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Classically integrable field theories with defects. (2004)
Journal Article
Bowcock, P., Corrigan, E., & Zambon, C. (2004). Classically integrable field theories with defects. International Journal of Modern Physics A, 19(supp02), 82-91. https://doi.org/10.1142/s0217751x04020324

Some ideas and remarks are presented concerning a possible Lagrangian approach to the study of internal boundary conditions relating integrable fields at the junction of two domains. The main example given in the article concerns single real scalar f... Read More about Classically integrable field theories with defects..

Texture Analysis Using Probabilistic Models of the Unimodal and Multimodal Statistics of Adaptive Wavelet Packet Coefficients (2004)
Presentation / Conference Contribution
Cossu, R., Jermyn, I., & Zerubia, J. (2004, May). Texture Analysis Using Probabilistic Models of the Unimodal and Multimodal Statistics of Adaptive Wavelet Packet Coefficients. Presented at 2004 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Montreal, Canada

Although subband histograms of the wavelet coefficients of natural images possess a characteristic leptokurtotic form, this is no longer true for wavelet packet bases adapted to a given texture. Instead, three types of subband statistics are observed... Read More about Texture Analysis Using Probabilistic Models of the Unimodal and Multimodal Statistics of Adaptive Wavelet Packet Coefficients.

Integrated density of states for random metrics on manifolds (2004)
Journal Article
Lenz, D., Peyerimhoff, N., & Veselic, I. (2004). Integrated density of states for random metrics on manifolds. Proceedings of the London Mathematical Society, 88(3), 733-752. https://doi.org/10.1112/s0024611503014576

This paper carries over the fundamental properties of random Schroedinger operators to random Laplace-Beltrami operators, that is, Laplacians with random metrics. Namely, we (A) discuss a framework for ergodic, random operators on covering manifolds... Read More about Integrated density of states for random metrics on manifolds.

A note on string interaction on the pp-wave background (2004)
Journal Article
Chu, C., Khoze, V., Petrini, M., Russo, R., & Tanzini, A. (2004). A note on string interaction on the pp-wave background. Classical and Quantum Gravity, 21(8), 1999-2009. https://doi.org/10.1088/0264-9381/21/8/006

We consider type IIB string interaction on the maximally supersymmetric pp-wave background and discuss how the bosonic symmetries of the background are realized. This analysis shows that there are some interesting differences with respect to the flat... Read More about A note on string interaction on the pp-wave background.

Solving the functional Schrödinger equation: Yang-Mills string tension and surface critical scaling (2004)
Journal Article
Mansfield, P. (2004). Solving the functional Schrödinger equation: Yang-Mills string tension and surface critical scaling. Journal of High Energy Physics, 2004(04), https://doi.org/10.1088/1126-6708/2004/04/059

Motivated by a heuristic model of the Yang-Mills vacuum that accurately describes the string-tension in three dimensions we develop a systematic method for solving the functional Schrödinger equation in a derivative expansion. This is applied to the... Read More about Solving the functional Schrödinger equation: Yang-Mills string tension and surface critical scaling.

A Simple Unifying Formula for Taylor's Theorem and Cauchy's Mean Value Theorem (2004)
Journal Article
Einbeck, J. (2004). A Simple Unifying Formula for Taylor's Theorem and Cauchy's Mean Value Theorem. International Journal of Pure and Applied Mathematics, 14(1), 69-74

We introduce a formula which generalizes Taylor's theorem from powers of linear terms z-x to functional terms \phi(z)-\phi(x), leading to a formula which reduces in a special case to Cauchy's generalized mean value theorem. In other words, regarding... Read More about A Simple Unifying Formula for Taylor's Theorem and Cauchy's Mean Value Theorem.

Notes on space-time thermodynamics and the observer-dependence of entropy (2004)
Journal Article
Marolf, D., Minic, D., & Ross, S. F. (2004). Notes on space-time thermodynamics and the observer-dependence of entropy. Physical Review D, Particles and fields, 69(6), https://doi.org/10.1103/physrevd.69.064006

Because of the Unruh effect, accelerated and inertial observers differ in their description of a given quantum state. The implications of this effect are explored for the entropy assigned by such observers to localized objects that may cross the asso... Read More about Notes on space-time thermodynamics and the observer-dependence of entropy.

Generators and Relations for K_2 O_F (2004)
Journal Article
Belabas, K., & Gangl, H. (2004). Generators and Relations for K_2 O_F. K-Theory, 31(3), 195 - 231. https://doi.org/10.1023/b%3Akthe.0000028979.91416.00

Tate's algorithm for computing K_2 O_F for rings of integers in a number field has been adapted for the computer and gives explicit generators for the group and sharp bounds on their order---the latter, together with some structural results on the p-... Read More about Generators and Relations for K_2 O_F.