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Lamplighters and the bounded cohomology of Thompson's group

Publications associées (32)

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Some remarks on orbit sets of unimodular rows

Jean Fasel

Let A be a d-dimensional smooth algebra over a perfect field of characteristic not 2. Let Um(n+1)(A)/En+1 (A) be the set of unimodular rows of length n + 1 up to elementary transformations. If n >= (d + 2)/2, it carries a natural structure of group as disc ...

2011

On the bounded cohomology of semi-simple groups, S-arithmetic groups and products

Nicolas Monod

We prove vanishing results for Lie groups and algebraic groups (over any local field) in bounded cohomology. The main result is a vanishing below twice the rank for semi-simple groups. Related rigidity results are established for S-arithmetic groups and gr ...

De Gruyter2010

A note on topological amenability

Nicolas Monod

A simple characterisation of topological amenability in terms of bounded cohomology is proved, following Johnson's formulation of amenability. The connection to injective Banach modules is established. ...

Oxford University Press2010

A Simple Learning Strategy for High-Speed Quadrocopter Multi-Flips

Raffaello D'Andrea

We describe a simple and intuitive policy gradient method for improving parametrized quadrocopter multi-flips by combining iterative experiments with information from a first-principles model. We start by formulating an N-flip maneuver as a five-step primi ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Method and apparatus for controlling the movement of a liquid on a nanostructured or microstructure surface

Tobias Schneider, Shu Yang

US Patent App. 12/370,219 ...

2009

From spheres to spheropolyhedra: generalized Distinct Element Methodology and algorithm analysis

Thomas Liebling, Lionel Pournin

The Distinct Element Method (DEM) is a popular tool to perform granular media simulations. The two key elements this requires are an adequate model for inter-particulate contact forces and an efficient contact detection method. Originally, this method was ...

Springer2009

Calibration of a surgical microscope with automated zoom tenses using an active optical tracker

Gaëtan Marti

Background In this paper, we present a new method for the calibration of a microscope and its registration using an active optical tracker. ...

2008

Vanishing up to the rank in bounded cohomology

Nicolas Monod

We establish the vanishing for non-trivial unitary representations of the bounded cohomology of SLd up to degree d-1. It holds more generally for uniformly bounded representations on superreflexive spaces. The same results are obtained for lattices. We als ...

2007

An invitation to bounded cohomology

Nicolas Monod

A selection of aspects of the theory of bounded cohomology is presented. The emphasis is on questions motivating the use of that theory as well as on some concrete issues sugested by its study. Specific topics include rigidity, bounds on characteristic cla ...

European Mathematical Society2006

Orbit equivalence rigidity and bounded cohomology

Nicolas Monod

We establish new results and introduce new methods in the theory of measurable orbit equivalence. Our rigidity statements hold for a wide (uncountable) class of negatively curved groups. Amongst our applications are (a) measurable Mostow-type rigidity theo ...

2006