Publications related to On the mode stability of a self-similar wave map

Convolution on the n-Sphere With Application to PDF Modeling

In this paper, we derive an explicit form of the convolution theorem for functions on an n-sphere. Our motivation comes from the design of a probability density estimator for n-dimensional random vectors. We propose a probability density function (pdf) est ...

Institute of Electrical and Electronics Engineers2010

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

Spectral Properties And Linear Stability Of Self-Similar Wave Maps

Roland Donninger

We study co-rotational wave maps from (3 + 1)-Minkowski space to the three-sphere S-3. It is known that there exists a countable family {f(n)} of self-similar solutions. We investigate their stability under linear perturbations by operator theoretic method ...

2009

Existence and orbital stability of standing waves for some nonlinear Schrodinger equations, perturbation of a model case

François Samer Genoud

The following nonlinear Schrodinger equation is studied ...

2009

Situational Awareness Using A Single Omnidirectional Camera

Pierre Vandergheynst, Luigi Bagnato, Laurent Jacques, Eugenio De Vito

To retrieve scene informations using a single omnidirectional camera, we have based our work on a shape from texture method proposed by Lindeberg. To do so, we have adapted the method of Lindeberg, that was developed for planar images, in order to use it o ...

2008

The continuous wavelet transform on conic sections

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

We review the known construction of the continuous wavelet transform (CWT) on the two-sphere. Next we describe the construction of a CWT on the upper sheet of a two- sheeted hyperboloid, emphasizing the similarities between the two cases. Finally we give s ...

2008

Complex data processing: fast wavelet analysis on the sphere

Yves Wiaux, Jason Douglas McEwen

In the general context of complex data processing, this paper reviews a recent practical approach to the continuous wavelet formalism on the sphere. This formalism notably yields a correspondence principle which relates wavelets on the plane and on the sph ...

2007

Spectral Properties and Stability of Self-Similar Wave Maps

Roland Donninger

In this thesis the Cauchy problem and in particular the question of singularity formation for co--rotational wave maps from 3+1 Minkowski space to the three--sphere

S^3

is studied. Numerics indicate that self--similar solutions of this model play a cruci ...

University of Vienna2007

Stereographic Wavelet Frames on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this paper we exploit the Continuous Wavelet Transform (CWT) on the two dimensional sphere, introduced previously by two of us, to build associated Discrete Wavelet Frames. We first explore half-continuous frames, i.e., frames where the position remains ...

2005

Direct observation of nondiffusive motion of a Brownian particle

László Forró, Andrzej Kulik, Sylvia Jeney, Branimir Lukic

The thermal position fluctuations of a single micron-sized sphere immersed in a fluid were recorded by optical trapping interferometry with nanometer spatial and microsecond temporal resolution. We find, in accord with the theory of Brownian motion includi ...

2005

On the mode stability of a self-similar wave map

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Convolution on the n-Sphere With Application to PDF Modeling

Computation and visualization of ideal knot shapes

Spectral Properties And Linear Stability Of Self-Similar Wave Maps

Existence and orbital stability of standing waves for some nonlinear Schrodinger equations, perturbation of a model case

Situational Awareness Using A Single Omnidirectional Camera

The continuous wavelet transform on conic sections

Complex data processing: fast wavelet analysis on the sphere

Spectral Properties and Stability of Self-Similar Wave Maps

Stereographic Wavelet Frames on the Sphere

Direct observation of nondiffusive motion of a Brownian particle

Convolution on the n-Sphere With Application to PDF Modeling

Existence and orbital stability of standing waves for some nonlinear Schrodinger equations, perturbation of a model case

Computation and visualization of ideal knot shapes

Situational Awareness Using A Single Omnidirectional Camera

The continuous wavelet transform on conic sections

Complex data processing: fast wavelet analysis on the sphere

Spectral Properties And Linear Stability Of Self-Similar Wave Maps

Direct observation of nondiffusive motion of a Brownian particle

Stereographic Wavelet Frames on the Sphere

Spectral Properties and Stability of Self-Similar Wave Maps