Abstract:         Experiments in fluid dynamics exhibit spontaneous transitions between laminar and turbulent behavior when the control parameter is near the transition between turbulent and laminar flow. Such behavior was termed "intermittent chaos" by Pomeau and Manneville in 1980.  We study a common model of intermittent chos, a circle map with a neutral fixed point, by developing a method, heavily inspired by the Extended Dynamic Mode Decomposition, to compute an approximation of the spectrum of the associated transfer operator. This gives us access to the system's invariant measures and the stationary measures of the associated randomly perturbed system.