Outputs (120)

Primes generated by recurrence sequences (2007)
Journal Article
Everest, G., Stevens, S., Tamsett, D., & Ward, T. (2007). Primes generated by recurrence sequences. The American Mathematical Monthly, 114(5), 417-431

Self-trapped electron states in carbon nanotubes (2007)
Journal Article
Bratek, L., Brizhik, L., Eremko, A., Piette, B., Watson, M., & Zakrzewski, W. (2007). Self-trapped electron states in carbon nanotubes. Physica D: Nonlinear Phenomena, 228(2), 130-139. https://doi.org/10.1016/j.physd.2007.02.013

We study numerically self-trapped (polaron) states of quasiparticles (electrons or holes) in a deformable nanotube formed by a hexagonal lattice, wrapped into a cylinder (carbon- and boron nitride-type nanotube structures). We present a Hamiltonian f... Read More about Self-trapped electron states in carbon nanotubes.

Algebraicity of L-values for elliptic curves in a false Tate curve tower (2007)
Journal Article
Bouganis, A., & Dokchitser, V. (2007). Algebraicity of L-values for elliptic curves in a false Tate curve tower. Mathematical Proceedings of the Cambridge Philosophical Society, 142(2), 193-204. https://doi.org/10.1017/s030500410600987x

Let E be an elliptic curve over , and τ an Artin representation over that factors through the non-abelian extension , where p is an odd prime and n, m are positive integers. We show that L(E,τ,1), the special value at s=1 of the L-function of the twi... Read More about Algebraicity of L-values for elliptic curves in a false Tate curve tower.

The Zamolodchikov-Faddeev algebra for AdS(5) x S**5 superstring (2007)
Journal Article
Arutyunov, G., Frolov, S., & Zamaklar, M. (2007). The Zamolodchikov-Faddeev algebra for AdS(5) x S**5 superstring. Journal of High Energy Physics, 2007(04), https://doi.org/10.1088/1126-6708/2007/04/002

We discuss the Zamolodchikov-Faddeev algebra for the superstring sigma-model on AdS(5) x S-5. We find the canonical su(2 vertical bar 2)(2) invariant S-matrix satisfying the standard Yang-Baxter and crossing symmetry equations. Its near-plane-wave ex... Read More about The Zamolodchikov-Faddeev algebra for AdS(5) x S**5 superstring.

Probabilistic Inference for Future Climate Using an Ensemble of Climate Model Evaluations (2007)
Journal Article
Rougier, J. (2007). Probabilistic Inference for Future Climate Using an Ensemble of Climate Model Evaluations. Climatic Change, 81(3-4), 247-264. https://doi.org/10.1007/s10584-006-9156-9

This paper describes an approach to computing probabilistic assessments of future climate, using a climate model. It clarifies the nature of probability in this context, and illustrates the kinds of judgements that must be made in order for such a pr... Read More about Probabilistic Inference for Future Climate Using an Ensemble of Climate Model Evaluations.

A new package for fitting random effect models (2007)
Journal Article
Einbeck, J., Hinde, J., & Darnell, R. (2007). A new package for fitting random effect models. R news, 7(1), 26-30

Random effects have become a standard concept in statistical modelling over the last decades. They enter a wide range of applications by providing a simple tool to account for such problems as model misspecification, unobserved (latent) variables, un... Read More about A new package for fitting random effect models.

Urban Road Extraction from VHR Images Using a Multiscale Image Model and a Phase Field Model of Network Geometry (2007)
Presentation / Conference Contribution
Peng, T., Jermyn, I., Prinet, V., & Zerubia, J. (2007, April). Urban Road Extraction from VHR Images Using a Multiscale Image Model and a Phase Field Model of Network Geometry. Presented at 2007 Urban Remote Sensing Joint Event, Paris

This paper addresses the problem of automatically extracting the main road network in a dense urban area from a very high resolution optical satellite image using a variational approach. The model energy has two parts: a phase field higher-order acti... Read More about Urban Road Extraction from VHR Images Using a Multiscale Image Model and a Phase Field Model of Network Geometry.

Bayes Linear Statistics: Theory and Methods (2007)
Book
Goldstein, M., & Wooff, D. (2007). Bayes Linear Statistics: Theory and Methods. John Wiley and Sons

The text provides a thorough coverage of Bayes linear analysis, from the development of the basic language to the collection of algebraic results needed for efficient implementation, with detailed practical examples. The book covers: The importance o... Read More about Bayes Linear Statistics: Theory and Methods.

Exponential approximations for the primitive equations of the ocean (2007)
Journal Article
Temam, R. M., & Wirosoetisno, D. (2007). Exponential approximations for the primitive equations of the ocean. Discrete and Continuous Dynamical Systems - Series B, 7(2), 425-440. https://doi.org/10.3934/dcdsb.2007.7.425

We show that in the limit of small Rossby number \varepsilon, the primitive equations of the ocean (OPEs) can be approximated by "higher-order quasi-geostrophic equations'' up to an exponential accuracy in \varepsilon. This approximation assumes well... Read More about Exponential approximations for the primitive equations of the ocean.

Solving the anharmonic oscillator: Tuning the boundary condition. (2007)
Journal Article
Leonard, D., & Mansfield, P. (2007). Solving the anharmonic oscillator: Tuning the boundary condition. Journal of Physics A: Mathematical and Theoretical, 40(33),

We outline a remarkably efficient method for generating solutions to quantum anharmonic oscillators with an x2M potential. We solve the Schroedinger equation in terms of a free parameter which is then tuned to give the correct boundary condition by g... Read More about Solving the anharmonic oscillator: Tuning the boundary condition..