3 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
On a set of numbers arising in the dynamics of unimodal maps
Stefano Isola
In this paper we initiate the study of the arithmetical properties of a set numbers which encode the dynamics of unimodal maps in a universal way along with that of the correspondi…
A one-parameter family of analytic Markov maps with an intermittency transition
Manuela Giampieri, Stefano Isola
In this paper we introduce and study a one-parameter family of piecewise analytic interval maps having the tent map and the Farey map as extrema. Among other things, we construct a…
On systems with finite ergodic degree
Stefano Isola
In this paper we study the ergodic theory of a class of symbolic dynamical systems where the left shift transformation on and i…
On the rate of convergence to equilibrium for countable ergodic Markov chains
Stefano Isola
Using elementary methods, we prove that for a countable Markov chain of ergodic degree the rate of convergence towards the stationary distribution is subgeometric of or…