Thursday 16 Nov 2017: Some new statistical properties of piecewise linear Fibonacci maps
Dalia Terhesiu - University of Exeter
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.