We present a general setting in which the formula describing the linear response of the
physical measure of a perturbed system can be obtained. In this general setting we obtain …

We introduce a random dynamical system related to continued fraction expansions. It uses
random combinations of the Gauss map and the Rényi (or backwards) continued fraction …

Continued fractions with 𝑆𝐿(2,𝑍)-branches: combinatorics and entropy Page 1
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 370, Number 7 …

In this paper we consider continued fraction (CF) expansions on intervals different from [0,
1]. For every x in such interval we find a CF expansion with a finite number of possible digits …

Invariant Measures, Matching and the Frequency of 0 for Signed Binary Expansions Page 1
Publ. RIMS Kyoto Univ. 56 (2020), 701–742 DOI 10.4171/PRIMS/56-4-2 Invariant Measures …

We adjust Arnoux's coding, in terms of regular continued fractions, of the geodesic flow on
the modular surface to give a cross section on which the return map is a double cover of the …

We consider a class of simple one parameter families of interval maps, and we study how
metric (resp. topological) entropy changes as the parameter varies. We show that in many …

We investigate matching for the family T α (x)= β x+ α (mod 1), α∈[0, 1], for fixed β> 1.
Matching refers to the property that there is an n∈ N such that T α n (0)= T α n (1). We show …

Two closely related families of α-continued fractions were introduced in 1981: by Nakada on
the one hand, by Tanaka and Ito on the other hand. The behavior of the entropy as a …

As a natural counterpart to Nakada's $\alpha $-continued fraction maps, we study a one-
parameter family of continued fraction transformations with an indifferent fixed point. We …