**Sourav Ghosh**

University of Paris, France

August 20, 2015

**Thermodynamics of Margulis Space Time**:
In this talk I will describe the stable and unstable leaves for the
geodesic flow on the space of non-wandering space like geodesics of a
Margulis Space Time. I will also show that monodromy of Margulis Space
Times are ``Anosov representations in non semi-simple Lie groups''.
Finally using the Anosov property I will define the Pressure metric on the Moduli Space of Margulis Space Times without ``cusps'' and show that it is positive definite on the constant entropy sections.