Concept

Complete metric space

Related publications (62)

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Simulation tool linking hydroelectric production sites and electrical networks

François Avellan, Jean-Jacques Simond, Christophe Nicolet, Philippe Allenbach

Since many years the EPFL Laboratory of Electrical Machines develops SIMSEN, a numerical software package for the simulation of electrical power systems and adjustable speed drives, in transient and steady-state conditions, having an arbitrary topology. SI ...

2006

On Haagerup and Kazhdan properties

In the first chapter, we characterize p-adic linear algebraic groups with the Haagerup Property. We also characterize connected Lie groups having the Haagerup Property viewed as discrete groups, and we provide an example of a finitely presented group not h ...

EPFL2006

A Topological Treatment of Early-Deciding Set-Agreement

Rachid Guerraoui, Bastian Pochon

This paper considers the k-set-agreement problem in a synchronous message passing distributed system where up to t processes can fail by crashing. We determine the number of communication rounds needed for all correct processes to reach a decision in a giv ...

2006

GSM-Distributed RTK for Precise Analysis of Speed Skiing

Jan Skaloud, Bertrand Merminod, Hervé Gontran

The applications to dynamic sports for an accurate analysis of trajectories represent a new perspective for carrier phase-based GPS positioning. Introduced in competitive skiing, the GPS technique provide all the qualitative data for a complete analysis of ...

2004

Tangent Spaces to Metric Spaces: Overview and Motivations

Marc Troyanov

This is the text of an introductory lecture I made at the Séminaire Borel 2003 (IIIème Cycle Romand de Mathématiques). The general theme of that seminaire was Tangent Spaces of Metric Spaces. ...

2003

Object Localization in Metric Spaces for Video Linking

Daniel Gatica-Perez

While objects often constitute the desired level of access for browsing and retrieval in video databases, an inherent problem for on-line object definition is that of model construction from a few examples. In this paper, we present a probabilistic methodo ...

IDIAP2003

The commensurate composite sigma-structure of beta-tantalum

Gervais Chapuis, Alla Arakcheeva, Philip Pattison

The single-crystal investigation of the self-hosting sigma-structure of beta-tantalum (beta-Ta) at 120 K (low-temperature, LT, structure) and at 293 K (RT-I before cooling and RT-II after cooling and rewarming; RT represents room temperature) shows that th ...

2003

Capacities in metric spaces

Marc Troyanov

We discuss the potential theory related to variational capacity and the Sobolev capacity on metric measure spaces. We prove our results within the axiomatic framework. ...

2002

Object Localization in Metric Spaces for Video Linking

Daniel Gatica-Perez

2002

An integral characterization of Hajlasz-Sobolev space

Marc Troyanov

We prove that the pointwise inequality used by P. Hajlasz in his definition of Sobolev spaces on metric spaces is equivalent to an integral (Poincaré-type) inequality. ...

2001