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Torsional magnetic reconnection at three dimensional null points: A phenomenological study (2010)
Journal Article
Wyper, P., & Jain, R. (2010). Torsional magnetic reconnection at three dimensional null points: A phenomenological study. Physics of Plasmas, 17(9), Article 092902. https://doi.org/10.1063/1.3480639

Magnetic reconnection around three dimensional (3D) magnetic null points is the natural progression from X-point reconnection in two dimensions. In 3D the separator field lines of the X-point are replaced with the spine line and fan plane (the field... Read More about Torsional magnetic reconnection at three dimensional null points: A phenomenological study.

Special values of L-functions and false Tate curve extensions (2010)
Journal Article
Bouganis, A. (2010). Special values of L-functions and false Tate curve extensions. Journal of the London Mathematical Society, 82(3), 596-620. https://doi.org/10.1112/jlms/jdq041

In this paper we show how the p-adic Rankin–Selberg product construction of Hida can be combined with freeness results of Hecke modules of Wiles to establish interesting congruences between particular special values of L-functions of elliptic curves.... Read More about Special values of L-functions and false Tate curve extensions.

Rate of escape and central limit theorem for the supercritical Lamperti problem (2010)
Journal Article
Menshikov, M., & Wade, A. R. (2010). Rate of escape and central limit theorem for the supercritical Lamperti problem. Stochastic Processes and their Applications, 120(10), 2078-2099. https://doi.org/10.1016/j.spa.2010.06.004

The study of discrete-time stochastic processes on the half-line with mean drift at x given by μ1(x)→0 as x→∞ is known as Lamperti’s problem. We give sharp almost-sure bounds for processes of this type in the case where μ1(x) is of order x−β for some... Read More about Rate of escape and central limit theorem for the supercritical Lamperti problem.

A double-ring algorithm for modeling solar active regions: Unifying kinematic dynamo models and surface flux-transport simulations (2010)
Journal Article
Muñoz-Jaramillo, A., Nandy, D., Martens, P., & Yeates, A. (2010). A double-ring algorithm for modeling solar active regions: Unifying kinematic dynamo models and surface flux-transport simulations. Astrophysical Journal, 720(1), https://doi.org/10.1088/2041-8205/720/1/l20

The emergence of tilted bipolar active regions (ARs) and the dispersal of their flux, mediated via processes such as diffusion, differential rotation, and meridional circulation, is believed to be responsible for the reversal of the Sun's polar field... Read More about A double-ring algorithm for modeling solar active regions: Unifying kinematic dynamo models and surface flux-transport simulations.

On the non-commutative Main Conjecture for elliptic curves with Complex Multiplication (2010)
Journal Article
Bouganis, A., & Venjakob, O. (2010). On the non-commutative Main Conjecture for elliptic curves with Complex Multiplication. Asian Journal of Mathematics, 14(3), 385-416. https://doi.org/10.4310/ajm.2010.v14.n3.a6

In [7] a non-commutative Iwasawa Main Conjecture for elliptic curves over Q has been formulated. In this note we show that it holds for all CM-elliptic curves E defined over Q. This was claimed in (loc. cit.) without proof, which we want to provide n... Read More about On the non-commutative Main Conjecture for elliptic curves with Complex Multiplication.

Limit theorems for random spatial drainage networks (2010)
Journal Article
Penrose, M. D., & Wade, A. R. (2010). Limit theorems for random spatial drainage networks. Advances in Applied Probability, 42(3), 659-688. https://doi.org/10.1239/aap/1282924058

Suppose that, under the action of gravity, liquid drains through the unit d-cube via a minimal-length network of channels constrained to pass through random sites and to flow with nonnegative component in one of the canonical orthogonal basis directi... Read More about Limit theorems for random spatial drainage networks.

Segmentation of networks from VHR remote sensing images using a directed phase field HOAC model (2010)
Presentation / Conference Contribution
El Ghoul, A., Jermyn, I., & Zerubia, J. (2010, September). Segmentation of networks from VHR remote sensing images using a directed phase field HOAC model. Presented at ISPRS-Technical-Commission III Symposium on Photogrammetric Computer Vision and Image Analysis (PCV), Saint Mande

We propose a new algorithm for network segmentation from very high resolution (VHR) remote sensing images. The algorithm performs this task quasi-automatically, that is, with no human intervention except to fix some parameters. The task is made diffi... Read More about Segmentation of networks from VHR remote sensing images using a directed phase field HOAC model.

Exact g-function flow between conformal field theories. (2010)
Journal Article
Dorey, P., Rim, C., & Tateo, R. (2010). Exact g-function flow between conformal field theories. Nuclear Physics B, 834(3), 485-501. https://doi.org/10.1016/j.nuclphysb.2010.03.010

Exact equations are proposed to describe g-function flows in integrable boundary quantum field theories which interpolate between different conformal field theories in their ultraviolet and infrared limits, extending previous work where purely massiv... Read More about Exact g-function flow between conformal field theories..

On Weingarten surfaces in Euclidean and Lorentzian 3-space (2010)
Journal Article
Guilfoyle, B., & Klingenberg, W. (2010). On Weingarten surfaces in Euclidean and Lorentzian 3-space. Differential Geometry and its Applications, 28(4), 454-468. https://doi.org/10.1016/j.difgeo.2009.12.002

We study the neutral Kähler metric on the space of time-like lines in Lorentzian View the MathML source, which we identify with the total space of the tangent bundle to the hyperbolic plane. We find all of the infinitesimal isometries of this metric,... Read More about On Weingarten surfaces in Euclidean and Lorentzian 3-space.