Outputs (106)

Positive recurrence of processes associated to crystal growth models (2006)
Journal Article
Andjel, A., Menshikov, M., & Sisko, V. (2006). Positive recurrence of processes associated to crystal growth models. Annals of Applied Probability, 16(3), 1059-1085. https://doi.org/10.1214/105051606000000079

We show that certain Markov jump processes associated to crystal growth models are positive recurrent when the parameters satisfy a rather natural condition.

Reflection in a translation invariant surface (2006)
Journal Article
surface. Mathematical Physics, Analysis and Geometry, 9(3), 225-231. https://doi.org/10.1007/s11040-007-9013-8

We prove that the focal set generated by the reflection of a point source off a translation invariant surface consists of two sets: a curve and a surface. The focal curve lies in the plane orthogonal to the symmetry direction containing the source, w... Read More about Reflection in a translation invariant surface.

A higher-order active contour model for tree detection (2006)
Presentation / Conference Contribution
Horvath, P., Jermyn, I., Kato, Z., & Zerubia, J. (2006, August). A higher-order active contour model for tree detection. Presented at 18th International Conference on Pattern Recognition (ICPR'06), Hong Kong

We present a model of a `gas of circles', the ensemble of regions in the image domain consisting of an unknown number of circles with approximately fixed radius and short range repulsive interactions, and apply it to the extraction of tree crowns fro... Read More about A higher-order active contour model for tree detection.

Modelling beyond regression functions: An application of multimodal regression to speed-flow data (2006)
Journal Article
Einbeck, J., & Tutz, G. (2006). Modelling beyond regression functions: An application of multimodal regression to speed-flow data. Journal of the Royal Statistical Society: Series C, 55(4), 461-475. https://doi.org/10.1111/j.1467-9876.2006.00547.x

For speed–flow data, which are intensively discussed in transportation science, common nonparametric regression models of the type y=m(x)+noise turn out to be inadequate since simple functional models cannot capture the essential relationship between... Read More about Modelling beyond regression functions: An application of multimodal regression to speed-flow data.

Higher-order active contours (2006)
Journal Article
Rochery, M., Jermyn, I., & Zerubia, J. (2006). Higher-order active contours. International Journal of Computer Vision, 69(1), 27-42. https://doi.org/10.1007/s11263-006-6851-y

We introduce a new class of active contour models that hold great promise for region and shape modelling, and we apply a special case of these models to the extraction of road networks from satellite and aerial imagery. The new models are arbitrary p... Read More about Higher-order active contours.

Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms (2006)
Journal Article
Funke, J., & Millson, J. (2006). Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms. American Journal of Mathematics, 128(4), 899-948. https://doi.org/10.1353/ajm.2006.0032

The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the case where the cycles have local coefficients. Now t... Read More about Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms.

The fitting of multifunctions: an approach to nonparametric multimodal regression (2006)
Presentation / Conference Contribution
Einbeck, J., & Tutz, G. (2006, August). The fitting of multifunctions: an approach to nonparametric multimodal regression. Presented at COMPSTAT., Rome, Italy

In the last decades a lot of research has been devoted to smoothing in the sense of nonparametric regression. However, this work has nearly exclusively concentrated on fitting regression functions. When the conditional distribution of y|x is multimod... Read More about The fitting of multifunctions: an approach to nonparametric multimodal regression.

Schrodinger-Chern-Simons vortex dynamics. (2006)
Journal Article
Krusch, S., & Sutcliffe, P. (2006). Schrodinger-Chern-Simons vortex dynamics. Nonlinearity, 19(7), 1515-1534. https://doi.org/10.1088/0951-7715/19/7/003

Galois modules arising from Faltings's strict modules (2006)
Journal Article
Abrashkin, V. (2006). Galois modules arising from Faltings's strict modules. Compositio Mathematica, 142(4), 867-888. https://doi.org/10.1112/s0010437x06002041

Suppose that $O=\Bbb F_q[\pi ]$ is a polynomial ring and $R$ is a commutative unitary $O$-algebra. The category of finite group schemes over $R$ with a strict action of $O$ was recently introduced by Faltings and appears as an equal characteristic an... Read More about Galois modules arising from Faltings's strict modules.

Cone metrics on the sphere and Livne's lattices (2006)
Journal Article
Parker, J. R. (2006). Cone metrics on the sphere and Livne's lattices. Acta Mathematica, 196(1), 1-64. https://doi.org/10.1007/s11511-006-0001-9

We give an explicit construction of a family of lattices in PU (1, 2) originally constructed by Livné. Following Thurston, we construct these lattices as the modular group of certain Euclidean cone metrics on the sphere. We give connections between t... Read More about Cone metrics on the sphere and Livne's lattices.