Publications associées à N-sphère

Full blow-up range for co-rotaional wave maps to surfaces of revolution

We construct blow-up solutions of the energy critical wave map equation on

\mathbb{R}^{2+1}\to \mathcal N

with polynomial blow-up rate (

t^{-1-\nu}

for blow-up at

t=0

) in the case when

\mathcal N

is a surface of revolution. Here we extend the blow-u ...

2014

On the number of lattice points in a small sphere and a recursive lattice decoding algorithm

Annika Meyer

Let L be a lattice in . This paper provides two methods to obtain upper bounds on the number of points of L contained in a small sphere centered anywhere in . The first method is based on the observation that if the sphere is sufficiently small then the la ...

Springer US2013

Universal sample holder

Graham Knott

This device is for holding samples during their preparation prior to imaging in the electron microscope. The design means it can be transferred between the light and electron microscopes as well as trimming devices used to prepare the final sample. It can ...

2013

Sparse image reconstruction on the sphere: implications of a new sampling theorem

Jean-Philippe Thiran, Pierre Vandergheynst, Dimitri Nestor Alice Van De Ville, Yves Wiaux, Gilles Puy, Jason Douglas McEwen

A new sampling theorem on the sphere has been developed recently, reducing the number of samples required to represent a band-limited signal by a factor of two for equiangular sampling schemes. For signals sparse in a spatially localised measure, such as i ...

Institute of Electrical and Electronics Engineers2013

A link between short-range and long-range properties of random sphere packings

Daniele Mari, Gérard Gremaud, Arnaud Comment, Riccardo Balzan, Alessandro Luigi Sellerio

We present a high precision particle-by-particle 3D reconstruction of granular systems composed of monodispersed spheres (sphere packings); the experimental approach is based on magnetic resonance imaging techniques. Our measurements revealed a strong corr ...

Springer Berlin Heidelberg2013

Asymptotic linearity and Hadamard differentiability

Charles Stuart

For a mapping between Banach spaces, two weaker variants of the usual notion of asymptotic linearity are defined and explored. It is shown that, under inversion through the unit sphere, they correspond to Hadamard and weak Hadamard differentiability at the ...

2012

Blow Up Construction and Stability of Stationary Maps

Sohrab Mirshams Shahshahani

This thesis is a study of wave maps from a curved background to the standard two dimensional sphere S2. The target is always assumed to be embedded in R3 in the standard way. The do- main manifold (the "curved background") will be diffeomorphic to S2 × R, ...

EPFL2012

High-resolution detection of Brownian motion for quantitative optical tweezers experiments

Sylvia Jeney, Matthias Grimm

We have developed an in situ method to calibrate optical tweezers experiments and simultaneously measure the size of the trapped particle or the viscosity of the surrounding fluid. The positional fluctuations of the trapped particle are recorded with a hig ...

Amer Physical Soc2012

On stable self-similar blow up for equivariant wave maps: The linearized problem

Roland Donninger

We consider co-rotational wave maps from (3+1) Minkowski space into the three-sphere. This is an energy supercritical model which is known to exhibit finite time blow up via self-similar solutions. The ground state self-similar solution

f_0

is known in c ...

2012

On Sphere-Filling Ropes

Henryk Gerlach

What is the longest rope on the unit sphere? Intuition tells us that the answer to this packing problem depends on the rope's thickness. For a countably infinite number of prescribed thickness values we construct and classify all solution curves. The simpl ...

2011

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Full blow-up range for co-rotaional wave maps to surfaces of revolution

On the number of lattice points in a small sphere and a recursive lattice decoding algorithm

Universal sample holder

Sparse image reconstruction on the sphere: implications of a new sampling theorem

A link between short-range and long-range properties of random sphere packings

Asymptotic linearity and Hadamard differentiability

Blow Up Construction and Stability of Stationary Maps

High-resolution detection of Brownian motion for quantitative optical tweezers experiments

On stable self-similar blow up for equivariant wave maps: The linearized problem

On Sphere-Filling Ropes

Full blow-up range for co-rotaional wave maps to surfaces of revolution

Blow Up Construction and Stability of Stationary Maps

On stable self-similar blow up for equivariant wave maps: The linearized problem

On the number of lattice points in a small sphere and a recursive lattice decoding algorithm

Sparse image reconstruction on the sphere: implications of a new sampling theorem

Universal sample holder

A link between short-range and long-range properties of random sphere packings

Asymptotic linearity and Hadamard differentiability

High-resolution detection of Brownian motion for quantitative optical tweezers experiments

On Sphere-Filling Ropes