46 citations · 104 across the 18 of their papers we have counts for
23 papers
Words and numbers: a dynamical systems perspective
Stefano Isola, Francesco Marchionni
Along with some known and less known results, we discuss new insights relating combinatorics of words and the ordering of the rationals from a dynamical systems point of view, some…
A Poincaré map for the horocycle flow on and the Stern-Brocot tree
Claudio Bonanno, Alessio Del Vigna, Stefano Isola
We construct a Poincaré map for the positive horocycle flow on the modular surface , and begin a systematic study of its dyn…
On integer partitions and continued fraction type algorithms
Wael Baalbaki, Claudio Bonanno, Alessio Del Vigna +2
We show that the additive-slow-Farey version of the traditional continued fractions algorithm has a natural interpretation as a method for producing integer partitions of a positiv…
The simplest erasing substitution
Alessandro Della Corte, Stefano Isola, Riccardo Piergallini
In this work, we begin the study of a new class of dynamical systems determined by interval maps generated by the symbolic action of erasing substitution rules. We do this by discu…
Diffuse Behaviour of Ergodic Sums Over Rotations
Jean-Pierre Conze, Stefano Isola, Stéphane Le Borgne
For a rotation by an irrational on the circle and a BV function , we study the variance of the ergodic sums . When is not of…
Series expansions for Maass forms on the full modular group from the Farey transfer operators
Claudio Bonanno, Stefano Isola
We deepen the study of the relations previously established by Mayer, Lewis and Zagier, and the authors, among the eigenfunctions of the transfer operators of the Gauss and the Far…