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The deviation matrix of a continuous-time Markov chain (2002)
Journal Article
Coolen-Schrijner, P., & Van Doorn, E. (2002). The deviation matrix of a continuous-time Markov chain. Probability in the Engineering and Informational Sciences, 16(3), 351-366. https://doi.org/10.1017/s0269964802163066

The deviation matrix of an ergodic, continuous-time Markov chain with transition probability matrix P(·) and ergodic matrix [Pi] is the matrix D [identical with] [integral operator]0[infty infinity](P(t) [minus sign] [Pi]) dt. We give conditions for... Read More about The deviation matrix of a continuous-time Markov chain.

Dynamical generation of scalar mesons (2002)
Journal Article
Boglione, M., & Pennington, M. (2002). Dynamical generation of scalar mesons. Physical Review D, Particles and fields, 65, https://doi.org/10.1103/physrevd.65.114010

Starting with just one bare seed for each member of a scalar nonet, we investigate when it is possible to generate more than one hadronic state for each set of quantum numbers. In the framework of a simple model, we find that in the I=1 sector it is... Read More about Dynamical generation of scalar mesons.

Hermitian Analyticity, IR/UV Mixing and Unitarity of Noncommutative Field Theories (2002)
Journal Article
Chu, C., Lukierski, J., & Zakrzewski, W. (2002). Hermitian Analyticity, IR/UV Mixing and Unitarity of Noncommutative Field Theories. Nuclear Physics B, 632(1-3), 219-239. https://doi.org/10.1016/s0550-3213%2802%2900216-x

The IR/UV mixing and the violation of unitarity are two of the most intriguing aspects of noncommutative quantum field theories. In this paper the relation between these two phenomena is explained and established in an explicit form. We start out by... Read More about Hermitian Analyticity, IR/UV Mixing and Unitarity of Noncommutative Field Theories.

Three-point functions in N = 4 Yang-Mills theory and pp-waves (2002)
Journal Article
Chu, C., Khoze, V., & Travaglini, G. (2002). Three-point functions in N = 4 Yang-Mills theory and pp-waves. Journal of High Energy Physics, 2002(06), https://doi.org/10.1088/1126-6708/2002/06/011

Recently it has been proposed that the coefficient of the three-point function of the BMN operators in = 4 supersymmetric Yang-Mills theory is related to the three-string interactions in the pp-wave background. We calculate three-point functions of t... Read More about Three-point functions in N = 4 Yang-Mills theory and pp-waves.

Bayesian Graphical Models for Software Testing (2002)
Journal Article
Wooff, D., Goldstein, M., & Coolen, F. (2002). Bayesian Graphical Models for Software Testing. IEEE Transactions on Software Engineering, 28(5), 510-525. https://doi.org/10.1109/tse.2002.1000453

This paper describes a new approach to the problem of software testing. The approach is based on Bayesian graphical models and presents formal mechanisms for the logical structuring of the software testing problem, the probabilistic and statistical t... Read More about Bayesian Graphical Models for Software Testing.

The Geometry of Point Particles (2002)
Journal Article
Atiyah, M., & Sutcliffe, P. (2002). The Geometry of Point Particles. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 458(2021), 1089-1115. https://doi.org/10.1098/rspa.2001.0913

There is a very natural map from the configuration space of n distinct points in Euclidean 3-space into the flag manifold U(n)/U(1)n, which is compatible with the action of the symmetric group. The map is well defined for all configurations of points... Read More about The Geometry of Point Particles.

Strings from quivers, membranes from moose (2002)
Journal Article
Mukhi, S., Rangamani, M., & Verlinde, E. P. (2002). Strings from quivers, membranes from moose. Journal of High Energy Physics, 2002(05), https://doi.org/10.1088/1126-6708/2002/05/023

We consider = 2 moose/quiver gauge theories corresponding to N1 D3-branes at a 2/N2 singularity in the ``large moose'' limit where N1 and N2 are scaled to infinity together. In the dual holographic description, this scaling gives rise to a maximally... Read More about Strings from quivers, membranes from moose.

NNLO global parton analysis (2002)
Journal Article
Martin, A., Roberts, R., Stirling, W., & Thorne, R. (2002). NNLO global parton analysis. Physics Letters B, 531(3-4), 216-224. https://doi.org/10.1016/s0370-2693%2802%2901483-1

We perform a NNLO (and a LO) global parton analysis in which we include the new precise data for deep inelastic scattering from HERA and for inclusive jet production at the Tevatron, together with the improved knowledge of the three-loop splitting fu... Read More about NNLO global parton analysis.

Chromatic characteristic classes in ordinary group cohomology (2002)
Journal Article
Green, D., Hunton, J., & Schuster, B. (2003). Chromatic characteristic classes in ordinary group cohomology. Topology (Oxford), 42(1), 243-263. https://doi.org/10.1016/s0040-9383%2802%2900011-3

We study a family of subrings, indexed by the natural numbers, of the mod p cohomology of a finite group G. These subrings are based on a family of vn-periodic complex oriented cohomology theories and are constructed as rings of generalised character... Read More about Chromatic characteristic classes in ordinary group cohomology.

Cycles in hyperbolic manifolds of non-compact type and Fourier coefficients of Siegel modular forms (2002)
Journal Article
Funke, J., & Millson, J. (2002). Cycles in hyperbolic manifolds of non-compact type and Fourier coefficients of Siegel modular forms. manuscripta mathematica, 107(4), 409-449. https://doi.org/10.1007/s002290100241

Using the theta correspondence, we study a lift from (not necessarily rapidly decreasing) closed differential (p−n)-forms on a non-compact arithmetic quotient of hyperbolic p-space to Siegel modular forms of degree n. This generalizes earlier work of... Read More about Cycles in hyperbolic manifolds of non-compact type and Fourier coefficients of Siegel modular forms.

Integrated density of states for ergodic random Schrödinger operators on manifolds (2002)
Journal Article
Peyerimhoff, N., & Veselić, I. (2002). Integrated density of states for ergodic random Schrödinger operators on manifolds. Geometriae Dedicata, 91(1), 117-135. https://doi.org/10.1023/a%3A1016222913877

We consider the Riemannian universal covering of a compact manifold M = X/Γ and assume that Γ is amenable. We show the existence of a (nonrandom) integrated density of states for an ergodic random family of Schrödinger operators on X.

MRST2001: partons and α <SUB>S</SUB> from precise deep inelastic scattering and Tevatron jet data (2002)
Journal Article
Martin, A., Roberts, R., Stirling, W., & Thorne, R. (2002). MRST2001: partons and α S from precise deep inelastic scattering and Tevatron jet data. The European Physical Journal C, 23(1), 73-87. https://doi.org/10.1007/s100520100842

We use all the available new precise data for deep inelastic and related hard scattering processes to perform NLO global parton analyses. These new data allow an improved determination of partons and, in particular, the inclusion of the recent measur... Read More about MRST2001: partons and α <SUB>S</SUB> from precise deep inelastic scattering and Tevatron jet data.

Prospects for new physics observations in diffractive processes at the LHC and Tevatron (2002)
Journal Article
Khoze, V., Martin, A., & Ryskin, M. (2002). Prospects for new physics observations in diffractive processes at the LHC and Tevatron. The European Physical Journal C, 23(2), 311-327. https://doi.org/10.1007/s100520100884

We study the double-diffractive production of various heavy systems (e.g. Higgs, dijet, t {t} and SUSY particles) at LHC and Tevatron collider energies. In each case we compute the probability that the rapidity gaps, which occur on either side of the... Read More about Prospects for new physics observations in diffractive processes at the LHC and Tevatron.

Stability of sigma-model strings and textures. (2002)
Journal Article
Ward, R. (2002). Stability of sigma-model strings and textures. Classical and Quantum Gravity, 19(4), L17-L22. https://doi.org/10.1088/0264-9381/19/4/101

In flat spacetime, sigma-model strings and textures are both unstable: they tend to collapse (and subsequently decay). With sufficient cosmological expansion, however, they are stable in a generalized sense: a small perturbation will cause them to ch... Read More about Stability of sigma-model strings and textures..