Concept

Fermat's theorem (stationary points)

Related publications (32)

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The Stationary Behaviour of Fluid Limits of Reversible Processes is Concentrated on Stationary Points

Jean-Yves Le Boudec

Assume that a stochastic processes can be approximated, when some scale parameter gets large, by a fluid limit (also called mean field limit", or hydrodynamic limit"). A common practice, often called the ``fixed point approximation" consists in approxi ...

arxiv.org2010

The effect of tissue geometry on the activation recovery interval of atrial myocytes

Vincent Jacquemet

The propagation of electric activity inside a realistically-shaped, thick-walled model of the atria was studied. The membrane kinetics was based on the formulations of Courtemanche, Ramirez and Nattel. In spite of the assumed uniformity of all kinetics par ...

2009

A Class Of Mean Field Interaction Models for Computer and Communication Systems

Jean-Yves Le Boudec

We consider models of N interacting objects, where the interaction is via a common resource and the distribution of states of all objects. We introduce the key scaling concept of intensity; informally, the expected number of transitions per object per time ...

2008

On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws

Erik Burman

A finite element method for Burgers' equation is studied. The method is analyzed using techniques from stabilized finite element methods and convergence to entropy solutions is proven under certain hypotheses on the artificial viscosity. In particular we a ...

Springer Netherlands2007

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

The approximate behavior of wavelets as differential operators is often considered as one of their most fundamental properties. In this paper, we investigate how we can further improve on the wavelet's behavior as differentiator. In particular, we propose ...

SPIE2005

Propriétés hors-équilibre d'une paroi adiabatique

Séverine Pache

We study the evolution of a system composed of N non-interacting particles of mass m distributed in a cylinder of length L. The cylinder is separated into two parts by an adiabatic piston of a mass M ≫ m. The length of the cylinder is a fix paramete ...

EPFL2004

Phase AutoCorrelation (PAC) derived Robust Speech Features

Hervé Bourlard, Hemant Misra, Shajith Ikbal

In this paper, we introduce a new class of noise robust acoustic features derived from a new measure of autocorrelation, and explicitly exploiting the phase variation of the speech signal frame over time. This family of features, referred to as ``Phase Aut ...

2003

Phase AutoCorrelation (PAC) derived Robust Speech Features

Hervé Bourlard, Hemant Misra, Shajith Ikbal

IDIAP2002

Linear estimation in Krein spaces II. Applications

Ali H. Sayed

We have shown that several interesting problems in H/sup /spl infin//-filtering, quadratic game theory, and risk sensitive control and estimation follow as special cases of the Krein-space linear estimation theory developed in Part I. We show that all thes ...

Institute of Electrical and Electronics Engineers1996

Linear estimation in Krein spaces I. Theory

Ali H. Sayed

The authors develop a self-contained theory for linear estimation in Krein spaces. The derivation is based on simple concepts such as projections and matrix factorizations and leads to an interesting connection between Krein space projection and the recurs ...

IEEE1996