5 papers
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…
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…
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…
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…
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…