Monod, NicolasSchiavo, Vasco2021-10-212021-10-212021-10-21202110.5075/epfl-thesis-8907https://infoscience.epfl.ch/handle/20.500.14299/182372We study a fixed point property for linear actions of discrete groups on weakly complete convex proper cones in locally convex topological vector spaces. We search to understand the class of discrete groups which enjoys this property and we try to generalize it for Hausdorff topological groups.entopological groupuniform structureordered vector spacenormed Riesz spaceconvex coneamenabilityfixed-point propertythesis::doctoral thesis