DinAmicI

Speaker: Kasun Fernando  (University of Toronto, Canada) Title: Expansions in the mixing local limit theorems for dynamical systems Abstract: In this talk, we introduce higher-order expansions in the mixing local limit theorems for Birkhoff sums. We will discuss the general results under technical assumptions, and illustrate them by different examples (e.g., subshifts of finite type, Young towers, … Continue reading Kasun Fernando (University of Toronto, Canada) →

Speaker: Mauro Artigiani  (Universidad del Rosario, Colombia) Title: Double rotations and their ergodic properties Abstract: Double rotations are the simplest subclass of interval translation mappings. A double rotation is of finite type if its attractor is an interval and of infinite type if it is a Cantor set. It is easy to see that the restriction of … Continue reading Mauro Artigiani (Universidad del Rosario, Colombia) →

Speaker: Matteo Tanzi  (New York University, USA) Title: Random-like properties of chaotic forcing Abstract: We prove that skew systems with a sufficiently expanding base have "approximate" statistical properties similar to random ergodic Markov chains. For example, they exhibit approximate exponential decay of correlations, meaning that the exponential rate is observed modulo a controlled error. The fiber … Continue reading Matteo Tanzi (New York University, USA) →