Publications related to Number line

Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

Eva Bayer Fluckiger, Piotr Aleksander Maciak

The aim of this paper is to give upper bounds for the Euclidean minima of abelian fields of odd prime power conductor. In particular, these bounds imply Minkowski's conjecture for totally real number fields of conductor p(r), where p is an odd prime number ...

Springer Verlag2013

Fixed Point Property For Universal Lattice On Schatten Classes

Masato Mimura

The special linear group G = SLn(Z[x(1), ... , x(k)]) (n at least 3 and k finite) is called the universal lattice. Let n be at least 4, and p be any real number in (1, infinity). The main result is the following: any finite index subgroup of G has the fixe ...

Amer Mathematical Soc2013

On the Sparsity of Wavelet Coefficients for Signals on Graphs

Pierre Vandergheynst, Benjamin Ricaud, David Shuman

A number of new localized, multiscale transforms have recently been introduced to analyze data residing on weighted graphs. In signal processing tasks such as regularization and compression, much of the power of classical wavelets on the real line is deriv ...

Spie-Int Soc Optical Engineering2013

KUL and EPFL cooperation on numerical integration of Sommerfeld integrals.

Juan Ramon Mosig, Ruzica Golubovic

This paper reports the result of the cooperation between KUL and EPFL on the numerical integration of Sommerfeld integrals (SI). Each institution is well-known for developing specific techniques suited for the evaluation of SI: double-exponential quadratur ...

2012

Numerical integration of Sommerfeld integrals based on singularity extraction techniques and double exponential-type quadrature formulas

Juan Ramon Mosig, Ruzica Golubovic

A direct integration algorithm for the evaluation of Sommerfeld integrals is presented. This algorithm does not require the deformation of the integration path to avoid spectral singularities. The integration is performed along the real axis only. The algo ...

2012

One-Bit Measurements With Adaptive Thresholds

Michaël Unser, Arash Amini, Ulugbek Kamilov, Aurélien Bourquard

We introduce a new method for adaptive one-bit quantization of linearmeasurements and propose an algorithm for the recovery of signals based on generalized approximate message passing (GAMP). Our method exploits the prior statistical information on the sig ...

Ieee-Inst Electrical Electronics Engineers Inc2012

Chebyshev interpolation for nonlinear eigenvalue problems

Daniel Kressner, Peter Cedric Effenberger

This work is concerned with numerical methods for matrix eigenvalue problems that are nonlinear in the eigenvalue parameter. In particular, we focus on eigenvalue problems for which the evaluation of the matrix-valued function is computationally expensive. ...

Springer Netherlands2012

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

Roland Donninger

We consider semiclassical Schr"odinger operators on the real line of the form

H(\hbar)=-\hbar^2 \frac{d^2}{dx^2}+V(\cdot;\hbar)

with

\hbar>0

small. The potential

V

is assumed to be smooth, positive and exponentially decaying towards infinity. We e ...

Springer Basel Ag2012

Development of Elastomeric Optofluidic Devices for Lasing and Sensing

Wuzhou Song

The term of optofluidics defines an emergent research field that combines microfluidics and optics. In many lab-on-a-chip applications, these two technologies are used in combining the microfluidics for sample delivery and optics for sensing and controllin ...

EPFL2012

A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties

Jan Sickmann Hesthaven

We formulate and derive a generalization of an orthogonal rational-function basis for spectral expansions over the infinite or semi-infinite interval. The original functions, first presented by Wiener, are a mapping and weighting of the Fourier basis to th ...

American Mathematical Society2011

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Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

Fixed Point Property For Universal Lattice On Schatten Classes

On the Sparsity of Wavelet Coefficients for Signals on Graphs

KUL and EPFL cooperation on numerical integration of Sommerfeld integrals.

Numerical integration of Sommerfeld integrals based on singularity extraction techniques and double exponential-type quadrature formulas

One-Bit Measurements With Adaptive Thresholds

Chebyshev interpolation for nonlinear eigenvalue problems

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

Development of Elastomeric Optofluidic Devices for Lasing and Sensing

A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties

Chebyshev interpolation for nonlinear eigenvalue problems

Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties

Numerical integration of Sommerfeld integrals based on singularity extraction techniques and double exponential-type quadrature formulas

KUL and EPFL cooperation on numerical integration of Sommerfeld integrals.

On the Sparsity of Wavelet Coefficients for Signals on Graphs

Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

One-Bit Measurements With Adaptive Thresholds

Development of Elastomeric Optofluidic Devices for Lasing and Sensing

Fixed Point Property For Universal Lattice On Schatten Classes