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An analogue of the field-of-norms functor and of the Grothendieck Conjecture (2007)
Journal Article
Abrashkin, V. (2007). An analogue of the field-of-norms functor and of the Grothendieck Conjecture. Journal of Algebraic Geometry, 16(4), 671-730. https://doi.org/10.1090/s1056-3911-07-00470-5

The paper contains a construction of an analogue of the Fontaine-Wintenberger field-of-norms functor for higher-dimensional local fields. This construction is done completely in terms of the ramification theory of such fields. It is applied to deduce... Read More about An analogue of the field-of-norms functor and of the Grothendieck Conjecture.

Peripherally Specified Homomorphs of Link Groups (2007)
Journal Article
Kurlin, V., & Lines, D. (2007). Peripherally Specified Homomorphs of Link Groups. Journal of Knot Theory and Its Ramifications, 16(6), 719-740. https://doi.org/10.1142/s0218216507005440

Johnson and Livingston have characterized peripheral structures in homomorphs of knot groups. We extend their approach to the case of links. The main result is an algebraic characterization of all possible peripheral structures in certain homomorphic... Read More about Peripherally Specified Homomorphs of Link Groups.

Removing Shape-Preserving Transformations in Square-Root Elastic (SRE) Framework for Shape Analysis of Curves (2007)
Presentation / Conference Contribution
Joshi, S., Klassen, E., Srivastava, A., & Jermyn, I. (2007, August). Removing Shape-Preserving Transformations in Square-Root Elastic (SRE) Framework for Shape Analysis of Curves. Presented at 6th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, Ezhou

This paper illustrates and extends an efficient framework, called the square-root-elastic (SRE) framework, for studying shapes of closed curves, that was first introduced in [2]. This framework combines the strengths of two important ideas - elastic... Read More about Removing Shape-Preserving Transformations in Square-Root Elastic (SRE) Framework for Shape Analysis of Curves.

A New Phase Field Model of a `Gas of Circles' for Tree Crown Extraction from Aerial Images (2007)
Presentation / Conference Contribution
Horváth, P., & Jermyn, I. (2007, August). A New Phase Field Model of a `Gas of Circles' for Tree Crown Extraction from Aerial Images. Presented at 12th International Conference(CAIP 2007), Vienna

We describe a model for tree crown extraction from aerial images, a problem of great practical importance for the forestry industry. The novelty lies in the prior model of the region occupied by tree crowns in the image, which is a phase field versio... Read More about A New Phase Field Model of a `Gas of Circles' for Tree Crown Extraction from Aerial Images.

A comparative study of nonparametric derivative estimators. (2007)
Presentation / Conference Contribution
Newell, J., & Einbeck, J. (2007, July). A comparative study of nonparametric derivative estimators. Presented at 22nd International Workshop on Statistical Modelling., Barcelona, Spain

Nonparametric derivative estimation has never attracted much attention as one gets the derivative estimates as ``by-products'' from a local polynomial or spline fit. However, these estimates often suffer from boundary effects and are very sensitive t... Read More about A comparative study of nonparametric derivative estimators..

Smoothing, Sampling, and Basu's elephants (2007)
Presentation / Conference Contribution
Einbeck, J., Augustin, T., & Singer, J. M. (2007, July). Smoothing, Sampling, and Basu's elephants. Presented at 22nd International Workshop on Statistical Modelling., Barcelona, Spain

We investigate design-weighted local smoothing and show that the optimal (bias-minimizing) weights have similar form and interpretation as the optimal weights given by the Horvitz-Thompson theorem known from sampling theory. We set forth that the haz... Read More about Smoothing, Sampling, and Basu's elephants.

Finite approximations to coherent choice. (2007)
Presentation / Conference Contribution
Troffaes, M. C. (2007, July). Finite approximations to coherent choice. Presented at Fifth International Symposium on Imprecise Probability: Theories and Applications., Prague, Czech Republic

A covariant holographic entanglement entropy proposal (2007)
Journal Article
Hubeny, V., Rangamani, M., & Takayanagi, T. (2007). A covariant holographic entanglement entropy proposal. Journal of High Energy Physics, 2007(07), https://doi.org/10.1088/1126-6708/2007/07/062

With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001. Apart from providing several ex... Read More about A covariant holographic entanglement entropy proposal.

Geodesic Flow on Global Holomorphic Sections of TS^2 (2007)
Journal Article
Klingenberg, W., & Guilfoyle, B. (2007). Geodesic Flow on Global Holomorphic Sections of TS^2. Bulletin of the Belgian Mathematical Society Simon Stevin (Printed), 14(2), 363-371

We study the geodesic flow on the global holomorphic sections of the bundle π:TS2→S2π:TS2→S2 induced by the neutral Kähler metric on the space of oriented lines of R3R3, which we identify with TS2TS2. This flow is shown to be completely integrable wh... Read More about Geodesic Flow on Global Holomorphic Sections of TS^2.