Some new statistical properties of piecewise linear Fibonacci maps
Ergodic Theory and Dynamical Systems Seminar
5th October 2017, 3:00 pm – 4:00 pm
Howard House, 4th Floor Seminar Room
In this talk, I will first recall the model of piecewise linear Fibonacci maps, stressing on the fact that these are essentially null recurrent Markov shifts lacking regular variation. In the first part, I will discuss some new results on the asymptotic behaviour of the pressure function; these results are joint work with Henk Bruin and Mike Todd.
In the second part of the talk, I will discuss a result on limit laws for these maps, somewhat similar to Darling Kac laws; this result is joint work with Peter Kevei.