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Uniformly perfect finitely generated simple left orderable groups

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Linear Manifold Approximation based on Differences of Tangents

Pascal Frossard, Sofia Karygianni

In this paper, we consider the problem of manifold approximation with affine subspaces. Our objective is to discover a set of low dimensional affine subspaces that represents manifold data accurately while preserving the manifold’s structure. For this purp ...

2011

The group of unimodular automorphisms of a principal bundle and the Euler-Yang-Mills equations

Given a principal bundle G hooked right arrow P -> B (each being compact, connected and oriented) and a G-invariant metric h(P) on P which induces a volume form mu(P), we consider the group of all unimodular automorphisms SAut(P, mu(P)) := {phi is an eleme ...

2010

Infinite dimensional geodesic flows and the universal Teichmüller space

François Gay-Balmaz

The subject of this thesis lies in the intersection of differential geometry and functional analysis, a domain usually called global analysis. A central object in this work is the group Ds(M) of all orientation preserving diffeomorphisms of a compact manif ...

EPFL2009

Non-unitarisable representations and random forests

Nicolas Monod

We establish a connection between Dixmier's unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L2-Betti number is non-zero or if it is finitely generate ...

Oxford University Press2009

“Alice in London Architecture Festival.”

Jean-Denis Bourquin, Claire Hofmann Chalard

A group of 12 architecture students from EPFL returned from the London Festival of Architecture (19 June-19 July 08), where their contribution, "Overflow", a structure that reacts to tides in the Thames River, was chosen as the best overall project among a ...

EPFL2008

Cayley Graphs and growth of groups

Nathalie Pellet

One of the most fundamental objects in algebra is the group. There exist plenty of different groups. In the following article we consider some free abelian gorups, cyclic groups, free groups and fundamental groups as well as the products of groups and draw ...

2008

Advances in the Design and Implementation of Group Communication Middleware

André Schiper, Sergio Mena, Olivier Rütti, Rachele Fuzzati, Daniel Bünzli

Group communication is a programming abstraction that allows a distributed group of processes to provide a reliable service in spite of the possibility of failures within the group. The goal of the project was to improve the state of the art of group commu ...

Springer Berlin Heidelberg2006

The SWARM-BOTS project

Dario Floreano, Francesco Mondada, Roderich Gross, Jean-Louis Deneubourg, Luca Maria Gambardella

This paper provides an overview of the SWARM-BOTS project, a robotic project sponsored by the Future and Emerging Technologies program of the European Community (IST-2000-31010). The paper illustrates the robot hardware, and the results of experimental wor ...

Springer Verlag2004

Jay Bailey as mentor-the students' perspective

Vassily Hatzimanikatis

Professor James E. Bailey was not only a world-renowned leader and pioneer in biochem. engineering but also a mentor to the many graduate students and postdoctoral researchers in his group. To provide non-"Bailey-ites" with an impression of Jay as a mentor ...

2002

Torsion endo-trivial modules

Jacques Thévenaz

We prove that the group T(G) of endo-trivial modules for a non-cyclic finite p-group G is detected on restriction to the family of subgroups which are either elementary abelian of rank 2 or (almost) extraspecial. This result is closely related to the probl ...

2000