Concept

Géométrie finie

Publications associées (40)

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Points surrounding the origin

János Pach, Andreas Fukami Holmsen

Suppose d > 2, n > d+1, and we have a set P of n points in d-dimensional Euclidean space. Then P contains a subset Q of d points such that for any p ∈ P, the convex hull of Q∪{p} does not contain the origin in its interior. We also show that for non-emp ...

2008

Algebraic methods for channel coding

Frédérique Oggier

This work is dedicated to developing algebraic methods for channel coding. Its goal is to show that in different contexts, namely single-antenna Rayleigh fading channels, coherent and non-coherent MIMO channels, algebraic techniques can provide useful tool ...

EPFL2005

GLS and EVSS methods for a three-field Stokes problem arising from viscoelastic flows

Marco Picasso

In this paper, order one finite elements together with Galerkin least-squares (GLS) methods are used for solving a three-held Stokes problem arising from the numerical study of viscoelastic hows. Stability and convergence results are established, even when ...

2001

On cyclic MDS codes

Mohammad Amin Shokrollahi

We investigate the question when a cyclic code is maximum distance separable (MDS). For codes of (co-)dimension 3, this question is related to permutation properties of the polynomial (xb - 1)/(x - 1) for a certain b. Using results on these polynomials we ...

Springer1999

Generalized field propagator for arbitrary finite-size photonic band gap structures

Olivier Martin

We investigate the properties of photonic band gap structures of finite size and arbitrary geometry using the density of states deduced from scattering calculations. We first demonstrate this procedure on a finite 2D array of cylinders and then study at op ...

American Physical Society1999

Normal bases in finite fields via general Gauss periods

Mohammad Amin Shokrollahi

Gauss periods have been used successfully as a tool for constructing normal bases in finite fields. Starting from a primitive

r

th root of unity, one obtains under certain conditions a normal basis for

mathbb F_q^n

over

F_q

, where

r

is a prime and ...

1999

Minimum Support Interpolators with Optimum Approximation Properties

Michaël Unser, Philippe Thévenaz, Thierry Blu

We investigate the functions of given approximation order L that have the smallest support. Those are shown to be linear combinations of the B-spline of degree L-1 and its L-1 first derivatives. We then show how to find the functions that minimize the asym ...

IEEE1998

GigaView and HyperMaps for finite elements based urban networks and system managers

Roger Hersch

This paper describes the original integration of three concepts (finite elements, geoparametric transformations, and HyperMaps) and their application to the management of the water network in the region of Lausanne, Switzerland. The finite element method l ...

Elsevier1995

A Schur-based approach to the four-block problem

Ali H. Sayed

We descibe an alternative solution to the four-block problem using the method of (generalized) Schur analysis. We first reduce the general problem to a simpler one by invoking an inner-outer factorization with a block-diagonal inner matrix. Then using smal ...

1992

Modélisation et simulation bidimensionnelles de la croissance des polycristaux

In this article it is shown that Laguerre partitions of the unit torus yield faithful global representations of the geometry of ceramic polycrytals at the microscopic level. On this basis, a simulation model has been developed and tested reproducing some o ...

1990

Normal bases in finite fields via general Gauss periods

Mohammad Amin Shokrollahi

Gauss periods have been used successfully as a tool for constructing normal bases in finite fields. Starting from a primitive

r

th root of unity, one obtains under certain conditions a normal basis for

mathbb F_q^n

over

F_q

, where

r

is a prime and ...

1999