinity column and was identified as...

Role of the Serine-Threonine Kinase PAK-1 in Myxoma Virus Replication

Johnston, J. B., Barrett, John W., Chang, Wen, Chung, Che-Sheng, Zeng, Wei, Masters, Jennefer, ...

Subversion or appropriation of cellular signal transduction pathways is a common strategy employed by viruses to promote an environment within infected cells that supports the viral replicative...

Complete Genomic Sequence and Comparative Analysis of the Tumorigenic Poxvirus Yaba Monkey Tumor Virus

Brunetti, Craig R., Amano, Hiroko, Ueda, Yoshiaki, Qin, Jing, Miyamura, Tatsuo, Suzuki, Tetsuro, ...

The Yatapoxvirus genus of poxviruses is comprised of Yaba monkey tumor virus (YMTV), Tanapox virus, and Yaba-like disease virus (YLDV), which all have the ability to infect primates, including...

Myxoma Virus M11L Prevents Apoptosis through Constitutive Interaction with Bak

Wang, Gen, Barrett, John W., Nazarian, Steven H., Everett, Helen, Gao, Xiujuan, Bleackley, Chris, ...

M11L, a 166-amino-acid antiapoptotic protein of myxoma virus, was previously shown to bind to the peripheral benzodiazepine receptor by hydrophobic interactions at the outer mitochondrial membrane....

Myxoma Virus M141R Expresses a Viral CD200 (vOX-2) That Is Responsible for Down-Regulation of Macrophage and T-Cell Activation In Vivo

Cameron, Cheryl M., Barrett, John W., Liu, Liying, Lucas, Alexandra R., McFadden, Grant

M141R is a myxoma virus gene that encodes a cell surface protein with significant amino acid similarity to the family of cellular CD200 (OX-2) proteins implicated in the regulation of myeloid lineage...

Myxoma Virus M11L Blocks Apoptosis through Inhibition of Conformational Activation of Bax at the Mitochondria

Su, Jin, Wang, Gen, Barrett, John W., Irvine, Timothy S., Gao, Xiujuan, McFadden, Grant

Many viruses inhibit or retard apoptosis, a strategy that subverts one of the most ancient antiviral mechanisms. M11L, a myxoma virus-encoded antiapoptotic protein, has been previously shown to...

Infection of human cancer cells with myxoma virus requires Akt activation via interaction with a viral ankyrin-repeat host range factor

Wang, Gen, Barrett, John W., Stanford, Marianne, Werden, Steven J., Johnston, James B., Gao, Xiujuan, ...

We demonstrate that the susceptibility of human cancer cells to be infected and killed by an oncolytic poxvirus, myxoma virus (MV), is related to the basal level of endogenous phosphorylated Akt. We...

Poxvirus Tumor Necrosis Factor Receptor (TNFR)-Like T2 Proteins Contain a Conserved Preligand Assembly Domain That Inhibits Cellular TNFR1-Induced Cell Death

Sedger, Lisa M., Osvath, Sarah R., Xu, Xiao-Ming, Li, Grace, Chan, Francis K.-M., Barrett, John W., ...

The poxvirus tumor necrosis factor receptor (TNFR) homologue T2 has immunomodulatory properties; secreted myxoma virus T2 (M-T2) protein binds and inhibits rabbit TNF-α, while intracellular M-T2...

M135R Is a Novel Cell Surface Virulence Factor of Myxoma Virus▿

Barrett, John W., Sypula, Joanna, Wang, Fuan, Alston, Lindsay R., Shao, Zhuhong, Gao, Xiujuan, ...

Myxoma virus (MV) encodes a cell surface protein (M135R) that is predicted to mimic the host alpha/beta interferon receptor (IFN-α/β-R) and thus prevent IFN-α/β from triggering a host antiviral...

Oncolytic Virotherapy Synergism with Signaling Inhibitors: Rapamycin Increases Myxoma Virus Tropism for Human Tumor Cells▿

Stanford, Marianne M., Barrett, John W., Nazarian, Steven H., Werden, Steven, McFadden, Grant

Myxoma virus is a rabbit-specific poxvirus pathogen that also exhibits a unique tropism for human tumor cells and is dramatically oncolytic for human cancer xenografts. Most tumor cell lines tested...

M-T5, the Ankyrin Repeat, Host Range Protein of Myxoma Virus, Activates Akt and Can Be Functionally Replaced by Cellular PIKE-A▿

Werden, Steven J., Barrett, John W., Wang, Gen, Stanford, Marianne M., McFadden, Grant

The myxoma virus (MV) ankyrin repeat, host range factor M-T5 has the ability to bind and activate cellular Akt, leading to permissive MV replication in a variety of diverse human cancer cell lines...

Myxoma Virus Expressing Human Interleukin-12 Does Not Induce Myxomatosis in European Rabbits▿

Stanford, Marianne M., Barrett, John W., Gilbert, Philippe-Alexandre, Bankert, Richard, McFadden, Grant

Myxoma virus (MV) is a candidate for oncolytic virotherapy due to its ability to selectively infect and kill tumor cells, yet MV is a species-specific pathogen that causes disease only in European...

Finite Element Approximation of Surfactant Spreading on a Thin Film

Barrett, John W.

We consider a fully practical finite element approximation of the following system of nonlinear degenerate parabolic equations: \begin{alignat}{2} \textstyle{\frac{\partial u}{\partial t}} +...

Yaba Monkey Tumor Virus Encodes a Functional Inhibitor of Interleukin-18▿

Nazarian, Steven H., Rahman, Masmudur M., Werden, Steven J., Villeneuve, Danielle, Meng, Xiangzhi, Brunetti, Craig, ...

Interleukin-18 (IL-18) is a critical proinflammatory cytokine whose extracellular bioactivity is regulated by a cellular IL-18 binding protein (IL-18BP). Many poxviruses have acquired variants of...

RIG-I Mediates the Co-Induction of Tumor Necrosis Factor and Type I Interferon Elicited by Myxoma Virus in Primary Human Macrophages

Wang, Fuan, Gao, Xiujuan, Barrett, John W., Shao, Qing, Bartee, Eric, Mohamed, Mohamed R., ...

The sensing of pathogen infection and subsequent triggering of innate immunity are key to controlling zoonotic infections. Myxoma virus (MV) is a cytoplasmic DNA poxvirus that in nature infects only...

An Improved Error Bound for a Finite Element Approximation of a Model for Phase Separation of a Multi-Component Alloy with a Concentration Dependent Mobility Matrix

John W. Barrett, James F. Blowey

this paper we consider only the case of a non-degenerate mobility matrix L; that is, L min (i) in (1.3b) satisfies the assumption in (D) above. Elliott and Garcke (1997) have proved existence of a...