Hi! Today I would like to share this preprint of mine with Stefano Galatolo, shared on arXiv. It talks about spectral gap for the transfer operator of a class of systems acting on the cross product of two Riemannian compact manifolds N_1 x N_2, which contracts the vertical foliation. Moreover, we give an application to the quantitative stability of the physical measures of these systems by estimating the modulus of continuity.
You can download the file by clicking below
Spectral Gap and quantitative statistical stability for systems with contracting fibers and Lorenz like maps
