Outputs (106)

Closed 1-forms with at most one zero (2006)
Journal Article
Farber, M., & Schutz, D. (2006). Closed 1-forms with at most one zero. Topology (Oxford), 45(3), 465-473. https://doi.org/10.1016/j.top.2005.06.006

We prove that in any nonzero cohomology class ξH1(M;R) there always exists a closed 1-form having at most one zero.

Geodesics in non-positively curved plane tessellations (2006)
Journal Article
Baues, O., & Peyerimhoff, N. (2006). Geodesics in non-positively curved plane tessellations. Advances in Geometry, 6(2), 243-263. https://doi.org/10.1515/advgeom.2006.014

We introduce a natural combinatorial curvature function on the corners of plane tessellations and relate it to the global metric geometry of their corresponding edge and dual graphs. If the combinatorial curvature in the corners is non-positive then... Read More about Geodesics in non-positively curved plane tessellations.

Skyrmions with massive pions. (2006)
Journal Article
Battye, R., & Sutcliffe, P. (2006). Skyrmions with massive pions. Physical review. C, Nuclear physics, 73(5), https://doi.org/10.1103/physrevc.73.055205

Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure (2006)
Journal Article
Brizhik, L., Eremko, A., Piette, B., & Zakrzewski, W. (2006). Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure. Chemical Physics, 324(1), 259-266. https://doi.org/10.1016/j.chemphys.2006.01.033

We study the nonlinear mechanism of the energy and charge transfer in low-dimensional nanosystems with helical structure. We show that the helical symmetry is important for the formation, stability and dynamical properties of the soliton-like self-tr... Read More about Charge and energy transfer by solitons in low-dimensional nanosystems with helical structure.

Spherical means on compact locally symmetric spaces of non-positive curvature (2006)
Journal Article
Peyerimhoff, N. (2006). Spherical means on compact locally symmetric spaces of non-positive curvature. Forum Mathematicum, 18(3), 391-417. https://doi.org/10.1515/forum.2006.022

We consider spherical means of continuous functions on the unit tangent bundle of a compact, non-positively curved locally symmetric space and study their behavior as the radius tends to infinity. In dimension greater or equal to 2, we prove that sph... Read More about Spherical means on compact locally symmetric spaces of non-positive curvature.

Traces of CM values of modular functions (2006)
Journal Article
Bruinier, J., & Funke, J. (2006). Traces of CM values of modular functions. Journal für die reine und angewandte Mathematik, 594, 1-33. https://doi.org/10.1515/crelle.2006.034

Zagier proved that the traces of singular moduli, i.e., the sums of the values of the classical j-invariant over quadratic irrationalities, are the Fourier coefficients of a modular form of weight 3/2 with poles at the cusps. Using the theta correspo... Read More about Traces of CM values of modular functions.

Primitive divisors of elliptic divisibility sequences (2006)
Journal Article
Everest, G., McLaren, G., & Ward, T. (2006). Primitive divisors of elliptic divisibility sequences. Journal of Number Theory, 118(1), 71-89. https://doi.org/10.1016/j.jnt.2005.08.002

Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For elliptic curves in global minimal form, it seems likely this result is true in a uniform manner. We present such a result for certain infinite families of c... Read More about Primitive divisors of elliptic divisibility sequences.

Random Effect Modelling for Regression Models with Gamma-distributed response (2006)
Presentation / Conference Contribution
Einbeck, J., & Hinde, J. (2006, May). Random Effect Modelling for Regression Models with Gamma-distributed response. Presented at 26th Conference on Applied Statistics in Ireland (CASI 2006), Killarney, Ireland

Classification of capped tubular viral particles in the family of Papovaviridae (2006)
Journal Article
Keef, T., Taormina, A., & Twarock, R. (2006). Classification of capped tubular viral particles in the family of Papovaviridae. Journal of Physics: Condensed Matter, 18(14), 375-387. https://doi.org/10.1088/0953-8984/18/14/s18

A vital constituent of a virus is its protein shell, called the viral capsid, that encapsulates and hence provides protection for the viral genome. Viral capsids are usually spherical, and for a significant number of viruses they exhibit overall icos... Read More about Classification of capped tubular viral particles in the family of Papovaviridae.

Twisted vertex operators and Bernoulli polynomials (2006)
Journal Article
Doyon, B., Lepowsky, J., & Milas, A. (2006). Twisted vertex operators and Bernoulli polynomials. Communications in Contemporary Mathematics, 8(2), 247-307. https://doi.org/10.1142/s0219199706002118

Using general principles in the theory of vertex operator algebras and their twisted modules, we obtain a bosonic, twisted construction of a certain central extension of a Lie algebra of differential operators on the circle, for an arbitrary twisting... Read More about Twisted vertex operators and Bernoulli polynomials.