38 citations · 38 across the 7 of their papers we have counts for
8 papers
Groups with the fixed-point property
Nicolas Monod, Omer Tamuz, Lizzy Teryoshin
We propose the study of the class of groups that fix a point for every continuous action on any convex compact space. Oliver completed the corresponding program of classifying the…
Inadmissible representations of the tree automorphism group
Nicolas Monod
The automorphism group of a regular locally finite tree is shown to admit irreducible Banach representations that are not admissible. The dense subspace of smooth vectors contains…
Conditional means, vector pricings, amenability and fixed points in cones
Nicolas Monod
We develop a generalization of conditional probability for arbitrary ordered vector spaces. A related problem is that of assigning a numerical value to one vector relative to anoth…
Eigenfunctionals for positive operators
Nicolas Monod
We establish an eigenfunctional theorem for positive operators, evocative of the Krein--Rutman theorem. A more general version gives a joint eigenfunctional for commuting operators…
A fixed-point theorem for face maps, or deletion-tolerant random finite sets
Tom Hutchcroft, Nicolas Monod, Omer Tamuz
We establish a fixed-point theorem for the face maps that consist in deleting the th entry of an ordered set. Furthermore, we show that there exists random finite sets of intege…
Flatmates and the bounded cohomology of algebraic groups
Nicolas Monod
For all algebraic groups over non-Archimedean local fields, the bounded cohomology vanishes. This follows from the corresponding statement for automorphism groups of Bruhat--Tits b…
The bounded cohomology of transformation groups of Euclidean spaces and discs
Francesco Fournier-Facio, Nicolas Monod, Sam Nariman +1
We prove that the groups of orientation-preserving homeomorphisms and diffeomorphisms of are boundedly acyclic, in all regularities. This is the first full computati…
Amenable actions, free products and a fixed point property
Yair Glasner, Nicolas Monod
We investigate the class of groups admitting an action on a set with an invariant mean. It turns out that many free products admit such an action. We give a complete characterisati…