On the null-set lamination space.


ALBERGE, Vincent


After recalling the notion of measured geodesic lamination on a given closed hyperbolic surface, we will define a new set called the null-set lamination space and following a Ivanov result we shall prove a rigidity result.
I will discuss how this quantity is related to another one: the exponential rate of growth of the volume of a ball in the Hilbert metric on the convex body.
This is joint work with Constantin Vernicos.