Seminario del 2017

This is joint work with Claudio Bonanno and Paolo Giulietti. We study the properties of ‘infinite-volume mixing’ for two classes of intermittent maps: expanding maps of [0,1] with an indifferent fixed point in 0 preserving an infinite, absolutely continuous measure; and expanding maps of the half-line with an indifferent fixed point at infinity preserving the Lebesgue measure. All maps have full branches. While certain properties are easily adjudicated, the so-called global-local mixing, namely the decorrelation of a global and a local observable, is harder to prove. We do this for two subclasses of systems. As an application, we use global-local mixing to the prove certain limit theorems for our intermittent maps.

indietro