Baladi Lab

Research focus

ERC Advanced Grant · 2017

Smooth dynamics via Operators, with Singularities

The ergodic theory of smooth dynamical systems enjoying some form of hyperbolicity has undergone important progress since the beginning of the twenty first century, in part due to the development of a new technical tool: anisotropic Banach or Hilbert spaces, on which transfer operators have good spectral properties. Very recently, such tools have yielded exponential mixing for dispersing (Sinai) billiard flows (i.e. the 2D periodic Lorentz gas), which are the archetypal smooth systems with singularities. We will study other challenging natural systems, mostly with singularities, by using functional analytical tools, in particular transfer operators acting on anisotropic spaces (including…

From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.