Concept

Torus

Related publications (42)

Embeddings Of Maximal Tori In Orthogonal Groups

We give necessary and sufficient conditions for an orthogonal group defined over a global field of characteristic not equal 2 to contain a maximal torus of a given type. ...

Annales Inst Fourier2014

Complete multi-field characterization of the geodesic acoustic mode in the TCV tokamak

Stefano Coda, Laurent Villard, Stephan Brunner, Laurie Porte, Zhouji Huang, Gabriele Merlo, Julien Stanislas Pierre Dominski, Thibaut Vernay, Cornelis Adrianus de Meijere

The geodesic acoustic mode (GAM) is a coherently oscillating zonal flow that may regulate turbulence in toroidal plasmas. Uniquely, the complete poloidal and toroidal structure of the magnetic component of the turbulence-driven GAM has been mapped in the T ...

Iop Publishing Ltd2014

Numerical comparison and calibration of geometrical multiscale models for the simulation of arterial flows

Adelmo Cristiano Innocenza Malossi, Jean Bonnemain

Arterial tree hemodynamics can be simulated by means of several models of different level of complexity, depending on the outputs of interest and the desired degree of accuracy. In this work, several numerical comparisons of geometrical multiscale models a ...

2013

Non-linear magnetic perturbations during edge-localized modes in TCV dominated by low n mode components

Olivier Sauter, Holger Reimerdes, Hartmut Zohm

Edge-localized modes (ELMs) are instabilities in the edge of tokamak plasmas in the high confinement regime (H-mode). Despite beneficial aspects of ELMs, in a future device the size of the energy loss per ELM must be controlled, in order to avoid intolerab ...

Iop Publishing Ltd2013

Ohmic energy confinement saturation and core toroidal rotation reversal in Alcator C-Mod plasmas

Basil Duval

Ohmic energy confinement saturation is found to be closely related to core toroidal rotation reversals in Alcator C-Mod tokamak plasmas. Rotation reversals occur at a critical density, depending on the plasma current and toroidal magnetic field, which coin ...

2012

Capacities, Systoles and Jacobians of Riemann Surfaces

Björn Mützel

To any compact Riemann surface of genus g one may assign a principally polarized abelian variety (PPAV) of dimension g, the Jacobian of the Riemann surface. The Jacobian is a complex torus and we call a Gram matrix of the lattice of a Jacobian a period Gra ...

EPFL2011

Distribution of periodic torus orbits and Duke's theorem for cubic fields

Philippe Michel

We study periodic torus orbits on spaces of lattices. Using the action of the group of adelic points of the underlying tori, we define a natural equivalence relation on these orbits, and show that the equivalence classes become uniformly distributed. This ...

2011

Computation and visualization of ideal knot shapes

Mathias Carlen

We investigate numerical simulations and visualizations of the problem of tying a knot in a piece of rope. The goal is to use the least possible rope of a fixed, prescribed radius to tie a particular knot, e.g. a trefoil, a figure eight, and so on. The rop ...

EPFL2010

Isometry groups of non-positively curved spaces: Discrete subgroups

Nicolas Monod

We study lattices in non-positively curved metric spaces. Borel density is established in that setting as well as a form of Mostow rigidity. A converse to the flat torus theorem is provided. Geometric arithmeticity results are obtained after a detour throu ...

2009

Two variants of the support problem for products of abelian varieties and tori

Antonella Perucca

Let G be the product of an abelian variety and a torus defined over a number field K. Let P and Q be K-rational points on G. Suppose that for all but finitely many primes p of K the order of (Q mod p) divides the order of (P mod p). Then there exist a K-en ...

2009

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