Géométrie projective convexe
11 au 22 juillet 2016

This ongoing Research in Pairs aims to focus on constructing a concrete example of deformations in real projective structures, or Bulging deformation. An earthquake deformation does not change the domain but bulging deformation will change the domain Ω. This corresponds to changing the vertical twisting parameter in Goldman’s coordinates. We want to investigate the dynamical property of this deformation, namely we want to show that the topological entropy remains bounded below but the entropy with respect to Sinai measure goes to zero along the bulging deformation.

Patrick Foulon (CIRM)
Inkang Kim (KIAS)