Rizwanullah: Doubly Intermittent Singular Skew Product

Abstract: The statistical characteristics of interval maps having indifferent fixed points have been extensively investigated. A method to examine a comparable issue in higher dimensions is through the skew product system, which is a coupling of two systems non-autonomously. This presentation will discuss a joint work with Stefano Luzzatto, where we analyzed a skew product system by coupling a uniformly expanding circle map with a double intermittent interval map exhibiting unbounded derivatives. By utilizing the inducing technique, we have demonstrated that this system possesses a unique ergodic absolutely continuous invariant probability (acip) with a polynomial decay of correlations.